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.