Mankind has placed himself in a grave
situation. He has divorced himself from Nature with his
current attitudes towards Science and Religion. The study of Nature is
really a study of Science and Religion. Science is mans
effort to know about Nature. Religion is mans effort to
reconnect with that Nature. Hence through the arts of science
and religion Mankind is attempting to know what Nature is in its truest
sense and by way of this ever-expanding understanding to establish his
kinship with Nature. These two subjects are bound together as
a two sided unit. Science on the one side is ever expanding
understanding and Religion is the assimilation of himself into this
ever growing awareness of all that is around him. This
concept is of course the ideal situation. Mankind has rarely
attained this ideal state.
In actuality Mankind has separated himself from Nature with his ever
increasing materialistic views embodied in both Science and
Religion. His Science admits no connection between himself
and his experiments. Atheistic attitudes separates him from
Nature and natural processes. This is in error and has lead
ultimately to the abysmal situation we find on earth today.
Pollution is rampant and uncontrolled. Hunger, pain and
suffering, and a lack of the basic material necessities plagues people
in all countries. In fact, this century has been the
bloodiest time in all of Mankinds history with nearly 100 million
souls destroyed in all parts of the globe.
It would seem, at first glance, that with all the modernizations and
increases in human science and technology, that we are living in the
greatest age of history. But this is not so. To
those who have perished and those who now suffer this is a terrible
time in history. The question remains "why is this so?"
It is an easy thing to point ones finger at the "bad guys"
and lay blame at someone elses feet. It is easy to say one
political group is evil and ones own political group is
innocent. The truth of the matter is these problems were not
created by any one or several groups of politically oriented
peoples. These problems were created and perpetuated by
ignorance. This ignorance is a lack of awareness that all of
Mankind is a part of Nature. This materialistic ignorance
does not recognize that we are all part of a single natural scheme
closely bound together in our actions and circumstances. A
concept of Oneness, an idea that Mankind is a valuable part of Nature,
has long been held and preserved through the centuries most
conspicuously by the religious and metaphysical
organizations. Materialistic science has cut off these tried
and true ideas at the knees and left man bereft of his common
foundation. Materialistic science has left mankind with
nowhere to go except along the paths he has established in
this century. These paths have lead to more bloodshed, pain
and suffering than all previous paths he has ever choosen.
Free energy will not liberate Mankind from these evils.
Neither will faster and more powerful machines free him of these self
imposed burdens. Certainly more money, more people and more
bureaucracies will not help either. We already have cheaper
energy, more people, more bureaucracies and have spent vast amounts of
human effort towards the solution of these problems and the net result
has been an increase of the same problems. Mankind is on the
What is needed is a comprehensive awareness that binds Mankind together
within a wholistic knowledge that he is a part, an important part, in
the natural processes of Nature in which he finds himself.
What one man does has an effect on his neighbor and the natural
processes surrounding them both. This dual view of nature is
fundamental to science, religion and common sense. It is
called the Law of Cause and Effect by science and karma by certain
religions. This is an almost impossible law for most science
or most religions to accept because it implies responsibility to ones
self. It also implies that the perpetrator be
charitable. He must concede that his neighbor have as much
importance to him as himself. Another false premise of
materialistic science is that of insufficiency. The
establishment of monopolistic and totalitarian organizations is based
on this false idea of there not being enough energy or materialistic
substances to go around. With a broader paradigm that
concedes the Universal Forces of Nature are limitless mankind can then
be charitable. But to even concede this much many are
hesitant because it implies their knowledge and power structures are
based erroneously on false premises. These ideas of endless
abundance implies sharing and most refuse to share because they believe
in limited materialities as opposed to limitless
potentialities. -- Hence, the exercise of charity has not
been one of Mankinds greatest achievements.
My message to you today is that there is a paradigm of both Science and
Religion that encompasses the highest of virtues expressible by
Man. There is a field of science so powerful that it can
build a new and better future for Mankind. There is a
philosophy and science so all-encompassing that it can bring Mankind to
a realization of his Oneness with his neighbors and with all of
Nature. This paradigm has latent within itself, because of
its breadth and scope, more than enough material and spiritual benefits
for everyone because it recognizes and uses the very foundation
principles of Nature itself. Because of its recognition and
acceptance of its role in life it does not trample human rights or the
rights of Nature and assumes full responsibility for itself within its
own scope of possibilities. More than all this, it recognizes
the valuable parts of all sciences and religions and merges them into a
comprehensive and usable paradigm that has within itself seeds for
unlimited growth and expansion. This paradigm of science is
called Sympathetic Vibratory Physics.
What is Sympathetic Vibratory Physics? It is the science of
Harmony, of Oneness. It holds the concept that all comes from
One Source, One Force. It maintains that the fantastic array
of things and activities throughout the universe are related in a
simple manner. This simple basis of relativity is called
vibration. It has been long recognized that everything in the
universe vibrates. Thus, a study of vibrations is the study
of the very foundation of Nature. For once we grasp the inner
functioning of the vibratory Universal Creative Forces as they operate
throughout the universe, then, and only then, can we correlate them
into a comprehensive paradigm and bring them into practical modes of
usefulness for the benefit of mankind. Unlike dogmatic, cold
science, Sympathetic Vibratory Physics does not isolate one phenomena
from another but accepts and shows the inter-connectivity between all
things and forces. This interconnection between all things is
vibration and related vibratory phenomena. To understand
vibration we must develop a comprehensive organized science of
vibration governed by laws and principles. Fortunately a
great deal of this development work has already been done. We
have a well developed science of music. Music is an organized
art and science of vibrations found within the audible range of the
infinite Electromagnetic Scale. A major segment of
Sympathetic Vibratory Physics is therefore a study of music, its
arithmetical and philosophical basis of development and how these may
be applied to procedures for inventing new and useful devices and
The scientific implications of this science are no greater than the
social implications. In fact, one person suggested to Keely
that he cease his scientific work and proceed with the spiritualization
of civilization. This is to say that Sympathetic Vibratory
Physics is as important to mankinds spiritual and moral growth as it
is to his material benefit. It has been often said that this
science can not be fully mastered without first having mastered self -
a very metaphysical principle to be sure. The greatest
pursuit of any man is to know himself and his connection to all that is
around him. This self-knowledge then brings an awareness of
Oneness and defeats the ideas of separateness As a
consequence it brings an awareness of responsibility to the individual
himself and to those around him.
Should we dare to place in mans hands such fantastic instruments as
this science appears capable of delivering without the requisite moral
and spiritual understanding such that man might not misuse this
knowledge to his own detriment? Technology is a double edge
sword - its products can be used for mans benefit or his
destruction. How wonderful it is that this technology, which
promises so much in the form of new discoveries and controls over
natural forces, also contains within itself that which may guide man in
the correct usage of them. Stories abound of Keelys
accomplishments in this regard and point to a new method of engineering
and building machines - a method that binds the purposes of the mind of
man to mechanical function.
Rudolph Steiner said in 1913: "The "West people" of the
English-speaking countries, Great Britain and North America, will
develop the new mechanical faculty. They will be able to
create machines and mechanical devices which work with hardly any human
effort; which work with help of the "Laws of Sympathetic
Vibrations." These machines will do about 90% of the labor,
and all social and material trouble as we know it will cease to
exist." Steiner went on to say: "The famous
technology of our days will come to its end soon; because she
will in a certain way wind up herself. The following
phenomenon will then appear: Man will achieve the faculty to
employ the fine vibrations of his ethereal body to impulsate mechanical
devices. The individual will be able to transmit his own
vibrations onto the machine, and only he will be able to set the
machine in motion, by the vibrations generated by himself.
The men who are now practical technicians will soon discover that they
are standing before a complete change as to what one calls practical,
when man will be involved with his will in the objective feeling of the
In 1918 Steiner brought the matter up again from another
direction: "All searching in solid matter is
nonsensical. One will at a certain time abandon it -- and
mankind will do this before the year 4000 -- that searching in solid
matter as underlying nature. Mankind will discover something
totally different; he will discover rhythms everywhere in nature,
rhythmic arrangements. And when this knowledge about natures
rhythms is carried on, one will come to certain employments of these
rhythms in technology. That is the goal set for the future
technology of Sympathetic Vibrations, vibrations generated on a small
scale, and then continued on a large scale, so that by this simple
sympathizing, harmonizing, an incredible lot of work can be
As some of you know, this is
exactly what Keely did over 100 years ago.
John Ernst Worrell Keely worked incessantly for over 30 years to
dis-cover the simple laws governing naturally occurring or artificially
derived vibratory forces. The result of his work was the
rediscovery of 40 laws that govern all vibration and vibratory
phenomena. These laws have been and are being published in The Journal
of Sympathetic Vibratory Physics. Much work has gone into the
interpretation and application of these laws as they apply to modern
physics and technology. Modern science is using some of these
laws unbeknownst to itself. The laser, microwave, quantum
physics (chip design), musical and audio component manufacturers are
all using some of these laws in the design and construction of their
products. Because of the differences in paradigms however, it
will be many years before these laws become recognized for their true
worth. Modern science is based in the concepts of mass vs
energy begun by Newton and furthered by Einstein. Sympathetic
Vibratory Physics is based on the actions and interactions of polar and
depolar vibrations and the resultant sympathetic
associations. It appears that these actions are the causes of
mass and energy. It is believed that a study of causes
advances science to greater accomplishments with more surety and speed
than the study of the results or symptoms of these causes.
Sympathetic Vibratory Physics focuses on the inner nature of vibratory
phenomena. It is well known that vibratory activity contains
within itself many differing characteristics and phenomena.
These include: amplitude, velocity, mode, sympathy, number and
periodicity. Each of these characteristics can be regarded as
independent factors as they are generally considered in conventional
solutions. However in order to have validity within an
integral synapsis they must be considered as parts of a
whole. In a wholistic paradigm each of these characteristics
or components must be considered as being relative one to the
others. This viewpoint is generally referred to as the Law of
Relativity. No thing can be considered of and by itself as no
thing in the Universe is isolated from interactions upon or by
something else. The isolation of one phenomenon from all
others is sciences greatest mistake. Until this error in
thinking and practice is corrected we will continue to experience
deleterious effects of our scientific endeavors. Sympathetic
Vibratory Physics gives us a broad field in which all things can be
studied as relative parts of a comprehensive whole. Through
the study of music and music development we have this relativistic
paradigm. The fundamental principle of music is
relativity. A simple frequency is nothing of and by
itself. But relate that frequency to another and we instantly
have two separate entities locked together by a fixed interval between
them. This relationship is always expressed as a ratio or the
relative values rigidly fixed in a given relationship known as an
These actions are held to be in certain and specific relations one to
another. It is fundamental to grasp the significance of this
concept of relativity. In an analysis of a simple hair comb
which part, the teeth or the space between the teeth, is more
important? The teeth of the comb are the active parts - the
part that does the work but without the spaces between the teeth the
teeth would have no value whatsoever. Just so with
frequencies of vibration. The frequency of a vibration is the
active component within an environment but the importance of this
frequency can only be derived from its action and interaction with
other frequencies in that same environment. This interaction
with other frequencies is the embodiment of known natural laws of
forces: every force has or creates a reaction (Law of
Polarity or Opposites), two forces summed or differenced
result in a third force or reaction (Law of Three).
A study of synthesized wave forms best explains the relationship
between music and quantum physics as used by John Keely.
Among his legacy to us are a number of charts showing musical notations
arranged according to his paradigm. It has been discovered
that these musical notes are placed so as to be synthesized into more
complex wave forms. Modern engineering recognizes the value
of and uses harmonics of frequencies. This is a doubling or
halving of a given frequency as part of an analysis of vibratory
phenomena (Keelys Law of Harmonic Vibrations)3. Keely
teaches us that there are many more relationships in vibrations than
just the fundamental and its harmonics. There are also
Sixths, Thirds, Fourths and Sevenths as well as many others (Keelys
Law of Harmonic Pitch4). It is an established fact that
several frequencies synthesized together form a complex wave
form. If concordant frequencies are merged we have one kind
of vibratory force having specific characteristics. If
enharmonic frequencies are merged we have a different vibratory
character. These differences in character can be readily seen
or heard in the differences between a trumpets middle C and middle C
sounded on a piano. The fundamental is the same yet the
chordal tone produced is altogether different. The auditory
and physiological impact on the human organism is altogether different
also. It is this difference that can be understood and
applied to mechanical devices. The vibratory tones of a
string are more harmonious than the chord components of a brass
instrument. One can calm or bring quietude and the other can
bring discord or activity. Activated atomic particles can
thus be created and used as a power source in a device once this
association of frequencies is more fully understood. When
considering compositions of molecules it is assumed they all have the
same component parts, i.e., electrons, photons, etc. The
basic differences are the number of these particles making up the
aggregate and their individual orbit characteristics. Since
each one of these particles has a chord of composite frequencies it
must therefore be safe to assume that the apparent differences between
aggregates is the sum total or summed difference of their composite
Within these 40 Laws of Harmony are the defined relationships between
electricity, magnetism and gravity. Keely demonstrated this
relationship to be as thirds or 33 1/3, 66 2/3 and 100. This
relationship of forces he eventually applied to his inventions such
that they operated without any apparent energy input. By
establishing the proper relationships of these three forces his
equipment developed unheard of power and force. Since these
laws govern the very vibrations from which all material substances are
built up they also therefore govern all material things.
Through their use Keely was able to liberate incredible forces of the
atom in such a way that harmful and deleterious nuclear forces such as
radioactivity were not evident or experienced. All atomic and
nuclear forces are measured in terms of frequency and these frequencies
can be manipulated to either liberate forces or they can be modified to
absorb or form into new products - transmutation, in other
words. This process does not require hugh energies as are
found in common accelerator configurations or nuclear piles.
Nature is subtle and subtle means are required to awaken her
energies. This science demonstrates that all things are
related and that the resultant effects of a relationship are a
consequence of the characteristics of that relationship. Thus
no thing or function can exist in and by itself. There must
be an active force, a receptive force and a neutral zone or zones of
communication between these two forces.
Herein lies the hidden power of Sympathetic Vibratory Physics as
developed by John Keely. A concordant waveform, composed of
harmonic frequencies, tends to pull subatomic particles
together. On the other hand discordant waveforms will tend to
split or explode the particle or aggregate. A simple analogy
is that of dynamite, a harmonious substance when at rest, one which is
held together by the molecular and atomic component
frequencies. The introduction of a strong introductory
impulse from a dynamite cap destroys its homogeneous integrity and the
component subatomic particles are liberated from their bonds.
Keely explained the relationship between matter and force thusly:
"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."
This quote is a demonstration of an understanding of nuclear and atomic
forces well before our much heralded and over-thought-of "Nuclear
Age." In our age we have begun to decipher the true
relationships between matter and force. We have a long way to
There is far too much knowledge to cover in this short paper.
We have yet to cover Keelys work with: acoustic levitation, water and
mineral disintegration, cold steam, colors from sounds, telescope and
microscope developments and his incredible work with healing mental
illness with acoustical resonators. It would take years of
study and application to unravel the many mysteries of Keelys
scientific discoveries. So much of our current scientific
thought is based on false premises that it will be years before the
accepted paradigms are evolved sufficiently for a continuous and
unhindered growth. But even more difficult is the evolution
of Mans spiritual and philosophical ideas. If mans actions
during this century are any indication - it may be that Steiner and
Blavatsky were correct by saying it would be centuries before man could
assume his true birthrights.
In America there are many individuals and companies working in some way
with this new view of science. It will not be long before we
have practical functioning machines. New techniques and new
devices are constantly being developed that will allow even more work
to be done with less work or energy. It is now possible to
acquire quite easily components and processes that employ the
principles Keely demonstrated for us over 100 years ago.
These materials range from simple auditory devices to powerful and
expensive instruments for testing and measuring vibratory
phenomena. They are becoming quite plentiful which leads me
to assume it wont be long before many new and wondrous things are made
manifest in the affairs of man. These new devices and
processes wont reflect all that will be done eventually - but will
provide further foundations upon which we can build towards this new
technology now open to us. As part of my paper I am including
Keelys forty Laws of Harmony as he left them to us. Keely
left these laws to mankind in the hope that one day man may create a
better and more bountiful life for himself. The Journal of Sympathetic
Vibratory Physics has been publishing these laws and attempting to
decipher them that they might be applied in the work of others.
All of you in this room are in some way working to develop this and
other areas of science. It is sincerely hoped that as you
develop your particular field you will give thought to the imperative
development of the philosophical, moral and spiritual growth of
yourself and those around you. Failure to create the proper
individuals to handle these new forces you are about to release on
mankind may prove to be our own undoing.
Keely's Definitions of His Own Terms
for these definitions go HERE to the SVPwiki
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 concentrated
waves of harmonic energy, tending to move in line of least resistance,
by becoming the center 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
Keelys Forty Laws of Harmony
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." Keely, 1894
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 ascertainable pitch."
Law of Corporeal Oscillations
"All coherent aggregates not isolated
from like bodies, oscillate 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."
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."
Law of Transmissive Vibraic Energy
"All oscillating and vibrating coherent
aggregates create, in the media in which they are immersed, outwardly
propagating concentric waves of alternate condensation and rarefaction,
having a period-frequency identical with the pitch of the aggregate."
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."
Law of Attraction
"Juxtaposed coherent aggregates
vibrating in unison, or harmonic ratio, are mutually attracted."
Law of Repulsion
"Juxtaposed coherent aggregates
vibrating in discord are mutually repelled."
Law of Cycles
"Coherent aggregates harmonically united
constitute centers 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
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."
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."
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."
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 42nd 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
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 63rd octave."
Law of Vibrating Atomolic 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
Scholium: The phenomenon 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 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 centers, concentric waves of electric energy which
produces heat and gravism."
Law of Oscillating Atomoles
"Atomoles oscillating at a uniform pitch
(determined by their uniform size and weight) produce the creative
force Atomolity, whose transmissive form, Gravism, is propagated
through more rarefied media, producing the static effect upon all other
atomoles, denominated Gravity."
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 or 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."
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
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."
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."
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."
Law of Variation of Atomic Pitch by Temperature
"Atoms in chemical combination oscillate
with increasing amplitude directly as the temperature, and
simultaneously absord 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."
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."
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."
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 diret ratio to
the temperature of the natural scale.
Scholium: New thermometers and accurate thermometric tables,
on the natural base, 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
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."
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
absolved." Keely, 1894
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
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."
Law of Chemical Transposition
"New molecules must be harmonics of the
Law of Chemical Substitution
(too complex for brief statement)
Law of Catalysis
"The presence of harmonics and discords."
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."
Law of Chemical Morphology
"The angle of crystallization is
determined by the relation between the molecular pitch of the
crystalizing substance to the variation-density of the liquid
Law of Atomic Dissociation
"Overtones of high rad-energy pitches
produce separation of the atomoles and recombinations among the
atomolic molecules of the atoms."
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."
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."
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."
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."
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."
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