Vibrations
that Split Molecules Produce Energy
This paper is quite astounding in that it correlates
with Keelys' claim that water can be progressively
dissociated at 620, 630 and 12,000 cycles per second.
These are on the molecular, atomic and etheric levels
respectively.
It is interesting that the etheric level of
12,000 / 20 = 600 (Puharich's
frequency) found by original experimentation. This 600 cps
frequency is therefore a harmonic
of the 12,000 cps frequency which Puharich
discovered.
Keely also claims that the disruption of water occurs
at 42,800 cycles per second.
The direct quote from the book "Keely and His Discoveries"
by Bloomfield Moore, published in 1893 ;
"The orders of intensification for accelerating dissociation
would not be understood by any explanations that could be
made, if unaccompanied by the demonstrations
witnessed by the late Professor Leidy, Dr. Brinton, and
others.
"When the ether flows from a tube, its negative
centre represents molecular sub-division carrying
interstitially (or between its molecules) the lowest
order of liberated ozone.
"This is the first order of ozone and its wonderfully
refreshing and vitalizing to those who breathe it.
"The second order, or atomic separation, releases
a much higher grade of ozone; in fact, too pure for
inhalation, is the one that has been (though attended
withe much danger to the operator) utilized by Keely in his
carbon register to produce the circuit of high vibration
that breaks up the molecular magnetism which is
recognized as cohesion.
"The acceleration of these orders is governed by the
introductory impulse on a certain combination of vibrator
chords, arranged for this purpose in the instrument, with
which Keely dissociates the elements of water, and which he
calls a Liberator.
"In molecular dissociation one fork of 620 is used, setting
the chords on the first octave.
"In atomic separation two forks, one of 620 and one of 630
per second; setting the chords on the second octave.
"In the etheric three forks one of 620, one of 630, and one
of 12,000, setting the chords on the third octave.
As a matter of further clarification, Keely states that you
cannot DIRECTLY dissociate a single level of aggregation due
to the shell structure of matter.
In other words, if you wish to dissociate the Atomic level,
you must first dissociate the molecular to be able to get to
theatomic. That follows also if you wish to dissociate the
etheric, you must disrupt the molecular AND the atomic, THEN
the etheric.
Keely refers to this technique as progressive dissociation.
Excerpts
re: John Keely in W.J. Colville : "Dashed against the
rock, a romance of the coming age
https://archive.org/details/dashedagainsttherock00colviala
https://ia800306.us.archive.org/31/items/dashedagainsttherock00colviala/dashedagainsttherock00colviala.pdf
Dashed against the rock, a romance of the coming age
by Colville, William Wilberforce Juvenal, 1862-1917
Published 1894; Publisher Boston : Colby &
Rich
DASHED
AGAINST THE ROCK
A
Romance of the Coming
W. J.
COLVILLE
EDITOR OF " THE
PROBLEM OP LIFE "
AUTHOR OF " SPIRITUAL THERAPEUTICS," " STUDIES IN
THBEOSOPHY, ETC.
" Happy shall he be that taketh and dasheth thy little ones
against the rock" -- Psalm cxxxvii. 9 (Revised Version)
CHAPTER
IV.
THE MYSTIC AT HOME.
IN a charming suburban residence about ten miles from
Liverpool Street station, on a lovely June day, when the
fashionable London season of '93 was rapidly
nearing its close, Madame Discalcelis found herself in the
presence of a modest gentleman about thirty years of age,
plainly attired in the customa^ house-dress of men who
attach more value to comfort than to display. Speaking with
clear, measured accents on the subject which possessed his
brain and evidently lay nearest to his heart, his fine
lustrous eyes glowing with suppressed fervor, he uttered the
following noteworthy statements concerning the ultimate
constitution of matter and the action of the force
regulating its phenomena, statements which surely challenge
the closest attention of the whole scientific world.
" First. Matter is capable of infinite subdivision.
"Second. In the aggregation of matter, force or energy is
stored up or conserved.
" Third. In the dissociation of matter, force is liberated.
"Fourth. All matter is in a state of perpetual activity,
whether the substance under consideration be inanimate or
animated, visible or invisible.
"Fifth. There is no dividing of matter and force into two
distinct terms, as they both are ONE. FORCE is liberated
matter. Matter is force in bondage.
"Sixth. All motion is synchronous; no sound or movement can
be made but all that moves or sounds does so in harmony with
something.
"Seventh. All structures, whether crystalline or
homogeneous, have for their unit structures minute bodies
called molecules. It is the motion of these mole
cules with which we have particularly to deal; as in
experimental research and demonstration, when we produce an
action upon one molecule we do so upon all the molecules
constituting the mass operated upon.
" Eighth. These molecules have an envelope, rotating with
inconceivable rapidity, formed of a high tenuous ether,
whose place in the order of subdivision
ranks third, the three divisions being, first, molecular;
second, atomic; third, atomolicr (For convenience' sake we
will use the term atomolic in place of ethericin our
subsequent definitions.)
"Ninth. This atomolic substance has a density approximately
986,000 times that of steel, enabling it to permeate steel
as light penetrates glass ; this rotating
envelope of atomolic substance is in a liquid condition.
There are four conditions of matter; viz. solid, liquid,
gaseous, and ultra-gaseous. These conditions result from
greater or lesser range of oscillation of the com posing
units individually: this is equal!}- true, whether the units
are molecules, atoms, atomoles, planets, or suns. But one
LAW governs all matter.
"Tenth. This molecular envelope, rotating with such great
velocity, holds in its embrace the next subdivision of
matter, the atomic. There cannot ever
be more or less than three atoms in any molecule. These are
placed so as to form a triangle in the interior; they rest
in a condition of substance, or matter, we will term
inter-molecular. In this inter-molecular substance we find
an enormous energy or force in bondage, held thus by the
rotating envelope enclosing it. Were we to rotate a spun
brass shell, sa}' nine inches in diameter, at a very much
less rate of speed than that at which the molecular envelope
rotates, say nine hundred revolutions per second, its
equator would first bulge out, then form into an oval disc.
A solid block of wood subject to such revolution would
swiftly fly to pieces. The rotating envelope of a molecule,
unlike these, the greater its velocity of rotation, the
greater is its compression toward the centre of the
molecule. The rotation of this envelope is of such a nature
as to produce an internal pressure upon every portion from
every point of the molecule as a sphere. Were we to consider
a rotating envelope as ordinarily understood, it would be
one in which the envelope rotated around an equator having
poles of no rotation; i.e. the poles would not possess the
compressing force of the equator: the result would therefore
be a compressed equator, and the intermolecular substance
would pass out without resistance at the poles.
" Eleventh. If it be possible let us conceive of an envelope
with an equator, but destitute of poles, a number of these
rotating over the sphere, this atomolic envelope possessing
an almost infinite attractive force toward the centre of the
molecule, pressing in the inter-molecular substance, where
it is held until this
revolving envelope becomes negatized by a certain order of
vibration, when the enclosed matter rushes out to its
natural condition of concordant tenuity, as in the case of
gunpowder, dynamite, and nitro-glycerine. This force, we
must see, has been held in the embrace of the rotating
envelopes of the unit-structures, or where does it come
from? This force at the time of an explosion was liberated
by shock or fire, both being orders of imparted motion or
vibration. How much greater the result would be were we to
associate a scientific instrument now completed, and shortly
to be given to the world, with such an agent as
nitro-glycerine ; one pound of nitro-glycerine would have
its destructive force augmented beyond all possible control.
These instruments are carefully concealed by wise masters
from all persons save the few who are already prepared to
study their potency with the exclusive end in view of aiding
the real scientific progress of humanit}" ; and,
furthermore, it may be truly stated that a ferocious
sensualist, how ever powerful his intellect, would be
utterly unable to either comprehend or operate one of these
marvellous constructions.
"Twelfth. Next in order of consideration is the second
subdivision of matter the atomic. The atom has the same
rotating envelope as the molecule, governed by the same laws
of rotation and compression.
The rotating envelope holds in its embrace the inter-atomic
substance and three atomoles resting in it, the atomoles
within the atom being constructed after the same pattern as
the atom and the molecule, obedient to the same laws; the
atomolic being simply the third subdivision of matter. The
threefold order is absolutely universal.
"Thirteenth. The atomolic substance is what is termed the
ether which fills all space and is the transmitting medium
for all celestial and terrestrial forces. This is the liquid
ether of occult science.
" Fourteenth. The atomoles are made up of atomolini
(singular atomolinus); the subdivision of matter from this
point is beyond man's power, as at this point it escapes all
control of apparatus, passing through glass and hardened
steel as a luminous flame without heat, which is hardly seen
before it vanishes, a perpetual flame coldly luminous.
"Sixteenth. This again, from previous analysis, is made up
according to the triple order, and may again be subject to
subdivision, even to infinity."
"In my next interview with you," said Aldebaran to his
visitor, "I shall endeavor to show you the law governing the
triple aggregation of force and matter,
which is, in brief, as follows: first, CREATIVE SOURCE;
second, TRANSMISSIVE WAVE; third, EFFECT."
The mystical scientist then took a courteous leave of his
visitor, and after seeing her to her carriage, hurried to
the suburban station connecting with the under ground
railway to Aldsgate, where he had important business with a
distinguished mechanical engineer.
CHAPTER
V.
FURTHER REVELATIONS.
ON the occasion of the next meeting between the lady and the
scientist the latter gave utterance to the following
remarkable truth.
Each molecule has three envelopes. The most external one the
professor illustrated by an india-rubber ball on which he
had traced a number of meridian lines.
On another ball were represented the three envelopes. The
outer hemisphere of one of the envelopes is removed to show
the under envelope, the outer hemisphere of which is removed
in still another part of the diagram to show the inmost
envelope. A third diagram was then produced to show the
position of the atoms which the rotating envelopes enclose.
A fourth diagram showed the lines of interference of the
rotating envelopes.
There being three perfect envelopes, these of necessity must
have six poles, to which add the neutral centre of the
sphere itself, comprising the origin of the septenary of
mysticism which is universal in nature. The fifth diagram
exhibited showed the subdivision of matter into atomic,
atoinolic, and atomolinic. A black disc representing a
sphere shows the negative atom; two white discs also
representing spheres illustrate the two positive atoms in
the triad, completing the tertiary aggregation forming the
molecule. Each atom is in turn composed of three atomoles ;
in the negative atom are three positive atomoles, positive
in the sense of activity; in the positive atom are also
three atomoles, two of which are negative, i.e. passive, and
one positive. The negative is always that which seeks the
neutral centre ; the positive represents the active
radiating energy: for instance, the sun is a medium for
transmitting radiant energy of positive order, which all the
planets receive negatively, i.e. it focalizes upon their
neutral centres. This order extends to infinity. The final
diagram presented was simply intended to further elucidate
the action of the rotating envelopes, illustrating the
compressing force of the rotating spheral and the protection
of the neutral poles. In the rotating envelopes force acts
in the opposite direction to its action in the revolution of
the earth, where the centrifugal action is greatest at the
equator; and the greater the speed of rotation, the greater
the centre-fleeing force.
In the case of the etheric envelope, however, the greater
the speed of rotation, the more powerful is the centripetal
(centre -seeking) force which compresses
the atoms within ; the pressure, therefore, is greatest at
the equator and gradually lessens toward the poles. If there
were only one envelope, the tendency would be for the atoms
to be oblate, to fly out at the poles, where the pressure is
least. A beautiful provision of nature obviates this, by
providing three envelopes, rotating one within
the other, like three shells ; the line of greatest internal
pressure in each one of which being protected by the
equatorial lines, the line of greatest pressure covering the
line of least pressure on the others. Each of the three
atoms is placed directly under one pole of each of the three
envelopes.
If the rotating envelope of the molecule were in any way
checked in its motion, the enclosed matter would immediately
burst forth, producing the phenomenon of integration,
releasing from its previously pent-up condition a volume of
matter many times as great as that before disintegration
took place. Sound-force moving at certain rates of vibration
negatizes the action of the rotating envelopes, producing
conditions which result in their breaking up, followed by
the separation of the atoms contained in those envelopes,
and also of inter-molecular substance occupying space not
taken up by the atoms. By successive orders of vibration the
atoms, atomoles, and atomolini are disintegrated, and so on
to the luminous order, where all control ceases...
DIAGRAM
1.
External View of Atom.
See page 51.

DIAGRAM 2.
Showing Sections of the Three Envelopes.
See page 51.

DIAGRAM 3.
Showing Positions of Atoms in Inner Envelope.
See page 51.

DIAGRAM 4.
Showing Lines of Interference of Triple Envelope.
See page 51.

DIAGRAM 5.
Molecule showing Subdivision of Matter.
See page 51.

DIAGRAM 6.
See page 52.
CHAPTER VI.

THE BASIS OF A NEW SCIENCE.
..."The newly discovered forces, and laws governing all
forces, make possible the processes herein described.
Scientific investigations no longer consist in a blind
groping after facts; an untried chemical combination can now
be planned and its results predicted. Synthetical operations
covering the entire domain of organic chemistry can be
worked according to simple rules and methods deducible from
these newly discovered laws and by the aid of these, to us,
new forces. With a knowledge of these facts it is possible
for man to work a wondrous change in his methods of
manipulating matter.
"I shall be happy to present you with a table of definitions
which I have written out as briefly and succinctly as
possible ; and though I doubt not the definitions will be
well-nigh incomprehensible to the masses, you are at liberty
to make any use of them you please in your literary
endeavors to enlighten humanity."
DEFINITIONS.
ATOMOLES are elementary units of matter uniform in size and
weight, and exist in solid, liquid, gaseous, and isolated
forms.
ATOMS are multiple combinations of atomoles, and they also
exist in solid, liquid, gaseous, and isolated forms.
SIMPLE MOLECULES are formed by the union of two atoms of the
same kind.
COMPOUND MOLECULES are unions of two atoms of dissimilar
kind.
COMPLEX MOLECULES are unions of molecules with other
molecules or atoms.
PITCH is the relative frequency of vibration.
VIBRATION is the rhythmical motion of a body within itself.
OSCILLATION is a rhythmically recurring translatory
movement.
TRANSMISSIVE ENERGY is rhythmical motion of condensation and
rarefaction produced by the vibrating or oscillating body in
the medium in which it is immersed.
ATTRACTION is the mutual approach of aggregates caused by
con centrated waves of harmonic energy, tending to move in
line of least resistance, by becoming the centre of
one series of concentric waves instead of two or more
series.
HARMONY is the simultaneous vibration of two or more bodies
whose harmonics do not produce discords, and whose funda
mental pitches are harmonics of the lowest pitch, or are a
unison with the resultant notes or overtones, or undertones,
of
any two or more of them.
ETHER is an atomolic liquid 986,000 times the density of
steel.
ELECTRICITY is the oscillation of the atomoles of an atom.
INDUCTION is the transmissive force of the electric
vibration in
ether.
58 DASHED AGAINST THE ROCK.
MAGNETISM is the mutual attraction of juxtaposed bodies
vibrat
ing at unison or harmonic electric pitches.
GRAVITY is the mutual attraction of atomoles.
GRAVISM is the transmissive form through a medium of
atomoles
in the fourth state, or a medium composed of atomolini.
ATOMOLINI are ultimate units of atomoles, and when in a
liquid
state are the media for the transmission of gravism. The
illimitable divisibility and aggregation of matter is a
logical
sequence.
1. Law of Matter and Force :
Coextensive and coeternal with space and duration, there
exists an infinite and unchangeable quantity of atomoles,
the
base of all matter ; these are in a state of constant
vibratory
motion, infinite in extent, unchangeable in quantity, the
initial of all forms of energy.
2. Law
of Corporeal Vibrations :
All coherent aggregates when isolated from like bodies, or
when immersed or confined in media composed of matter in
a different state, vibrate at a given ascertain able pitch.
3. Law
of Corporeal Oscillation :
All coherent aggregates not isolated from like bodies,
oscillate at a period-frequency varying with the tensions
that augment and diminish the state of equilibrium.
4. Law
of Harmonic Vibrations :
All coherent aggregates are perpetually vibrating at a
period-frequency corresponding to some harmonic ratio of the
fundamental pitch of the vibrating body ; this pitch is a
multiple of the pitch of the atomole.
5. Law
of Transmissive Vibraic Energy :
All oscillating and vibrating coherent aggregates create, in
the media in which they are immersed, outwardly propagated
concentric waves of alternate condensation and rarefaction,
having a period-frequency identical with the pitch of the
aggregate.
Scholium: All forms of transmissive energy can be focussed,
reflected, refracted, diffracted, transformed, and
diminished in intensity inversely as the square of the
distance from the originating source.
6. Law
of Sympathetic Oscillation :
Coherent aggregates immersed in a medium pulsating at their
natural pitch simultaneously oscillate with the same
frequency, whether the pitch of the medium be a unison, or
any harmonic of the fundamental pitch of the creative
aggregate. .
7. Law
of Attraction :
Juxtaposed coherent aggregates vibrating in unison, or
harmonic ratio, are mutually attracted.
8. Law
of Repulsion :
Juxtaposed coherent aggregates vibrating in discord are
mutually repelled.
9. Law
of Cycles :
Coherent aggregates harmonically united constitute centres
of vibration bearing relation to the fundamental pitch not
multiples of the harmonic pitch, and the production of
secondary unions between themselves generate pitches that
are discords, either in their unisons, or overtones with the
original pitch ; from harmony is generated discord, the
inevitable cause of perpetual transformation.
10. Law
of Harmonic Pitch :
Any aggregate in a state of vibration develops in addition
to its fundamental pitch a series of vibration in
symmetrical sub-multiple portions of itself, bearing ratios
of one, two, three, or more times its fundamental pitch.
11. Law
of Force :
Energy manifests itself in three forms : Creative, the
vibrating aggregate ; Transmissive, being the propagation of
isochronous waves through the media in which it is immersed;
Attractive, being its action upon other aggregates capable
of vibrating in unisons or harmony.
12. Law
of Oscillating Atomic Substances :
Coherent atomic substances are capable of oscillating at a
pitch varying directly as the density, and inversely as the
linear dimensions from one period of frequency per unit of
time to the 21st octave above, producing the creative force
of Sonity, whose transmissive force (Sound) is propagated
through the media of solids, liquids, and gases, and whose
static effect (Sonism) produces attractions and repulsions
between sympathetically vibrating bodies according to the
Law of Harmonic Attraction and Repulsion.
13. Law
of Sono-thermity :
Internal vibrations of atomic substances and atomic
molecules are capable of vibrating at a period-frequency
directly as their density, inversely as their linear
dimensions, directly as the coefficient of their tension
from the 21st to the 42d octaves, producing the creative
force (Sono-thermity), whose transmissive force (Sono-therm)
is propagated in solid, liquid, gaseous, and ultra-gaseous
media, statically producing adhesions and molecular unions,
or disintegration, according to the Law of Harmonic
Attraction and Repulsion.
14. Law
of Oscillating Atoms :
All atoms when in a state of tension are capable of
oscillating at a pitch inversely as the cube of their atomic
weights, and directly as their tension from 42 to 63 octaves
per second, producing the creative force (Thermism), whose
transmissive force (Rad-energy) propagated in solid, liquid,
and gaseous ether, produces the static effects (Cohesion and
Chemism) on other atoms of association, or dissociation,
according to the Law of Harmonic Attraction and Repulsion.
Scholium : Dark radiant heat begins at absolute zero
temperature, and extends through light, chemical rays,
actinic rays, and infra-violet rays, up to the dissociation
of all molecules to the 63d octave.
15. Law
of Vibrating Atornolic Substances :
Atoms are capable of vibrating within themselves at a pitch
inversely as the Dyne (the local coefficient of Gravity),
and as the atomic volume, directly as the atomic weight,
producing the creative force (Electricity), whose
transmissive force is propagated through atomolic solids,
liquids, and gases, producing induction and the static
effect of magnetism upon other atoms of attraction or
repulsion, according to the Law of Harmonic Attraction and
Repulsion.
Scholium : The phenomena of Dynamic Electricity through a
metallic conductor and of induction are identical. In a
metallic conductor, the transmission is from atom to atom,
through homologous interstices, filled with ether,
presenting small areas in close proximity. In crystalline
structures, heat, which expands the atoms, by twisting them
produces striae, increases the resistance, etc. Between
parallel wires and through air the induction takes place
from large areas through a rarefied medium composed of a
mixture of substances, whose atoms are separated by waves of
repulsion of various pitches, discordant to electric
vibrations ; the said atoms sympathetically absorb the
vibrations and dissipate from themselves, as centres,
concentric waves of electric energy which produces heat and
gravism.
16. Law
of Oscillating Atomoles :
Atomoles oscillating at a uniform pitch (determined by their
uniform size and weight) produce the creative force
Atomolin/, whose transmissive form, Gravism, is propagated
through more rarefied media, producing the static effect
upon all other atomoles, denominated Gravity.
17. Law
of Transformation of Forces :
All forces are different forms of Universal Energy unlike in
their period-frequency, merging into each other by
imperceptible increments ; each form representing the
compass of 21 octaves. Each form or pitch may be transformed
into an equivalent quantity of another pitch above or below
it in the scale of 105 octaves. The transformation can occur
only , through its static effect, developing vibrations of
harmonic pitches above and below their fundamental
vibration, or developing with juxtaposed aggregates,
resultant and difference, or third order, as the case may
be.
Scholium : A table of the intervals and harmonics of the
normal harmonic scale will indicate the ratios in which the
transformation of forces will occur.
18. Law
of Atomic Pitch :
Atoms have each a different and definite pitch, at which
they naturally vibrate.
Scholium : Atomic pitch is determined directly from its
simple spectrum.
Scholium : Atomic pitch is determined by computations from
its associate spectrum with all other atoms, as in known
spectra.
Scholium: Atomic pitches are more important working data
than atomic weights ; tables of atomic pitches must be
precise.
19. Law
of Variation of Atomic Pitch by Rad-energy :
The higher harmonics and overtones of projected rad-energy
are of a pitch sufficiently high to cause the atom to
expand; by causing the atomoles to vibrate systematically
the same influence will cause the atom to contract, and thus
by changing the volume, atomic pitch is varied.
20. Law
of Variation of Atomic Pitch by Electricity and Magnetism
:
Electricity and Magnetism produce internal vibrations in the
atom, which are followed by proportional changes in volume
and, therefore, pitch.
21. Law
of Variation of Atomic Pitch by Temperature :
Atoms in chemical combination oscillate with increasing
amplitude directly as the temperature, and simultaneously
absorb overtones of higher harmonics, producing expansion of
volume and diminution of pitch.
Rule : The gradual approach of the temperature of harmonic
combination can be observed by mutually comparing
superimposed spectra; chemical combination commences when
the fundamental lines of each spectrum bear harmonic ratios
by linear measurement.
22. Law
of Pitch of Atomic Oscillation :
Atoms not isolated and in a state of tension between forces
that oppose and increase the equilibrium oscillate bodily at
a pitch that is a resultant of the atomic weight, atomic
volume, and tension.
23. Law
of Variation of Pitch of Atomic Oscillation by Pressure :
The frequency of atomic oscillation increases and diminishes
inversely as the square of the pressure.
24. Law
of Variation of Atomic Oscillation by Temperature :
The force of cohesion diminishes inversely as the square of
the distance the atoms are apart, and the force of the
chemical affinity diminishes in the same ratio. Heat
increases the amplitude of the oscillations in a direct
ratio to the temperature of the natural scale.
Scholium : New thermometers and accurate thermometric
tables, on the natural bases, wherein doubling the
temperature doubles the pitch of the transmissive energy,
are required. Such a table of temperature will bear natural
relations to atomic weights, pitches, specific heats,
chemical affinities, fusions, solubilities, etc., and will
disclose new laws. One table for each must be constructed.
25. Law
of Variation of Atomic Oscillation by Electricity :
The electric current destroys cohesion and chemical tension
directly as square of current in amperes, inversely as the
resistance in ohms, inversely as the chemical equivalent,
and conversely as the coefficient of the difference between
the freezing and volatilizing temperature of mass acted
upon.
26. Law
of Variation of Atomic Oscillation by Sono-thermism :
Diminishes the tensions directly as the quantity of heat
developed, and in antithetical proportion to the harmonics
absolved.
27. Law
of Chemical Affinity :
Atoms whose atomic pitches are in either unison, harmonic or
concordant ratios, unite to form molecules.
Corollary: When two atoms are indifferent, they may be made
to unite by varying the pitch of either, or both.
Scholium : This necessitates the construction of tables
representing variation of atomic pitches by temperature,
pressure, etc.
Scholium: Tables of all harmonics and concords, and
harmonics founded upon a normal harmonic scale, are equally
essential.
Scholium: Optical instruments may be made to measure pitches
of energy.
28. Law
of Chemical Dissociation :
If the pitch of either atom, in a molecule, be raised or
lowered ; or, if they both be unequally raised or lowered in
pitch until the mutual ratio be that of a discord ; or, if
the oscillation amplitude be augmented by heat until the
atoms are with the concentric waves of attraction, the atoms
will separate.
29. Law
of Chemical Transposition :
New molecules must be harmonics of the fundamental pitch.
30. Law
of Chemical Substitution (too complex for brief statement)
.
31. Law of Catalysis:
The presence of harmonics and discords.
32. Law
of Molecular Synthesis and Combination (Organic) :
The molecular pitch must be a derived harmony of the
radicals.
Scholium : Reconstruction of electric units to represent
pitches and amplitudes.
33. Law
of Chemical Morphology :
The angle of crystallization is determined by the relation
between the molecular pitch of the crystallizing substance
to the vibration-density of the liquid depositing it.
34. Law
of Atomic Dissociation:
Overtones of high rad-energy pitches produce separation of
the atomoles and recombinations among the atomolic molecules
of the atoms.
35. Law
of Atomolic Synthesis of Chemical Elements :
Harmonic pitches of atomolity produce association of
etheric-atomolic particles to form atoms : the kind of atom
is determinable by the pitches employed.
36. Law
of Heat :
Atoms under the tension of chemical combination oscillate
with an amplitude directly as the temperature, inversely as
the pressure, and as the square of the specific heat.
Diminishing the pitch of oscillation inversely as the square
of the distance of the atoms apart, and simultaneously
increasing the vibrating pitch of the atom by absorption of
overtones and higher harmonics.
37. Law
of Electro-chemical Equivalents :
An atom vibrates sympathetically under the influence of
electric energy, such undertones of which are absorbed as
are a harmonic or harmony of the electric pitch ; the amount
of energy absorbed being directly as the arithmetical ratio
of the undertone of the fundamental electric pitch.
Scholium : A table of electro-chemical equivalents on the
normal basis will indicate the electrical conditions and
amount of chemical change.
38. Law
of Cohesion :
The cohesion between atoms diminishes directly as the square
root of the pressure and temperature, and as the square of
electric intensity.
39. Law
of Refractive Indices :
A table of the refractive indices of substances indicates
their molecular pitch ; and in connection with crystalline
form the phase of molecular oscillation.
40. Law
of Electric Conductivity :
Electric energy is transmitted through homogeneous bodies
with a completeness in direct proportion as the atoms are
more or less perfect harmonics of the electric pitch, but
not at all through substances whose atoms are discordant to
the electric pitch ; also through molecular substances, when
their resultant notes are harmonics of the electric pitch,
the transmissions being inversely as the temperature,
directly as the density diminished in proportion to the
amount of crystallization, and inversely as the cube of the
dyne, also directly as the reciprocal of the local magnetic
intensity.
As we believe the above statements to be of priceless value
to the world, in proportion as they are comprehended, we
offer no apology to our readers for introducing so many
technicalities, but publish them in the expectant hope that
some struggling seeker after scientific verity may find in
them a key to the solution of many perplexing mysteries...
Mathematical
Demonstration of the Size of an Atom.
Its Weight and Volume.
A rectangular, or preferably, a circular, disc is suspended
from the ceiling of a room in such a manner that vibrations
cannot be communicated to it from the vibrating walls of the
room. It is then experimentally determined to what
fundamental note the metal plate sympathetically vibrates.
Then, according to the law of linear dimensions, which is
equally applicable to solids, liquids, or gases, it is
mathematically determined what size of plate will produce
successive octaves above that pitch, until a size of plate
is obtained capable of producing a period-frequency
corresponding to that of dark radiant heat, which we know is
produced by the oscillations of atoms, and is termed therma.
The vibrating atomic substance of the plate is capable of
producing the trarismissive force called sound and
sonothermism, which is propagated through atomic media by
wave -motion, but which cannot be propagated through space
devoid of atomic substance. But when the plate has been
reduced theoretically to a size sufficiently in finitesimal
to correspond to the maximum or minimum size of an atom, as
determined by the atomic researches of Professors Tait &
Clerk Maxwell, we reach vibration frequency so high that it
can be propagated through a vacuum devoid of atomic
substance, as a transmissive force called rad-energy,
beginning with dark radiant heat. And be it carefully
observed that period-frequency corresponds with that of dark
rad-energy. The law of linear dimensions may be thus stated:
The vibration-periods of two similarly circumstanced
homologous bodies are to each other as their cubical
contents, and therefore the vibration-frequencies of
homologous metal plates are to each other as the inverse
ratio of their linear dimensions. The octave of a given
plate will be a homologous plate having ^ of its volume. A
circular disc twenty inches in diameter and one inch thick
vibrates, e.g,, 1024 times per second. The ten octaves from
unity successively reducing the size of the disc by |, we
get at each reduction the octave of the previous pitch, and
at any given octave we have the volume, weight, and
vibration-frequency of the vibrating atomic substance.
Ten octave, 1024 vibrations per second; metal disc, twenty
inches in diameter, one inch thick. To get the cubical
contents of this vibrating aggregate it is necessary to
square the diameter; we multiply by 0.7854, which is equal
to 314.16 inches in volume. Starting from this point, we
progress through successive octaves upward, increasing in
pitch and diminishing in size.
THE
SCALE OF FORCES.
First octave (unity per second) is approximately the lowest
frequency capable of producing waves of rarefaction and
condensation in the air. The atomic aggregate
oscillating at this pitch can be experimentally determined,
and the aggregate vibrating at a pitch one octave higher
will have a mass lying between ^ and the cube root of the
mass of the first-mentioned aggregate ; the exact relation
under varying conditions of gravity, magnetic saturation,
and pressure, can be determined only by accurate
measurements. But assuming a body of a size represented by
x, with a pitch represented by 1024 per second, then a pitch
of 2048 per second will be produced by a body having a
volume of some mean between of x and the cube root of x. By
accurately determining the pitch of a volume of any metallic
sphere capable of oscillating at the pitch of, e.g., the
eleventh octave of sonity (1024 per second), under normal
conditions of gravity, pressure, magnetism, and then
successively diminishing its size by ^ of itself, we get the
successive octaves of pitches higher and higher in
period-frequency until we pass the domain of sonity and
enter the domain of sono-thermity . The point where the one
form of energy merges into the other lies approximately at
the twenty-first octave, and this pitch also marks the point
where the air is no longer capable of vibrating at that
pitch in waves of transverse form. This first gamut of 21|
octaves consists of three forms ; viz. sonity, sound, and
sonism. The following is a tabulation of the pitches of
sonity in octaves from one vibration per second to where the
next form of energy commences.
FRAUNHOFER
LINES.
The Fraunhofer lines represent the silences, or the places
of invisible pitches between the luminous pitches of
rad-energy. They cannot therefore be conveniently used as
data from which to measure the fundamental pitches of the
atoms undergoing examination. When a series of sound-pencils
are projected upon a screen, they undergoa combination of
overtones and under tones at the point of contact producing
tones of a pitch either too low to be recognized by the
human ear or too high to be called sound. The Fraunhofer
lines are not therefore simply silences, but may be the
higher invisible ultra-actinic rays. The fact is that some
of the Fraunhofer lines are capable of producing a variety
of chemical actions, when reflected and focalized.
Observation thus far shows that these lines do not bear any
definite ascertainable relation to the pitches producing
them, but that they do bear some uniform relation from which
the fundamental pitch could be determined cannot be doubted.
The relation of the Fraunhofer lines to the luminous spectra
are undoubtedly such as would enable one to compute the
creative pitches producing them ; but as yet no such
determinations have been made. The accurate method of
determining them is from the mutual relation of the harmonic
pitches of the luminous spectra.
A table representing the harmonic overtones and undertones
of simple vibrations, and the resultant harmonics of
associate vibrations, will be of great convenience in making
these determinations.
The natural unity of sonity lies above 1 per second, and
below 2 per second, and for this reason the number ing of
the octaves is accomplished by calling the end of the first
octave No. 1 instead of No. 2. At the end of the
twenty-first octave sono-thermity commences, and the bodies
oscillating at this pitch are either correspondingly smaller
by ^ than the preceding sonitic aggregates; or larger
aggregates undergo vibration in submultiple portions of
themselves. In either case the originating oscillation of a
sono-thermic pitch is that of an isolated or localized
aggregation. This first class of forces, or first double
gamut, is included within the range of about forty-three
octaves. The bodies of the first gamut oscillate with a
rhythmically recurring translatory pendulous motion and
produce waves of a transverse form, while the bodies of the
second gamut undergo internal nodal vibration and produce
waves of a longitudinal form. Beyond the upper limit of the
forty-third octave we reach bodies of a size (determined
bythe same method as in sonity) which we know to be about
the size of an atom as approximately determinedby various
physicists to lie between eleven and twelve micromillimeters
(hydrogen molecules), which gives the highest pitch of the
known atoms, and from which can be roughly jestimated the
pitch of the heavier atoms. Starting with the approximate
pitch of hydrogen as determined from its associate spectrum
with oxygen, and working back to the size of the largest
atoms, we again reach a pitch corresponding to the highest
sono-thermic vibrations. Starting with the known temperature
and pitch of a heated body, emitting definite rays of light,
and working back to absolute zero, We again reach the pitch
of the sono-thermic limit.
FIRST
CLASS. SCALE OF THE FORCES IN OCTAVES.
Sonity, Sound, and Sonism.
No. of Octaves. Period-frequency.
Unity per Second.
1st.
2.
2d.
4.
3d.
8.
4th.
16.
5th.
32.
6th.
64.
7th.
128.
8th.
256.
9th.
512.
10th.
1024.
llth.
2048.
12th.
4096.
13th.
8192
14th.
16,384.
15th.
32,768.
16th.
65,536.
17th.
131,072.
18th.
262,144.
19th.
524,288.
20th.
1,048,576.
21st.
2,097,152.
Maj. 5th.
3,145,728.
Sono-thermity, Sono-therm, Sono-thermism.
22d.
4,194,304.
23d.
8,388,606.
24th.
16,777,216.
25th.
33,554,432.
26th.
67,108,864.
80 DASHED AGAINST THE ROCK.
No of Octaves Period . frequenc
Unity per Second.
27th. 134,217,728.
28th. 268,435,456.
29th. 536,870,912.
30th. 1,073,741,824.
31st. 2,147,483,648.
32d. 4,294,967,296.
33d. 8,589,934,592.
34th. 17,179,869,184.
35th. 34,359,738,368.
36th. 68,719,476,736.
37th. 137,438,953,472.
38th. 274,877,906,944.
39th. 549,755,813,888.
40th. 1,099,511,627,776.
41st. 2,199,023,255,552.
42d. 4,398,046,511,104.
SECOND CLASS.
Thermism, Rad-energy, Chemism.
43d. 8,796,093,022,208. Dark heat begins.
44th. 17,592,186,044,416.
45th. 35,184,372,088,832.
46th. 70,368,744,177,664. Chemism begins.
47th. 140,737,488,355,328. Infra-red. [begins.
48th. 281,474,976,710,656. Major fourth (above). Light
49th. 562,949,953,421,312. Below Major fourth. Light
50th. 1,125,899,906,842,624. [ends.
51st. 2,251,799,813,685,248.
52d. 4,503,599,627,370,496. Limit actinic.
53d. 9,007,199,254,740,992.
54th. 10,814,398,509,481,984.
55th. 36,028,797,018,963,968. Chemism ends.
56th. 72,057,594,037,927,936.
No. of Octave*. Period-frequency.
Unity per Second.
57th. 144,115,188,075,855,872.
58th. 288,230,376,151,711,744.
59th. 576,460,752,303,423,488.
60th. 1,152,921,504,606,846,976.
61st. 2,305,843,009,213,693,952.
62d. 4,611,686,018,427,387,904.
63d. 9,223,372,036,854,775,808.
64th. 18,446,744,073,709,551,616.
Maj. 5th. 27,670,116,110,564,327,424. Limit of thermism.
Electricity, Induction, Magnetism.
65th. 36,893,488,147,419,103,232.
66th. 73,786,976,295,838,206,464.
67th. 147,573,952,591,676,413,928.
68th. 295,147,905,183,352,827,856. Copper-zinc couple.
69th. 590,295,810,366,705,655,712.
70th. 1,180,591,620,733,411,311,424.
71st. 2,361,183,241,466,822,622,848. 50,000 volts.
72d. 4,722,366,482,933,645,245,696.
73d. 9,444,732,965,867,290,491,392.
74th. 18,889,465,931,745,580,982,784.
75th. 37,778,931,863,469,161,965,568.
76th. 75,557,863,726,938,323,931,136.
77th. 151,115,727,453,875,647,862,772.
78th. 302,231,454,907,753,295,724,544.
79th. 604,462,909,815,506,591,449,088.
80th. 1,208,925,819,631,013,182,898,176.
81st. 2,417,851,639,762,026,365,796,352.
82d. 4,825,703,278,524,052,731,592,702.
83d. 9,671,406,557,048,105,463,185,408.
84th. 19,342,813,114,096,210,926,370,816.
85th. 38,685,626,228,192,421,852,741,632.
86th. 77,361,252,456,384,843,705,483,204.
The limit of electricity and the beginning of atomolity...



CHAPTER
X.
THE GOSPEL OF VIBRATION...
AMPLITUDE OF FORCE.
The amplitude of vibrations is directly increased or
diminished by increasing or diminishing the size or number
of creative aggregates...
Thus the human race is immersed in forces whose intensity is
vast in proportion to the number of EGOS adding each its
quota to the already intense vibration, tending either to
love or hate, kindness or cruelty, timidity or bravery.
Those who intensify the force of cruelty in the place where
they reside, maybe strengthening a murderer's hand to strike
the deadly blow in a distant land. This result is brought
about through the agency of etheric waves, which transmit
forces with undiminished intensity even to uncalculated
distances. This phenomenon may be termed transympathetic.
They who feel that force called love, which on higher planes
is known as sympathy, thrill with waves of force which are
already strong, augmenting them or increasing their
intensity. They who indulge such sentiments and encourage
such forces may stop the falling hand on evil sped...
Every man contains, developed or embryonic, all conditions
of the Infinite ; therefore no height is too great to reach.
Impossibility is a meaningless word to the man who
apprehends the fathomless contents of his own nature. Thou
comest here, O man, with the instrument thou hast graduated
in thy many past existences ; how few of thy chord-settings,
if thou art numbered with the many, respond to the higher
harmonies ! Universal unity or fraternity has been absorbed
to almost embryonic conditions by the prevalence of material
self-regard. Charity has been rendered almost latent, that
beautiful chord-setting found even in the lowest forms of
creation LOVE, the dominant chord of the cycles. Love has an
amplitude of action in the brute which may well make the
selfish man ashamed, but until the crust of selfishness is
broken through, the beauty of love is obscured, and though
it exists all about him, the poor blind egotist has no eye
to discern it. The centres of love, brotherhood, charity,
voice their music loud and clear, yet the masses will not
listen. I do not mean the immortal EGO when I say man will
not listen ; I refer to the personality which is the
resultant of all the ages of action in this, now rapidly
closing, cycle...
CHAPTER
XXVI.
THE PROFESSOR IN HIS STUDY.
... [H]e was so very busy, working upon an air-ship of which
he had procured a perfect working model from Aldebaran, that
he had become almost as complete a recluse of science as
that exceedingly retiring worker, who scarcely ever allowed
himself an evening, much less a day, in which to pay tribute
to the social amenities, without which life would be such a
complete blank to the devotees of fashion, and not to them
only, but to many kindly natures whose gregarious instincts
are strong, and who have little interest in life outside
their fellowship with others...
Two or three clergymen who were present, and notably Mrs.
Northafriker, an earnest missionary to foreign lands,
expressed an intense desire to witness the progress
already made by Professor Monteith; but as the work was not
sufficiently completed to admit of close inspection, without
disturbing the professor too greatly in the midst of his
laborious, but beloved, undertaking, he declared himself
obliged to content himself, and trusted they would be
contented, with seeing the model which as the pattern he was
faithfully determining to copy on a much larger scale.
Though his own work was as yet immature, he assured them
that others had made great progress, though he was only in
the infancy of his herculean task.
The model is accurately described, as far as it can be at
present, in a previous chapter of this book. See page 280.
"The propeller of this wonderful aerial navigator," said the
professor, "is now actually in existence in Philadelphia ;
for I have seen it there and I have, therefore, the
authority of an eye-witness for this statement, as well as
the word of many distinguished scientific investigators,
whose judgment and veracity are entirely beyond dispute. It
is a stupendous fact, of colossal magnitude, that the above
navigator has associated with it all the conditions
requisite for interstellar communication, it being
positively proven that this wonderful vessel can navigate
the air under all varying atmospheric conditions, from the
calmest to the most perturbed, and is capable of travelling
with amazing velocity, as well as at the lowest possible
rate of motion, and that with perfect safety to the vessel
and its inmates, making due allowance for atmospheric
friction." ...
CHAPTER
XXV.
WHAT OF AERIAL NAVIGATION?
AMONG the problems which most intensely interested Professor
Monteith, after his return to London, that of aerial
navigation occupied first rank. It was at the retreat of
Aldebaran, one cold January afternoon, that he received the
following remarkable instruction from the lips of the mystic
scientist, who was then in the act of constructing an aerial
navigator which he declared would, in the course of from
three to five years, be quite ready for presentation to the
world. The method of constructing this wonderful machine was
explained in the following demonstration, which took place
under the eyes of the professor.
A small instrument, having three gyroscopes as a principal
part of its construction, was the object exhibited to the
professor as the instrument for demonstrating the facts of
aerial navigation. These gyroscopes were attached to a
heavy, inert mass of metal, weighing about one ton. The
other part of the apparatus consisted of tubes, enclosed in
as small a space as possible, being clustered in a circle.
These tubes, the mystic went on to explain, represented
certain chords, which were coincident to the streams of
force acting upon the planet, focalizing and defocalizing
upon its neutral centre. The action upon the molecular
structure of the mass lifted was based upon the fact that
each molecule in the mass possessed a north and south pole,
more strictly speaking, a positive and negative pole,
situated through the centre, formed by the three atoms which
compose it. No matter which way the mass of metal is turned,
the poles of the molecule point undeviatingly to the polar
centre of the earth, acting almost exactly as the dip-needle
when uninfluenced by extraneous conditions, electrical and
otherwise. The rotation of the discs of the gyroscopes
produces an action upon the molecules of the mass to be
lifted, reversing their poles, causing repulsion from the
earth in the same way as like poles of a magnet repel each
other.
This repulsion can be diminished and increased according as
the mechanical conditions are operated. By operating the
three discs, starting them at full speed, then touching two
of them, so as to bring them, according to the tone they
represented by their rotation, to a certain vibratory ratio,
the weight then slowly swaying from side to side left the
floor, rose several feet in the air, remaining in that
position, and as the discs gradually decreased their speed
of rotation the weight sank to the floor, settling down as
lightly as a thistle-down. Where one molecule can be lifted,
there need be no limit as to the number in a structure that
may be operated upon as easily as one. The vessel in
contemplation, the aerial navigator, will be over two
hundred feet long, over sixty feet in diameter, tapering at
both ends to a point, made of polished steel, and will be
capable of being driven under the power of depolar
repulsion, at the rate of three hundred miles an hour. It
can be far more easily controlled than any instrument now in
use for any phase of transit. Another very remarkable
feature connected with this strange revelation of aerial
navigation, is that the vessel is not buoyed up or floated
in the air through the medium of the air, so that if there
were no atmosphere it would float just as readily; hence,
under mechanical conditions most certainly capable of
production, involving massive strength of resistance to
interstellar vacuity this can be made capable of navigating
even the remote depth of space, positions between planets
where polarity changes being controlled by other adjuncts of
concentration for that purpose.
Safely enclosed within this structure, a man possessing the
chemical knowledge these new laws give, with sufficient
supply of material from which to make oxy
gen, by the enormously increased rate of speed attained by
such navigator where atmospheric friction is avoided, the
time occupied in travelling from one planet to an other
would be amazingly brief, and one can travel to other
planets in this system of worlds as easily as the same ship
could navigate the depths of the ocean.
The great obstacle hitherto preventing the solution of this
problem has been the strength of structure needed under
conditions above presented. With this knowledge of matter,
the size of structure is unimportant ; the heaviest can be
as easily controlled as the lightest.
The results following the advent of such wonders as are here
represented must closely approximate the long-foretold
millennium, or more properly golden age : the disarming of
nations, the ennoblement of man, the universality of the
realization of brotherhood, and the true elevation of
womankind; since man, possessing all that may be obtained,
need no longer fear the development of woman to perfect
equality with himself. In that time it shall be the search
for the divine ideal which must engage the faculties of all
to their utmost extent.
Addendum
11 MARCH 2017
http://www.keelynet.com/keely/puha1.txt
Vibrations
that Split Molecules Produce Energy
This paper is quite astounding in that it correlates with
Keelys' claim that water can be progressively dissociated at
620, 630 and 12,000 cycles per second. These are
on the molecular, atomic and etheric levels respectively.
It is interesting that the etheric level of
12,000 / 20 = 600 (Puharich's
frequency) found by original experimentation. This 600 cps
frequency is therefore a harmonic
of the 12,000 cps frequency which Puharich
discovered.
Keely also claims that the disruption of water occurs
at 42,800 cycles per second.
The direct quote from the book "Keely and His Discoveries"
by Bloomfield Moore, published in 1893 ;
"The orders of intensification for accelerating dissociation
would not be understood by any explanations that could be
made, if unaccompanied by the demonstrations
witnessed by the late Professor Leidy, Dr. Brinton, and
others.
"When the ether flows from a tube, its negative
centre represents molecular sub-division carrying
interstitially (or between its molecules) the lowest
order of liberated ozone.
"This is the first order of ozone and its wonderfully
refreshing and vitalizing to those who breathe it.
"The second order, or atomic separation, releases
a much higher grade of ozone; in fact, too pure for
inhalation, is the one that has been (though attended
withe much danger to the operator) utilized by Keely in his
carbon register to produce the circuit of high vibration
that breaks up the molecular magnetism which is
recognized as cohesion.
"The acceleration of these orders is governed by the
introductory impulse on a certain combination of vibrator
chords, arranged for this purpose in the instrument, with
which Keely dissociates the elements of water, and which he
calls a Liberator.
"In molecular dissociation one fork of 620 is used, setting
the chords on the first octave.
"In atomic separation two forks, one of 620 and one of 630
per second; setting the chords on the second octave.
"In the etheric three forks one of 620, one of 630, and one
of 12,000, setting the chords on the third octave.
As a matter of further clarification, Keely states that you
cannot DIRECTLY dissociate a single level of aggregation due
to the shell structure of matter.
In other words, if you wish to dissociate the Atomic level,
you must first dissociate the molecular to be able to get to
theatomic. That follows also if you wish to dissociate the
etheric, you must disrupt the molecular AND the atomic, THEN
the etheric.
Keely refers to this technique as progressive dissociation.
Excerpts
re: John Keely in W.J. Colville : "Dashed against
the rock, a romance of the coming age
https://archive.org/details/dashedagainsttherock00colviala
https://ia800306.us.archive.org/31/items/dashedagainsttherock00colviala/dashedagainsttherock00colviala.pdf
DASHED
AGAINST THE ROCK
A
Romance of the Coming
W. J.
COLVILLE
EDITOR OF " THE PROBLEM OP LIFE "; AUTHOR OF " SPIRITUAL
THERAPEUTICS," " STUDIES IN THEOSOPHY, ETC.
" Happy shall he be that taketh and dasheth thy little ones
against the rock" -- Psalm cxxxvii. 9 (Revised Version)
CHAPTER
IV.
THE MYSTIC AT HOME.
IN a charming suburban residence about ten miles from
Liverpool Street station, on a lovely June day, when the
fashionable London season of '93 was rapidly nearing its
close, Madame Discalcelis found herself in the presence of a
modest gentleman about thirty years of age, plainly attired
in the customary house-dress of men who attach more value to
comfort than to display. Speaking with clear, measured
accents on the subject which possessed his brain and
evidently lay nearest to his heart, his fine lustrous eyes
glowing with suppressed fervor, he uttered the following
noteworthy statements concerning the ultimate constitution
of matter and the action of the force regulating its
phenomena, statements which surely challenge the closest
attention of the whole scientific world.
" First. Matter is capable of infinite subdivision.
"Second. In the aggregation of matter, force or energy is
stored up or conserved.
" Third. In the dissociation of matter, force is liberated.
"Fourth. All matter is in a state of perpetual activity,
whether the substance under consideration be inanimate or
animated, visible or invisible.
"Fifth. There is no dividing of matter and force into two
distinct terms, as they both are ONE. FORCE is liberated
matter. Matter is force in bondage.
"Sixth. All motion is synchronous; no sound or movement can
be made but all that moves or sounds does so in harmony with
something.
"Seventh. All structures, whether crystalline or
homogeneous, have for their unit structures minute bodies
called molecules. It is the motion of these molecules with
which we have particularly to deal; as in experimental
research and demonstration, when we produce an action upon
one molecule we do so upon all the molecules constituting
the mass operated upon.
" Eighth. These molecules have an envelope, rotating with
inconceivable rapidity, formed of a high tenuous ether,
whose place in the order of subdivision ranks third, the
three divisions being, first, molecular; second, atomic;
third, atomolic (For convenience' sake we will use the term
atomolic in place of etheric in our subsequent definitions.)
"Ninth. This atomolic substance has a density approximately
986,000 times that of steel, enabling it to permeate steel
as light penetrates glass ; this rotating envelope of
atomolic substance is in a liquid condition. There are four
conditions of matter; viz. solid, liquid, gaseous, and
ultra-gaseous. These conditions result from greater or
lesser range of oscillation of the com posing units
individually: this is equally true, whether the units are
molecules, atoms, atomoles, planets, or suns. But one LAW
governs all matter.
"Tenth. This molecular envelope, rotating with such great
velocity, holds in its embrace the next subdivision of
matter, the atomic. There cannot ever be more or less than
three atoms in any molecule. These are placed so as to form
a triangle in the interior; they rest in a condition of
substance, or matter, we will term inter-molecular. In this
inter-molecular substance we find an enormous energy or
force in bondage, held thus by the rotating envelope
enclosing it. Were we to rotate a spun brass shell, sa}'
nine inches in diameter, at a very much less rate of speed
than that at which the molecular envelope rotates, say nine
hundred revolutions per second, its equator would first
bulge out, then form into an oval disc. A solid block of
wood subject to such revolution would swiftly fly to pieces.
The rotating envelope of a molecule, unlike these, the
greater its velocity of rotation, the greater is its
compression toward the centre of the molecule. The rotation
of this envelope is of such a nature as to produce an
internal pressure upon every portion from every point of the
molecule as a sphere. Were we to consider a rotating
envelope as ordinarily understood, it would be one in which
the envelope rotated around an equator having poles of no
rotation; i.e. the poles would not possess the compressing
force of the equator: the result would therefore be a
compressed equator, and the intermolecular substance would
pass out without resistance at the poles.
" Eleventh. If it be possible let us conceive of an envelope
with an equator, but destitute of poles, a number of these
rotating over the sphere, this atomolic envelope possessing
an almost infinite attractive force toward the centre of the
molecule, pressing in the inter-molecular substance, where
it is held until this revolving envelope becomes negatized
by a certain order of vibration, when the enclosed matter
rushes out to its natural condition of concordant tenuity,
as in the case of gunpowder, dynamite, and nitro-glycerine.
This force, we must see, has been held in the embrace of the
rotating envelopes of the unit-structures, or where does it
come from? This force at the time of an explosion was
liberated by shock or fire, both being orders of imparted
motion or vibration. How much greater the result would be
were we to associate a scientific instrument now completed,
and shortly to be given to the world, with such an agent as
nitro-glycerine ; one pound of nitro-glycerine would have
its destructive force augmented beyond all possible control.
These instruments are carefully concealed by wise masters
from all persons save the few who are already prepared to
study their potency with the exclusive end in view of aiding
the real scientific progress of humanity ; and, furthermore,
it may be truly stated that a ferocious sensualist, how ever
powerful his intellect, would be utterly unable to either
comprehend or operate one of these marvellous constructions.
"Twelfth. Next in order of consideration is the second
subdivision of matter the atomic. The atom has the same
rotating envelope as the molecule, governed by the same laws
of rotation and compression.
The rotating envelope holds in its embrace the inter-atomic
substance and three atomoles resting in it, the atomoles
within the atom being constructed after the same pattern as
the atom and the molecule, obedient to the same laws; the
atomolic being simply the third subdivision of matter. The
threefold order is absolutely universal.
"Thirteenth. The atomolic substance is what is termed the
ether which fills all space and is the transmitting medium
for all celestial and terrestrial forces. This is the liquid
ether of occult science.
" Fourteenth. The atomoles are made up of atomolini
(singular atomolinus); the subdivision of matter from this
point is beyond man's power, as at this point it escapes all
control of apparatus, passing through glass and hardened
steel as a luminous flame without heat, which is hardly seen
before it vanishes, a perpetual flame coldly luminous.
"Sixteenth. This again, from previous analysis, is made up
according to the triple order, and may again be subject to
subdivision, even to infinity."
"In my next interview with you," said Aldebaran to his
visitor, "I shall endeavor to show you the law governing the
triple aggregation of force and matter, which is, in brief,
as follows: first, CREATIVE SOURCE; second, TRANSMISSIVE
WAVE; third, EFFECT."
The mystical scientist then took a courteous leave of his
visitor, and after seeing her to her carriage, hurried to
the suburban station connecting with the under ground
railway to Aldsgate, where he had important business with a
distinguished mechanical engineer.
CHAPTER
V.
FURTHER REVELATIONS.
ON the occasion of the next meeting between the lady and the
scientist the latter gave utterance to the following
remarkable truth.
Each molecule has three envelopes. The most external one the
professor illustrated by an india-rubber ball on which he
had traced a number of meridian lines. On another ball were
represented the three envelopes. The outer hemisphere of one
of the envelopes is removed to show the under envelope, the
outer hemisphere of which is removed in still another part
of the diagram to show the inmost envelope. A third diagram
was then produced to show the position of the atoms which
the rotating envelopes enclose. A fourth diagram showed the
lines of interference of the rotating envelopes.
There being three perfect envelopes, these of necessity must
have six poles, to which add the neutral centre of the
sphere itself, comprising the origin of the septenary of
mysticism which is universal in nature. The fifth diagram
exhibited showed the subdivision of matter into atomic,
atoinolic, and atomolinic. A black disc representing a
sphere shows the negative atom; two white discs also
representing spheres illustrate the two positive atoms in
the triad, completing the tertiary aggregation forming the
molecule. Each atom is in turn composed of three atomoles ;
in the negative atom are three positive atomoles, positive
in the sense of activity; in the positive atom are also
three atomoles, two of which are negative, i.e. passive, and
one positive. The negative is always that which seeks the
neutral centre ; the positive represents the active radiat
ing energy: for instance, the sun is a medium for
transmitting radiant energy of positive order, which all the
planets receive negatively, i.e. it focalizes upon their
neutral centres. This order extends to infinity. The final
diagram presented was simply intended to further elucidate
the action of the rotating envelopes, illustrating the
compressing force of the rotating spheral and the protection
of the neutral poles. In the rotating envelopes force acts
in the opposite direction to its action in the revolution of
the earth, where the centrifugal action is greatest at the
equator; and the greater the speed of rotation, the greater
the centre-fleeing force.
In the case of the etheric envelope, however, the greater
the speed of rotation, the more powerful is the centripetal
(centre -seeking) force which compresses the atoms within ;
the pressure, therefore, is greatest at the equator and
gradually lessens toward the poles. If there were only one
envelope, the tendency would be for the atoms to be oblate,
to fly out at the poles, where the pressure is least. A
beautiful provision of nature obviates this, by providing
three envelopes, rotating one within the other, like three
shells ; the line of greatest internal pressure in each one
of which being protected by the equatorial lines, the line
of greatest pressure covering the line of least pressure on
the others. Each of the three atoms is placed directly under
one pole of each of the three envelopes.
If the rotating envelope of the molecule were in any way
checked in its motion, the enclosed matter would immediately
burst forth, producing the phenomenon of integration,
releasing from its previously pent-up condition a volume of
matter many times as great as that before disintegration
took place. Sound-force moving at certain rates of vibration
negatizes the action of the rotating envelopes, producing
conditions which result in their breaking up, followed by
the separation of the atoms contained in those envelopes,
and also of inter-molecular substance occupying space not
taken up by the atoms. By successive orders of vibration the
atoms, atomoles, and atomolini are disintegrated, and so on
to the luminous order, where all control ceases...
DIAGRAM
1.
External View of Atom.
See page 51.
DIAGRAM 2.
Showing Sections of the Three Envelopes.
See page 51.
DIAGRAM 3.
Showing Positions of Atoms in Inner Envelope.
See page 51.
DIAGRAM 4.
Showing Lines of Interference of Triple Envelope.
See page 51.
DIAGRAM 5.
Molecule showing Subdivision of Matter.
See page 51.
DIAGRAM 6.
See
page 52.

CHAPTER
VI.
THE BASIS OF A NEW SCIENCE.
THE following extraordinary statements are given in the
exact words of Aldebaran as he conversed with Madame
Discalcelis on the marvellous work in which she found him
ever tirelessly engaged, and she soon became a frequent
visitor to his sanctum : she was one of the very few persons
he always welcomed.
"The newly discovered forces, and laws governing all forces,
make possible the processes herein described. Scientific
investigations no longer consist in a blind groping after
facts; an untried chemical combination can now be planned
and its results predicted. Synthetical operations covering
the entire domain of organic chemistry can be worked
according to simple rules and methods deducible from these
newly discovered laws and by the aid of these, to us, new
forces. With a knowledge of these facts it is possible for
man to work a wondrous change in his methods of manipulating
matter.
"I shall be happy to present you with a table of definitions
which I have written out as briefly and succinctly as
possible ; and though I doubt not the definitions will be
well-nigh incomprehensible to the masses, you are at liberty
to make any use of them you please in your literary
endeavors to enlighten humanity."
DEFINITIONS.
ATOMOLES are elementary units of matter uniform in size and
weight, and exist in solid, liquid, gaseous, and isolated
forms.
ATOMS are multiple combinations of atomoles, and they also
exist in solid, liquid, gaseous, and isolated forms.
SIMPLE MOLECULES are formed by the union of two atoms of the
same kind.
COMPOUND MOLECULES are unions of two atoms of dissimilar
kind.
COMPLEX MOLECULES are unions of molecules with other
molecules or atoms.
PITCH is the relative frequency of vibration.
VIBRATION is the rhythmical motion of a body within itself.
OSCILLATION is a rhythmically recurring translatory
movement.
TRANSMISSIVE ENERGY is rhythmical motion of condensation and
rarefaction produced by the vibrating or oscillating body in
the medium in which it is immersed.
ATTRACTION is the mutual approach of aggregates caused by
con centrated waves of harmonic energy, tending to move in
line of least resistance, by becoming the centre of one
series of concentric waves instead of two or more series.
HARMONY is the simultaneous vibration of two or more bodies
whose harmonics do not produce discords, and whose
fundamental pitches are harmonics of the lowest pitch, or
are a unison with the resultant notes or overtones, or
undertones, of any two or more of them.
ETHER is an atomolic liquid 986,000 times the density of
steel.
ELECTRICITY is the oscillation of the atomoles of an atom.
INDUCTION is the transmissive force of the electric
vibration in ether.
MAGNETISM is the mutual attraction of juxtaposed bodies
vibrating at unison or harmonic electric pitches.
GRAVITY is the mutual attraction of atomoles.
GRAVISM is the transmissive form through a medium of
atomoles in the fourth state, or a medium composed of
atomolini.
ATOMOLINI are ultimate units of atomoles, and when in a
liquid state are the media for the transmission of gravism.
The illimitable divisibility and aggregation of matter is a
logical sequence.
1. Law of Matter and Force :
Coextensive and coeternal with space and duration, there
exists an infinite and unchangeable quantity of atomoles,
the base of all matter ; these are in a state of constant
vibratory motion, infinite in extent, unchangeable in
quantity, the initial of all forms of energy.
2. Law of Corporeal Vibrations :
All coherent aggregates when isolated from like bodies, or
when immersed or confined in media composed of matter in a
different state, vibrate at a given ascertain able pitch.
3. Law of Corporeal Oscillation :
All coherent aggregates not isolated from like bodies,
oscillate at a period-frequency varying with the tensions
that augment and diminish the state of equilibrium.
4. Law of Harmonic Vibrations :
All coherent aggregates are perpetually vibrating at a
period-frequency corresponding to some harmonic ratio of the
fundamental pitch of the vibrating body ; this pitch is a
multiple of the pitch of the atomole.
5. Law of Transmissive Vibraic Energy :
All oscillating and vibrating coherent aggregates create, in
the media in which they are immersed, outwardly propagated
concentric waves of alternate condensation and rarefaction,
having a period-frequency identical with the pitch of the
aggregate.
Scholium: All forms of transmissive energy can be focused,
reflected, refracted, diffracted, transformed, and
diminished in intensity inversely as the square of the
distance from the originating source.
6. Law of Sympathetic Oscillation :
Coherent aggregates immersed in a medium pulsating at their
natural pitch simultaneously oscillate with the same
frequency, whether the pitch of the medium be a unison, or
any harmonic of the fundamental pitch of the creative
aggregate.
7. Law of Attraction :
Juxtaposed coherent aggregates vibrating in unison, or
harmonic ratio, are mutually attracted.
8. Law of Repulsion :
Juxtaposed coherent aggregates vibrating in discord are
mutually repelled.
9. Law of Cycles :
Coherent aggregates harmonically united constitute centres
of vibration bearing relation to the fundamental pitch not
multiples of the harmonic pitch, and the production of
secondary unions between themselves generate pitches that
are discords, either in their unisons, or overtones with the
original pitch ; from harmony is generated discord, the
inevitable cause of perpetual transformation.
10. Law of Harmonic Pitch :
Any aggregate in a state of vibration develops in addition
to its fundamental pitch a series of vibration in
symmetrical sub-multiple portions of itself, bearing ratios
of one, two, three, or more times its fundamental pitch.
11. Law of Force :
Energy manifests itself in three forms : Creative, the
vibrating aggregate ; Transmissive, being the propagation of
isochronous waves through the media in which it is immersed;
Attractive, being its action upon other aggregates capable
of vibrating in unisons or harmony.
12. Law of Oscillating Atomic Substances :
Coherent atomic substances are capable of oscillating at a
pitch varying directly as the density, and inversely as the
linear dimensions from one period of frequency per unit of
time to the 21st octave above, producing the creative force
of Sonity, whose transmissive force (Sound) is propagated
through the media of solids, liquids, and gases, and whose
static effect (Sonism) produces attractions and repulsions
between sympathetically vibrating bodies according to the
Law of Harmonic Attraction and Repulsion.
13. Law of Sono-thermity :
Internal vibrations of atomic substances and atomic
molecules are capable of vibrating at a period-frequency
directly as their density, inversely as their linear
dimensions, directly as the coefficient of their tension
from the 21st to the 42d octaves, producing the creative
force (Sono-thermity), whose transmissive force (Sono-therm)
is propagated in solid, liquid, gaseous, and ultra-gaseous
media, statically producing adhesions and molecular unions,
or disintegration, according to the Law of Harmonic
Attraction and Repulsion.
14. Law of Oscillating Atoms :
All atoms when in a state of tension are capable of
oscillating at a pitch inversely as the cube of their atomic
weights, and directly as their tension from 42 to 63 octaves
per second, producing the creative force (Thermism), whose
transmissive force (Rad-energy) propagated in solid, liquid,
and gaseous ether, produces the static effects (Cohesion and
Chemism) on other atoms of association, or dissociation,
according to the Law of Harmonic Attraction and Repulsion.
Scholium : Dark radiant heat begins at absolute zero
temperature, and extends through light, chemical rays,
actinic rays, and infra-violet rays, up to the dissociation
of all molecules to the 63d octave.
15. Law of Vibrating Atornolic Substances :
Atoms are capable of vibrating within themselves at a pitch
inversely as the Dyne (the local coefficient of Gravity),
and as the atomic volume, directly as the atomic weight,
producing the creative force (Electricity), whose
transmissive force is propagated through atomolic solids,
liquids, and gases, producing induction and the static
effect of magnetism upon other atoms of attraction or
repulsion, according to the Law of Harmonic Attraction and
Repulsion.
Scholium : The phenomena of Dynamic Electricity through a
metallic conductor and of induction are identical. In a
metallic conductor, the transmission is from atom to atom,
through homologous interstices, filled with ether,
presenting small areas in close proximity. In crystalline
structures, heat, which expands the atoms, by twisting them
produces striae, increases the resistance, etc. Between
parallel wires and through air the induction takes place
from large areas through a rarefied medium composed of a
mixture of substances, whose atoms are separated by waves of
repulsion of various pitches, discordant to electric
vibrations ; the said atoms sympathetically absorb the
vibrations and dissipate from themselves, as centres,
concentric waves of electric energy which produces heat and
gravism.
16. Law of Oscillating Atomoles :
Atomoles oscillating at a uniform pitch (determined by their
uniform size and weight) produce the creative force
Atomolin, whose transmissive form, Gravism, is propagated
through more rarefied media, producing the static effect
upon all other atomoles, denominated Gravity.
17. Law of Transformation of Forces :
All forces are different forms of Universal Energy unlike in
their period-frequency, merging into each other by
imperceptible increments ; each form representing the
compass of 21 octaves. Each form or pitch may be transformed
into an equivalent quantity of another pitch above or below
it in the scale of 105 octaves. The transformation can occur
only , through its static effect, developing vibrations of
harmonic pitches above and below their fundamental
vibration, or developing with juxtaposed aggregates,
resultant and difference, or third order, as the case may
be.
Scholium : A table of the intervals and harmonics of the
normal harmonic scale will indicate the ratios in which the
transformation of forces will occur.
18. Law of Atomic Pitch :
Atoms have each a different and definite pitch, at which
they naturally vibrate.
Scholium : Atomic pitch is determined directly from its
simple spectrum.
Scholium : Atomic pitch is determined by computations from
its associate spectrum with all other atoms, as in known
spectra.
Scholium: Atomic pitches are more important working data
than atomic weights ; tables of atomic pitches must be
precise.
19. Law of Variation of Atomic Pitch by Rad-energy :
The higher harmonics and overtones of projected rad-energy
are of a pitch sufficiently high to cause the atom to
expand; by causing the atomoles to vibrate systematically
the same influence will cause the atom to contract, and thus
by changing the volume, atomic pitch is varied.
20. Law of Variation of Atomic Pitch by Electricity and
Magnetism :
Electricity and Magnetism produce internal vibrations in the
atom, which are followed by proportional changes in volume
and, therefore, pitch.
21. Law of Variation of Atomic Pitch by Temperature :
Atoms in chemical combination oscillate with increasing
amplitude directly as the temperature, and simultaneously
absorb overtones of higher harmonics, producing expansion of
volume and diminution of pitch.
Rule : The gradual approach of the temperature of harmonic
combination can be observed by mutually comparing
superimposed spectra; chemical combination commences when
the fundamental lines of each spectrum bear harmonic ratios
by linear measurement.
22. Law of Pitch of Atomic Oscillation :
Atoms not isolated and in a state of tension between forces
that oppose and increase the equilibrium oscillate bodily at
a pitch that is a resultant of the atomic weight, atomic
volume, and tension.
23. Law of Variation of Pitch of Atomic Oscillation by
Pressure :
The frequency of atomic oscillation increases and diminishes
inversely as the square of the pressure.
24. Law of Variation of Atomic Oscillation by Temperature :
The force of cohesion diminishes inversely as the square of
the distance the atoms are apart, and the force of the
chemical affinity diminishes in the same ratio. Heat
increases the amplitude of the oscillations in a direct
ratio to the temperature of the natural scale.
Scholium : New thermometers and accurate thermometric
tables, on the natural bases, wherein doubling the
temperature doubles the pitch of the transmissive energy,
are required. Such a table of temperature will bear natural
relations to atomic weights, pitches, specific heats,
chemical affinities, fusions, solubilities, etc., and will
disclose new laws. One table for each must be constructed.
25. Law of Variation of Atomic Oscillation by Electricity :
The electric current destroys cohesion and chemical tension
directly as square of current in amperes, inversely as the
resistance in ohms, inversely as the chemical equivalent,
and conversely as the coefficient of the difference between
the freezing and volatilizing temperature of mass acted
upon.
26. Law of Variation of Atomic Oscillation by Sono-thermism
:
Diminishes the tensions directly as the quantity of heat
developed, and in antithetical proportion to the harmonics
absolved.
27. Law of Chemical Affinity :
Atoms whose atomic pitches are in either unison, harmonic or
concordant ratios, unite to form molecules.
Corollary: When two atoms are indifferent, they may be made
to unite by varying the pitch of either, or both.
Scholium : This necessitates the construction of tables
representing variation of atomic pitches by temperature,
pressure, etc.
Scholium: Tables of all harmonics and concords, and
harmonics founded upon a normal harmonic scale, are equally
essential.
Scholium: Optical instruments may be made to measure pitches
of energy.
28. Law of Chemical Dissociation :
If the pitch of either atom, in a molecule, be raised or
lowered ; or, if they both be unequally raised or lowered in
pitch until the mutual ratio be that of a discord ; or, if
the oscillation amplitude be augmented by heat until the
atoms are with the concentric waves of attraction, the atoms
will separate.
29. Law of Chemical Transposition :
New molecules must be harmonics of the fundamental pitch.
30. Law of Chemical Substitution (too complex for brief
statement) .
31. Law of Catalysis:
The presence of harmonics and discords.
32. Law of Molecular Synthesis and Combination (Organic) :
The molecular pitch must be a derived harmony of the
radicals.
Scholium : Reconstruction of electric units to represent
pitches and amplitudes.
33. Law of Chemical Morphology :
The angle of crystallization is determined by the relation
between the molecular pitch of the crystallizing substance
to the vibration-density of the liquid depositing it.
34. Law of Atomic Dissociation:
Overtones of high rad-energy pitches produce separation of
the atomoles and recombinations among the atomolic molecules
of the atoms.
35. Law of Atomolic Synthesis of Chemical Elements :
Harmonic pitches of atomolity produce association of
etheric-atomolic particles to form atoms : the kind of atom
is determinable by the pitches employed.
36. Law of Heat :
Atoms under the tension of chemical combination oscillate
with an amplitude directly as the temperature, inversely as
the pressure, and as the square of the specific heat.
Diminishing the pitch of oscillation inversely as the square
of the distance of the atoms apart, and simultaneously
increasing the vibrating pitch of the atom by absorption of
overtones and higher harmonics.
37. Law of Electro-chemical Equivalents :
An atom vibrates sympathetically under the influence of
electric energy, such undertones of which are absorbed as
are a harmonic or harmony of the electric pitch ; the amount
of energy absorbed being directly as the arithmetical ratio
of the undertone of the fundamental electric pitch.
Scholium : A table of electro-chemical equivalents on the
normal basis will indicate the electrical conditions and
amount of chemical change.
38. Law of Cohesion :
The cohesion between atoms diminishes directly as the square
root of the pressure and temperature, and as the square of
electric intensity.
39. Law of Refractive Indices :
A table of the refractive indices of substances indicates
their molecular pitch ; and in connection with crystalline
form the phase of molecular oscillation.
40. Law of Electric Conductivity :
Electric energy is transmitted through homogeneous bodies
with a completeness in direct proportion as the atoms are
more or less perfect harmonics of the electric pitch, but
not at all through substances whose atoms are discordant to
the electric pitch ; also through molecular substances, when
their resultant notes are harmonics of the electric pitch,
the transmissions being inversely as the temperature,
directly as the density diminished in proportion to the
amount of crystallization, and inversely as the cube of the
dyne, also directly as the reciprocal of the local magnetic
intensity.
As we believe the above statements to be of priceless value
to the world, in proportion as they are comprehended, we
offer no apology to our readers for introducing so many
technicalities, but publish them in the expectant hope that
some struggling seeker after scientific verity may find in
them a key to the solution of many perplexing mysteries...
Mathematical
Demonstration of the Size of an Atom. Its Weight and
Volume.
A rectangular, or preferably, a circular, disc is suspended
from the ceiling of a room in such a manner that vibrations
cannot be communicated to it from the vibrating walls of the
room. It is then experimentally determined to what
fundamental note the metal plate sympathetically vibrates.
Then, according to the law of linear dimensions, which is
equally applicable to solids, liquids, or gases, it is
mathematically determined what size of plate will produce
successive octaves above that pitch, until a size of plate
is obtained capable of producing a period-frequency
corresponding to that of dark radiant heat, which we know is
produced by the oscillations of atoms, and is termed therma.
The vibrating atomic substance of the plate is capable of
producing the trarismissive force called sound and
sono-thermism, which is propagated through atomic media by
wave -motion, but which cannot be propagated through space
devoid of atomic substance. But when the plate has been
reduced theoretically to a size sufficiently in finitesimal
to correspond to the maximum or minimum
size of an atom, as determined by the atomic researches of
Professors Tait & Clerk Maxwell, we reach vibration
frequency so high that it can be propagated through a acuum
devoid of atomic substance, as a transmissive force called
rad-energy, beginning with dark radiant heat. And be it
carefully observed that period-frequency corresponds with
that of dark rad-energy. The law of linear dimensions may be
thus stated: The vibration-periods of two similarly
circumstanced homologous bodies are to each other as their
cubical contents, and therefore the vibration-frequencies of
homologous metal plates are to each other as the inverse
ratio of their linear dimensions. The octave of a given
plate will be a homologous plate having ^ of its volume. A
circular disc twenty inches in diameter and one inch thick
vibrates, e.g,, 1024 times per second. The ten octaves from
unity successively reducing the size of the disc by |, we
get at each reduction the octave of the previous pitch, and
at any given octave we have the volume, weight, and
vibration-frequency of the vibrating atomic substance.
Ten octave, 1024 vibrations per second; metal disc, twenty
inches in diameter, one inch thick. To get the cubical
contents of this vibrating aggregate it is necessary to
square the diameter; we multiply by 0.7854, which is equal
to 314.16 inches in volume. Starting from this point, we
progress through successive octaves upward, increasing in
pitch and diminishing in size.
THE
SCALE OF FORCES.
First octave (unity per second) is approximately the lowest
frequency capable of producing waves of rarefaction and
condensation in the air. The atomic aggregate oscillating at
this pitch can be experimentally deter mined, and the
aggregate vibrating at a pitch one octave higher will have a
mass lying between ^ and the cube root of the mass of the
first-mentioned aggregate ; the exact relation under varying
conditions of gravity, magnetic saturation, and pressure,
can be determined only by accurate measurements. But
assuming a body of a size represented by x, with a pitch
represented by 1024 per second, then a pitch of 2048 per
second will be produced by a body having a volume of some
mean between of x and the cube root of x. By accurately
determining the pitch of a volume of any metallic sphere
capable of oscillating at the pitch of, e.g., the eleventh
octave of sonity (1024 per second), under normal conditions
of gravity, pressure, magnetism, and then successively
diminishing its size by ^ of itself, we get the successive
octaves of pitches higher and higher in period-frequency
until we pass the domain of sonity and enter the domain of
sono-thermity . The point where the one form of energy
merges into the other lies approximately at the twenty-first
octave, and this pitch also marks the point where the air is
no longer capable of vibrating at that pitch in waves of
transverse form. This first gamut of 21| octaves consists of
three forms ; viz. sonity, sound, and sonism. The following
is a tabulation of the pitches of sonity in octaves from one
vibration per second to where the next form of energy
commences.
FRAUNHOFER
LINES.
The Fraunhofer lines represent the silences, or the places
of invisible pitches between the luminous pitches of
rad-energy. They cannot therefore be conveniently used as
data from which to measure the fundamental pitches of the
atoms undergoing examination. When a series of sound-pencils
are projected upon a screen, they undergo a combination of
overtones and under tones at the point of contact producing
tones of a pitch either too low to be recognized by the
human ear or too high to be called sound. The Fraunhofer
lines are not therefore simply silences, but may be the
higher invisible ultra-actinic rays. The fact is that some
of the Fraunhofer lines are capable of producing a variety
of chemical actions, when reflected and focalized.
Observation thus far shows that these lines do not bear any
definite ascertainable relation to the pitches producing
them, but that they do bear some uniform relation from which
the fundamental pitch could be determined cannot be doubted.
The relation of the Fraunhofer lines to the luminous spectra
are undoubtedly such as would enable one to compute the
creative pitches producing them ; but as yet no such
determinations have been made. The accurate method of
determining them is from the mutual relation of the harmonic
pitches of the luminous spectra.
A table representing the harmonic overtones and undertones
of simple vibrations, and the resultant harmonics of
associate vibrations, will be of great convenience in making
these determinations.
The natural unity of sonity lies above 1 per second, and
below 2 per second, and for this reason the numbering of the
octaves is accomplished by calling the end of the first
octave No. 1 instead of No. 2. At the end of the
twenty-first octave sono-thermity commences, and the bodies
oscillating at this pitch are either correspondingly smaller
by ^ than the preceding sonitic aggregates; or larger
aggregates undergo vibration in submultiple portions of
themselves. In either case the originating oscillation of a
sono-thermic pitch is that of an isolated or localized
aggregation. This first class of forces, or first double
gamut, is included within the range of about forty-three
octaves. The bodies of the first gamut oscillate with a
rhythmically recurring translatory pendulous motion and
produce waves of a transverse form, while the bodies of the
second gamut undergo internal nodal vibration and produce
waves of a longitudinal form. Beyond the upper limit of the
forty-third octave we reach bodies of a size (determined by
the same method as in sonity) which we know to be about the
size of an atom as approximately determined by various
physicists to lie between eleven and twelve micromillimeters
(hydrogen molecules), which gives the highest pitch of the
known atoms, and from which can be roughly jestimated the
pitch of the heavier atoms. Starting with the approximate
pitch of hydrogen as determined from its associate spectrum
with oxygen, and working back to the size of the largest
atoms, we again reach a pitch corresponding to the highest
sono-thermic vibrations. Starting with the known temperature
and pitch of a heated body, emitting definite rays of light,
and working back to absolute zero, We again reach the pitch
of the sono-thermic limit.
FIRST
CLASS.
SCALE
OF THE FORCES IN OCTAVES.
79 Sonity, Sound,
and Sonism.
No. of Octaves. Period-frequency.
Unity per Second.
1st. 2.
2d. 4.
3d. 8.
4th. 16.
5th. 32.
6th. 64.
7th. 128.
8th. 256.
9th. 512.
10th. 1024.
llth. 2048.
12th. 4096.
13th. 8192
14th. 16,384.
15th. 32,768.
16th. 65,536.
17th. 131,072.
18th. 262,144.
19th. 524,288.
20th. 1,048,576.
21st. 2,097,152.
Maj. 5th. 3,145,728.
Sono-thermity, Sono-therm, Sono-thermism.
22d. 4,194,304.
23d. 8,388,606.
24th. 16,777,216.
25th. 33,554,432.
26th. 67,108,864.
No of Octaves Period . frequenc
Unity per Second.
27th. 134,217,728.
28th. 268,435,456.
29th. 536,870,912.
30th. 1,073,741,824.
31st. 2,147,483,648.
32d. 4,294,967,296.
33d. 8,589,934,592.
34th. 17,179,869,184.
35th. 34,359,738,368.
36th. 68,719,476,736.
37th. 137,438,953,472.
38th. 274,877,906,944.
39th. 549,755,813,888.
40th. 1,099,511,627,776.
41st. 2,199,023,255,552.
42d. 4,398,046,511,104.
SECOND CLASS.
Thermism, Rad-energy, Chemism.
43d. 8,796,093,022,208. Dark heat begins.
44th. 17,592,186,044,416.
45th. 35,184,372,088,832.
46th. 70,368,744,177,664. Chemism begins.
47th. 140,737,488,355,328. Infra-red. [begins.
48th. 281,474,976,710,656. Major fourth (above). Light
49th. 562,949,953,421,312. Below Major fourth. Light
50th. 1,125,899,906,842,624. [ends.
51st. 2,251,799,813,685,248.
52d. 4,503,599,627,370,496. Limit actinic.
53d. 9,007,199,254,740,992.
54th. 10,814,398,509,481,984.
55th. 36,028,797,018,963,968. Chemism ends.
56th. 72,057,594,037,927,936.
No. of Octave*. Period-frequency.
Unity per Second.
57th. 144,115,188,075,855,872.
58th. 288,230,376,151,711,744.
59th. 576,460,752,303,423,488.
60th. 1,152,921,504,606,846,976.
61st. 2,305,843,009,213,693,952.
62d. 4,611,686,018,427,387,904.
63d. 9,223,372,036,854,775,808.
64th. 18,446,744,073,709,551,616.
Maj. 5th. 27,670,116,110,564,327,424. Limit of thermism.
Electricity, Induction, Magnetism.
65th. 36,893,488,147,419,103,232.
66th. 73,786,976,295,838,206,464.
67th. 147,573,952,591,676,413,928.
68th. 295,147,905,183,352,827,856. Copper-zinc couple.
69th. 590,295,810,366,705,655,712.
70th. 1,180,591,620,733,411,311,424.
71st. 2,361,183,241,466,822,622,848. 50,000 volts.
72d. 4,722,366,482,933,645,245,696.
73d. 9,444,732,965,867,290,491,392.
74th. 18,889,465,931,745,580,982,784.
75th. 37,778,931,863,469,161,965,568.
76th. 75,557,863,726,938,323,931,136.
77th. 151,115,727,453,875,647,862,772.
78th. 302,231,454,907,753,295,724,544.
79th. 604,462,909,815,506,591,449,088.
80th. 1,208,925,819,631,013,182,898,176.
81st. 2,417,851,639,762,026,365,796,352.
82d. 4,825,703,278,524,052,731,592,702.
83d. 9,671,406,557,048,105,463,185,408.
84th. 19,342,813,114,096,210,926,370,816.
85th. 38,685,626,228,192,421,852,741,632.
86th. 77,361,252,456,384,843,705,483,204.
The limit of electricity and the beginning of atomolity...

CHAPTER
X.
THE
GOSPEL OF VIBRATION...
AMPLITUDE
OF FORCE.
The amplitude of vibrations is directly increased or
diminished by increasing or diminishing the size or number
of creative aggregates...
Thus the human race is immersed in forces whose intensity is
vast in proportion to the number of EGOS adding each its
quota to the already intense vibration,
tending either to love or hate, kindness or cruelty,
timidity or bravery. Those who intensify the force of
cruelty in the place where they reside, maybe strengthening
a murderer's hand to strike the deadly blow in a distant
land. This result is brought about through the agency of
etheric waves, which transmit forces with undiminished
intensity even to uncalculated distances. This phenomenon
may be termed transympathetic.
They who feel that force called love, which on higher planes
is known as sympathy, thrill with waves of force which are
already strong, augmenting them or increasing their
intensity. They who indulge such sentiments and encourage
such forces may stop the falling hand on evil sped...
Every man contains, developed or embryonic, all conditions
of the Infinite ; therefore no height is too great to reach.
Impossibility is a meaningless word to the man who
apprehends the fathomless contents of his own nature. Thou
comest here, O man, with the instrument thou hast graduated
in thy many past exist ences ; how few of thy
chord-settings, if thou art numbered with the many, respond
to the higher harmonies ! Universal unity or fraternity has
been absorbed to almost embryonic conditions by the
prevalence of material self-regard. Charity has been
rendered almost latent, that beautiful chord-setting found
even in the lowest forms of creation LOVE, the dominant
chord of the cycles. Love has an amplitude of action in the
brute which may well make the selfish man ashamed, but until
the crust of selfishness is broken through, the beauty of
love is obscured, and though it exists all about him, the
poor blind egotist has no eye to discern it. The centres of
love, brotherhood, charity, voice their music loud and
clear, yet the masses will not listen. I do not mean the
immortal EGO when I say man will not listen ; I refer to the
personality which is the resultant of all the ages of action
in this, now rapidly closing, cycle...
CHAPTER
XXVI.
THE PROFESSOR IN HIS STUDY.
... [H]e was so very busy, working upon an air-ship of which
he had procured a perfect working model from Aldebaran, that
he had become almost as complete a recluse of science as
that exceedingly retiring worker, who scarcely ever allowed
himself an evening, much less a day, in which to pay tribute
to the social amenities, without which life would be such a
complete blank to the devotees of fashion, and not to them
only, but to many kindly natures whose gregarious instincts
are strong, and who have little interest in life outside
their fellowship with others...
Two or three clergymen who were present, and not ably Mrs.
Northafriker, an earnest missionary to foreign lands,
expressed an intense desire to witness the progress already
made by Professor Monteith; but as the work was not
sufficiently completed to admit of close inspection, without
disturbing the professor too greatly in the midst of his
laborious, but beloved, undertaking, he declared himself
obliged to content himself, and trusted they would be
contented, with seeing the model which as the pattern he was
faithfully determining to copy on a much larger scale.
Though his own work was as yet immature, he assured them
that others had made great progress, though he was only in
the infancy of his herculean task. 1
1 The model is accurately described, as far as it can be at
present, in a previous chapter of this book. See page 280.
"The propeller of this wonderful aerial navigator," said the
professor, "is now actually in existence in Philadelphia ;
for I have seen it there and I have, therefore, the
authority of an eye-witness for this statement, as well as
the word of many distinguished scientific investigators,
whose judgment and veracity are entirely beyond dispute. It
is a stupendous fact, of colossal magnitude, that the above
navigator has associated with it all the conditions
requisite for interstellar communication, it being
positively proven that this wonderful vessel can navigate
the air under all varying atmospheric conditions, from the
calmest to the most perturbed, and is capable of travelling
with amazing velocity, as well as at the lowest possible
rate of motion, and that with perfect safety to the vessel
and its inmates, making due allowance for atmospheric
friction." ...
CHAPTER
XXV.
WHAT OF AERIAL NAVIGATION?
AMONG the problems which most intensely interested Professor
Monteith, after his return to London, that of aerial
navigation occupied first rank. It was at the retreat of
Aldebaran, one cold January afternoon, that he received the
following remarkable instruction from the lips of the mystic
scientist, who was then in the act of constructing an aerial
navigator which he declared would, in the course of from
three to five years, be quite ready for presentation to the
world. The method of constructing this wonderful machine was
explained in the following demonstration, which took place
under the eyes of the professor.
A small instrument, having three gyroscopes as a principal
part of its construction, was the object exhibited to the
professor as the instrument for demonstrating the facts of
aerial navigation. These gyroscopes were attached to a
heavy, inert mass of metal, weighing about one ton. The
other part of the apparatus consisted of tubes, enclosed in
as small a space as possible, being clustered in a circle.
These tubes, the mystic went on to explain, represented
certain chords, which were coincident to the streams of
force acting upon the planet, focalizing and defocalizing
upon its neutral centre. The action upon the molecular
structure of the mass lifted was based upon the fact that
each molecule in the mass possessed a north and south pole,
more strictly speaking, a positive and negative pole,
situated through the centre, formed by the three atoms which
compose it. No matter which way the mass of metal is turned,
the poles of the molecule point undeviatingly to the polar
centre of the earth, acting almost exactly as the dip-needle
when uninfluenced by extraneous conditions, electrical and
otherwise. The rotation of the discs of the gyroscopes
produces an action upon the molecules of the mass to be
lifted, reversing their poles, causing repulsion from the
earth in the same way as like poles of a magnet repel each
other. This repulsion can be diminished and increased
according as the mechanical conditions are operated. By
operating the three discs, starting them at full speed, then
touching two of them, so as to bring them, according to the
tone they represented by their rotation, to a certain
vibratory ratio, the weight then slowly swaying from side to
side left the floor, rose several feet in the air, remaining
in that position, and as the discs gradually decreased their
speed of rotation the weight sank to the floor,
settling down as lightly as a thistle-down. Where one
molecule can be lifted, there need be no limit as to the
number in a structure that may be operated upon as easily as
one. The vessel in contemplation, the aerial navigator, will
be over two hundred feet long, over sixty feet in diameter,
tapering at both ends to a point, made of polished steel,
and will be capable of being driven under the power of
depolar repulsion, at the rate of three hundred miles an
hour. It can be far more easily controlled than any
instrument now in use for any phase of transit. Another very
remarkable feature connected with this strange revelation of
aerial navigation, is that the vessel is not buoyed up or
floated in the air through the medium of the air, so that if
there were no atmosphere it would float just as readily;
hence, under mechanical conditions most certainly capable of
production, involving massive strength of resistance to
interstellar vacuity this can be made capable of navigating
even the remote depth of space, positions between planets
where polarity changes being controlled by other adjuncts of
concentration for that purpose.
Safely enclosed within this structure, a man possess ing the
chemical knowledge these new laws give, with sufficient
supply of material from which to make oxygen, by the
enormously increased rate of speed attained by such
navigator where atmospheric friction is avoided, the time
occupied in travelling from one planet to an other would be
amazingly brief, and one can travel to other planets in this
system of worlds as easily as the same ship could navigate
the depths of the ocean.
The great obstacle hitherto preventing the solution of this
problem has been the strength of structure needed under
conditions above presented. With this knowledge of matter,
the size of structure is unimportant ; the heaviest can be
as easily controlled as the lightest.
The results following the advent of such wonders as are here
represented must closely approximate the long-foretold
millennium, or more properly golden age : the disarming of
nations, the ennoblement of man, the universality of the
realization of brotherhood, and the true elevation of
womankind; since man, possessing all that may be obtained,
need no longer fear the development of woman to perfect
equality with himself. In that time it shall be the search
for the divine ideal which must engage the faculties of all
to their utmost extent.