The Control of the Natural Forces
Frank Znidarsic Revised 2/2011
An understanding of the natural world has progressed in the direction of higher energies. The stationary quantum state
has emerged as a central theme within this quest. The stationary quantum states were used to explain the workings of
nature. The emergence of the macroscopic multi-body cold fusion phenomena has allowed an understanding of the
nature to progress in the direction of lower energies. This author’s qualification of this low energy regime has revealed
the transitional quantum state. The introduction of the transitional quantum state provided a causative explanation for the quantum condition.
This paper will produce the energy of the photon, the energy levels of the hydrogen atom, and
the probability of transition as effects of the transitional quantum state. An understanding of the path of the quantum transition
may lead to the development of many new technologies.
Joseph von Fraunhofer devised the first spectrometer, in the early 1800’s. He discovered, with his device,
spectral lines within the Sun’s light. He used these lines as reference points in the design of achromatic
Robert Bunsen and Gustav Kirchhoff, in the mid 1800, discovered spectral lines in the light that
emanated from the elements within the flame of their Bunsen burner.
Johann Balmer produced an
empirical equation that described this spectrum in the late 1800’s.
Johannes Rydberg extended Baumer’s
formulation to the spectra of all of the elements.
These discoveries allowed astronomers to determine the
elemental composition of stellar objects. These early scientists could not, however, provide a causative
explanation for the spectral emissions.
In the early 1900’s Max Planck offered an explanation for these spectral emissions. He introduced the idea
that thermal energy is bundled into tiny quantum units.
Albert Einstein used Planck’s constant and
showed that the energy of light is bundled into particle like photons.
The principle of quantum
correspondence emerged with the appearance of the photon. It states that the square of the amplitude of a
classical light wave directly corresponds, in some limiting way, to the frequency of a photon. Niels Bohr
applied Planck’s construct to the atomic structure of the atom. Bohr’s quantized atom explained the
emission spectrum of the atoms and the chemical properties of the elements.
According to classical electromagnetic theory of James Clerk Maxwell orbiting electrons should continuously emit
Atoms electrons emit packets of energy at random intervals. Bohr’s model could
not explain the stability of the stationary atomic states, produce the probability of transition, or explain why
the frequency of the emitted photon is not coupled to the frequency of a stationary quantum state. Lewis
deBroglie offered, what has now become, the contemporary solution to this problem. He proposed that the
electron has wave like properties.
The electron does not accelerate around the nucleus, but rather, it
encircles it in the form of a standing wave. A particle like photon is emitted as these standing waves
instantaneously collapse. The emitted photon exists as both a wave and a particle. These properties are
mutually exclusive and their simultaneous emergence is a paradox. In an attempt to reconcile some of
these difficulties Bohr introduced the principle of complementarily. It states that the frequency of a
quantum wave exists, in some mysterious way, as a complement to its particle of energy. This solution
attempted to describe the quantum condition and, in the process, introduced many intractable problems.
The deBrogle wave is a curious mathematical formulation that shrinks and swells with velocity. It has no
classical analog. No explanation was provided as to why the undulating deBroglie waves do not
continuously leak energy through a process of radiation. The problem of the stability of the atom was, in
effect, transferred from the stationary quantum state to the deBroblie wave. Max Born’s Copenhagen
interpretation attempted to get around these difficulties and stated that matter’s deBroglie wave is not real.
Born’s matter wave is a subjective construct of probability that exists only within a mathematical
configuration space. Albert Einstein rejected the subjective nature of this construct and believed, until his
death, that the theory of quantum mechanics was not complete.
In the late 20th Century Frank Znidarsic observed a velocity within some cold fusion and gravitomagnetic
experiments. He discovered that velocity is that of sound within the nucleus. He produced a classical
model of quantum reality that includes both the atomic spectra and this new observable. He discovered that
the quantum condition is the result of a classical impedance match that occurs when the velocity of light
within the electronic structure of the atom equals the velocity of sound within its nuclear structure.
Momentum is carried by the magnetic components of the force fields. Magnetism is not a conserved
property. This model suggests that the magnitude of the magnetic, gravitomagnetic, and nuclear spin orbit
forces converge during the quantum transition.
Thermal energy, nuclear transmutations, and a few high energy particles have reportedly been produced
during cold fusion experiments. The transmutation of heavy elements has also been reported.
The name Low Energy Nuclear Reactions is now used to describe the process. The process was renamed to
include the reported transmutation of heavy elements. According to contemporary theory heavy element
transmutations can only progress at energies in the millions of electron volts. The available energy at room
temperature is only a fraction of an electron volt. These experimental results do not fit within the confine
of the contemporary theoretical constructs. They have been widely criticized on this basis. These
experiments have produced very little, if no, radiation. The lack of high energy radiation is also a source of
contention. Nuclear reactions can proceed, smoothly through the coulombic potential barrier, under a
condition where the range of the nuclear spin orbit force is extended. The process of cold fusion may
require a radical restructuring of the range and strength of the magnetic component of the strong nuclear
force (the spin orbit force). The condition of the active nuclear environment provides some clues. Low
Energy Nuclear reactions proceed in a domain of 50 nanometers.
They have a positive thermal coefficient.
The product of the domain size and the thermal frequency is approximately one million
meters per second. Equation #1 is an empirical formulation that expresses this observation. It produces the
transitional velocity ( 1,094,000 m/s) as the product of the angular frequency and the size of the active
domain. The angular frequency is a fraction n of the electron’s Compton frequency. The displacement is a
multiple n of the electromagnetic radius of the proton. The result Vt is the speed of a longitudinal sound
wave, across atomic distances, within the dissolved deuterium.
The gravitational experiments of Eugene Podkletnov involved the 3 megahertz stimulation of a 1/3 of a
meter superconducting disk. These experiments reportedly produced a strong gravitational anomaly.
The results also do not appear to fit within the contemporary scientific construct. They have been
widely criticized. It is assumed that the generation of a strong local gravitational field violates the principle
of the conservation of energy. The strength of the electrical field can be modified with the use of a
dielectric. The existence of a gravitational “di-force-field” no more violates the principle of the
conservation of energy than does the existence of an electrical dielectric. The geometry of the
superconducting structure provides collaborating information. The product of the disk size and the
stimulation frequency expresses, as in the case with cold fusion, a velocity of one meter million meters per
second. This velocity Vt may be associated with optical phonons within the superconductive structure.
The process of gravity modification may require a radical increase in the strength of the magnetic
component of the gravitational field (the gravitomagnetic force).
The Velocity of Sound Within the Nucleus
The energy produced by two interacting charges is expressed by Coulomb’s Equation (2).
In order to analyze Vt this author regrouped the constants in Coulomb’s formulation, equation (2), into the
form [of] a spring, equation (3). The reformulation reveals a wavelike elastic constant and a particle like elastic
discontinuity. It expresses the energy of a force field that diminishes with the square of its displacement. It
suggests that the electrical force is produced as a particle like discontinuity rp disrupts the field of another electron. The force produced by the disruption is similar to the upward force produced by a bubble in
water. The displacement rp may be a classical effect that is associated with the compressive elastic limit of the electron ( http://www.wbabin.net/science/znidarsic2.pdf ). The classical radius of the electron 2rp is a multiple of this point.
The variable, classical elastic constant of the electron K-e emerged from this redistribution. It is expressed in equation (4). The elastic constant of the electric field resembles that of a gum band in that it decreases
with displacement. The electron’s wave like properties emerge as affects of its elastic constant K-e.
The elastic constant of the electron field equals the elastic constant of the strong nuclear force at points
where the expansive electromagnetic force balances the compressive strong nuclear force. Under this
condition the electrical elastic constant K-e may be employed to produce the harmonic motion of a nucleon. The electrical force is expelled from the nucleus, does not act between nucleons, and was factored into the
calculation. The frequency of a nuclear mechanical wave, at small displacements, was produced in
The elastic constant of the electron was inserted into equation (5) producing equation (6). Vt emerged as a product of the harmonic motion of the nucleons at a displacement equal to twice the Fermi spacing, rn, of the nucleons.
The Fermi spacing (momentum spacing) is a little longer than the radius of a proton as a result of the movement of adjacent nucleons.
The result Vt is the speed of sound within the nucleus. This speed is also exhibited across atomic distances within the active regions of cold fusion experiments (Ref. Equation #1). The quantum condition is established through the action of Vt.
The Energy of the Photon
Max Planck introduced the quantum and, with it, offered a solution to the problem of spectral emission. As
a conventional physicist Planck struggled to find a classical solution. Over one hundred years later the
emergence of new observables has enabled Frank Znidarsic to propose one. The quantization of energy
emerges as a classical affect of a condition where the velocity of light within the electronic structure of the atom equals the velocity of sound within its nuclear structure. The equalization of velocities aligns the
impedance of the interacting states. This impedance match allows energy to be exchanged, without
bounce, and the quantum transition to progress. The velocity of quantum transition was expressed as the
product of frequency and wavelength in equation (7).
The frequency of the emitted photon is not that of any stationary atomic state. It does, however, equal the
frequency of the transitional atomic state ft. The energy of a photon emerges as an effect of the interaction
of the transitional geometry Vt and an electrical charge. The simultaneous emergence of both the photon’s
frequency and energy is fundamental to Bohr’s principle of complementarity. In combination, these affects reconcile the duality of nature.
Capacitance is a function of geometry. A flat plate capacitor was used, in this analysis, to qualify the
geometry of the transitional photon. The capacitance C of a flat plate capacitor of area A and spacing d is
given in Equation (8).
The area swept out by a light wave was set equal to its wavelength squared and the distance d between the
wave’s amplitudes was also set to one wavelength. The capacitance experienced by such a cycle of light is
given in equation (9).
The photon has two degrees of freedom that are at right angles to each other. The geometry resembles that
of an open ended box. Equation (9) was multiplied by a factor of two and reduced resulting in equation
(10). Equation (10) expresses the geometry of the transitional photon in terms of its electrical capacitance.
The geometry of the transitional photon was expressed in terms of its capacitance C in order to include
other effective geometric configurations.
Equation (7) was solved for wavelength producing equation (11).
Equation #11 was inserted into equation (10) producing equation (12). Equation (12) expresses the
capacitance of the transitional photon in terms of its frequency. The introduction of equation (11) sets the
velocity of sound in the nucleus equal to the velocity of light within the electronic structure of the atom.
The energy of an electrical charge is was expressed in terms of its capacitance in equation (13).
The energy of light wave is a function its geometry. This energy was qualified through the simultaneous
solution of equations (12) and (13). The result (equation #14) describes the energy of a photon. Equations
(12) and (13) reveal that this energy varies inversely with capacitance. The voltage produced by an
electrical charge increases as its capacitance decreases. The energy of a photon is proportionate to the
amplitude of this voltage. The energy of a photon and a classical wave are both functions amplitude. The
relationship between the photon’s energy and frequency, that was described by Planck, is dependent upon
this voltage. The action of the amplitude of this voltage is fundamental to the principle of quantum
The terms within the brackets [ ] equal Planck’s constant. Planck's constant was substituted for the quantity
within the brackets. Einstein’s famous photoelectric relationship was produced.
The Energy Levels of the Hydrogen Atom
Maxwell’s theory predicts that accelerating electrons will continuously emit electromagnetic radiation.
Bound electrons experience a constant centripetal acceleration; however, they do not continuously emit
energy. Atom’s emit bursts of energy at random intervals. The transient nature of these emissions cannot
be accounted for by any existing classical theory. This author proposes that the stability of the atom is
established through the pinning action of discontinuity rp. Energy can break away from the grip of the
discontinuity by flowing through a channel of matching impedance. Points, of matching impedance, were
qualified by setting the velocity of sound in the nuclear environment equal to a harmonic of the angular
velocity of light around the discontinuity (ref. equation #16). The result is an expression of the electron’s
The frequencies of the transient electron were expressed as a harmonic multiples n of a fundamental
frequency. The transitional velocity was expressed, in equation (17), in terms of the product of these
frequencies and displacement rp. The characteristic impedance of the interacting systems is aligned at a
velocity described by these frequencies and harmonics
The variable elastic constant of the electron, as given in equation (4), was inserted equation (17) producing
Equation (18) was solved for rx resulting in equation (19).
The quantity within the brackets [ ] equals the ground state radius of the hydrogen atom. The reduction of
the terms within the brackets produced equation (20).
The result rx equals the principle radii of the hydrogen atom. The principle energy levels of the hydrogen
atom were produced as a condition in which the velocity of a mechanical wave within the nucleus equals
the velocity of an electromagnetic wave.
The model can be extended to all of the elements by allowing fractional values of frequency and applying a
factor of Z to the elastic constant (ref equation 19B). The model produces the energy levels of the muonic
atom when the reduced mass of the muon is placed into the equation. (ref Equation 19B)
The stationary energy levels of the atoms exist as points of electromagnetic and gravitomagnetic
discontinuity. The electron transits between these levels at points of electromagnetic and gravitomagnetic
The principle atomic states exist at points where the velocity of light within the electronic structure of the
atom equals the velocity of sound with its nuclear structure.
About Characteristic Impedance
The velocity Vt is inversely proportional to the inductance and capacitance of the system.
This author has also described the energy levels of the atoms in terms of an impedance match. Electrical
characteristic impedance Ω also a function of the capacitance and inductance of the system.
A change in the dielectric of a material equally effects the characteristic impedance and the velocity of
light. The electrical properties of materials tend to vary and the magnetic properties remain mostly
constant. The principle quantum number are affects of a change in the electrical constant. These states
exist as points of matching speed. The principle spectral lines split into several fine lines under the
influence of a magnetic field. Arnold Sommerfeld qualified these fine lines through the introduction of a
second quantum number.
Equations (21) and (22) diverge under a condition were the magnetic
permeability of the material is varied. States of matching impedance are no longer associated with states of
matching velocities. The fine structure of the atom emerges under this condition. The difference between
the length of the longer fine and the length of the shorter fine line divided by the length of the longer line
yields the fine structure constant. The origin of this constant has been a mystery. Richard Feynman stated,
“Physicists put this number up on their wall and worry about it.” This author has classically produced the
fine structure constant as the ratio of twice the transitional velocity to the velocity of light.
The Intensity of Spectral Emission
Bohr’s semi-classical atomic model could not account for the intensity of the spectral lines. Werner
Heisenberg arranged the properties of the electron on a matrix. Planck’s empirical constant was inserted
ad-hoc into the formulation as a commutative property of matrix multiplication. Heisenberg’s solution
produced the intensity of the spectral emission. The particle like solution established the field of quantum
physics, however, it did not provide visual image of the process. Lewis deBroglie proposed that matter is a
wave. Erwin Schrödinger incorporated deBroglie’s electron waves into a solution that also produced the
intensity of spectral emission. The introduction of the deBroglie wave produced a cleaner solution but, in
the process, it introduced a conceptual problem. How do the discrete properties of matter emerge from a
continuous wave? Schrödinger proposed that the superposition of an infinite number of waves localized
the wave function. Wave patterns repeat at intervals. The solution suggests that the particle appears at
intervals in remote locations. Matter’s particle nature did not spontaneously emerge from the analysis and
Planck’s empirical constant had to be, once again, injected ad-hoc into the solution.
A particle emerges, from the probability wave, upon the immediate collapse of the wavefunction. The
solution attempted to extract a particle out of a wave and to solve the problem of wave particle duality. The
interpretation did not provide for a mechanism to bind the electron to a state, disclose the whereabouts of
configuration space, or explain how a wavefunction collapses at superluminal velocities
The great scientists knew nothing of the path of the quantum transition. Their solutions did not
incorporate the probability of transition. Znidarsic claims to have discovered the path of the quantum
transition. His construct is centered upon the probability of transition. The amplitude (displacement) of
vibration at the dimensional frequency of Vt squared is proportionate to the probability of transition.
The transitional electronic state may be described in terms of its circumferential velocity. Equation (24)
describes the spin of the transitional quantum state.
As before, harmonics n of the angular frequency of the transitional electron were determined using the
electron’s elastic constant and mass (ref. equation #25).
Equation #25 was squared resulting in equation (26). Equation (26) expresses the angular velocity of the
transitional quantum state squared.
The transitional velocity given in (24) was factored into equation (26) producing equation (27). This factor
restricts the velocity of the system to that of sound within the nucleus.
The elastic constant of the electron was set, in equation (28), to the radius of the transitional electronic
The elastic constant of the electron (28) was placed into equation (27) resulting in equation (29).
Equation (29) was solved for the radius of the transitional quantum state (30).
The constants in equation (30) were regrouped and the numerator and denominator were multiplied by a
factor of 4π resulting in equation (31).
The factors within the [ ] equal Planck's constant. The reduction of the terms within the brackets produced,
Equation (32), the known formulation for the amplitude of electronic harmonic motion squared.
This formulation expresses the intensity of the light emitted by the harmonic motion of an electron. The
intensity of this emission is a function of the probability of transition. The probability of transition is
proportionate to the amplitude of the transitional quantum state squared. The solution requires no
probability waves, special configuration spaces, or paradoxical quantum principles.
A Convergence of the Motion Constants
It has been shown that the quantum condition arises through the action of an impedance match. This match
strongly couples electromagnetic and mechanical waves. This result suggests that the forces that mediate
the mechanical and electrical waves also converge. This author suggests that impedance matching property
of the transitional quantum state extends to the dynamic component of each of the natural forces. These
components are not a conserved and can be amplified under certain conditions. The dynamic magnetic
component of the natural forces interact strongly and at range during the quantum transition. This strong
interaction permits the quantum transition to proceed uniformity and without bounce. This author’s
theorem, “The constants of the motion tend toward the electromagnetic in a Bose condensate that is
stimulated at a dimensional frequency of 1.094 megahertz-meters” describes this strong [[gravitomagnetic
and electromagnetic interaction]]. The experimental results of cold fusion experiments also support the idea
that the natural force interact strongly. These reactions proceed without producing a commensurate amount
radiation. No radiation will be emitted after the range of the strong nuclear spin orbit force has extended to
that of the electromagnetic. The process of quantum transition also supports the idea of a convergence in
the motion constants occurs. This process changes the state of a particle. The frequency of an emitted
photon, for example, is not that of any stationary quantum state. The frequency of the emitted photon is an
effect of the action of the transitional quantum state. The reconfiguration of a state is facilitated through the
strong interaction of natural forces. The collapse of the wavefunction and the non-local nature of the
quantum realm also support the idea of a convergence in the motion constants occurs. The convergence of
the motion constants, within the transitional quantum state, increases the system’s negative gravitational
potential to the point where it equals its positive energy. The composite zero energy wavefunction is able
to immediately collapse. The flow of the mathematics within this paper also support the idea of a
convergence in the motion constants occurs. The radius rp rests at the point where the strength of a
proton’s electrical field equals the strength of its strong nuclear field. This equalization, in the strength of
the two fields, energetically couples electromagnetic force to the strong nuclear force. The radius rp is at a
point where the electrical force between two electrons (29.05 Newtons) is of the magnitude to induce the
gravitational field of the electron. This affect establishes the transitional atomic state as a point
electromagnetic, gravitomagnetic, and nuclear continuity.
The Classical deBroglie Wave
Equation (1) was solved for frequency in equation (33). The result is the Compton frequency of the
electron. The frequency and displacement are expressions of the spin of the system.
The electron undulates, at the Compton frequency, in simple harmonic motion. This motion is a function
of the elastic constant of the electron at a displacement equal to the ground state radius of the hydrogen
Current models offer no explanation as to why the undulating electronic waves do not continuously radiate
energy. This issue was brushed aside in the Copenhagen Interpretation of quantum physics. Classical
systems are constructed by fastening components together. Fasteners are mechanical discontinuities. The
same binding mechanism can attach a field. The electromagnetic field is, for example, pinned into the
structure of a superconductor by introduced defects (discontinuities). This author has suggested that mass
and kinetic energy are pinned into the structure of matter at elastic discontinuities. This energy is shaken
free of this discontinuity through the action of a vibration at the dimensional frequency of Vt. A particle
like elastic discontinuity rp appears in equations (3) and (17). The discontinuity acts as a pilot and
prevents the continuous emission of the wave. The use of a single binding mechanism, in both classical
and quantum systems, is a simplification. This simplification is in accordance with principle of Occam's
razor. The phase speed of disturbances within the pinned fields is luminal. The group speed V of the
packet is that of the discontinuity. The condition resembles that of a stiff imaginary bell. Sound within
such a bell would propagate at the phase speed c. The entire bell would swing at the group speed V.
DeBroglie suggested that the matter wave naturally emerges, from the superposition of the Compton wave
and its Doppler shifted refection, under this condition. Classical Doppler shift is given in equation (35).
The amplitude of a Compton wave, as given in equation (36), is the superposition of the wave and its
Doppler shifted reflection. The phases of the waves, at time zero, were set 90 degrees out of phase by the
addition of π. The amplitude of this wave at time zero is zero. This is the condition at the surface of
A maxima in the wave was produced by setting the phases, σ of the waves equal. This is the condition at
the center of the wave.
Replacing the Compton frequency with its contemporary value of the Compton frequency resulted in
The reduction of equation (39) yields equation (40).
This author’s interpretation states that the phase speed of the matter wave is luminal. This luminal
displacement ct was replaced, under this interpretation, with the wavelength of the deBroglie wave. The
result, equation (41), is the deBroglie wave of matter.
Schrödinger incorporated Planck’s constant and deBroglie’s waves within his wave equation.
Schrödinger’s wave equation is currently held to be an irreducible tenement of nature. It describes most of
physics and all of chemistry. This author has produced Planck’s constant and the deBroglie wave from a
fundamental classical argument. This emergence has provided a classical foundation for the Schrödinger
No special configurational spaces were required.
This line of reasoning was extended to produce a unification of quantum physics and Special Relativity
refer to ( http://www.wbabin.net/science/znidarsic.pdf ).
This analysis suggests that a macroscopic body may be forced into a state of quantum transition. Trillions of atoms may be adjoined within a single transitional state through a process involving the external vibration of a Bose condensate. Strong gravitational and long range nuclear forces may be induced. The use of these strong, long range forces could provide new sources of propulsion, allow for the reduction of nuclear waste, and lead to the development of new sources of energy.
The field of quantum physics was revolves around the stationary quantum state. New observables have emerged from experiments involving low energy nuclear reactions. This author, with the use of these observables, has developed results as a condition of the transitional quantum state. These results provide a causative classical explanation for the quantum condition and may lead to the development of revolutionary new technologies.
||1.236 x 1020 hertz, the Compton frequency of the electron
||29.05 Newtons, the electron’s force maximum
||29.05/rx Newtons/meter, the elastic constant of the electron
||9.109 x 10-31 kg, the mass of the electron
||1.67 x 10-27 kg, the mass of a nucleon
|| 1.409 x 10-15 meters, the radius of energetic accessibility
|| .529 x 10-10 meters, the radius of the hydrogen atom
|| 1.094 x 106 meters per second, the transitional velocity
||1.36 x 10-15 meters , the nuclear Fermi momentum spacing
- ↑ I. Bernard Cohen, Henry Crew, Joseph von Fraunhofer, De Witt Bristol Brac, The Wave theory, Light and Spectra. Ayer Publishing, 1981
- ↑ Robert Bunsen, Journal of the American Chemical Society, Volume 22, 1900
- ↑ L Hartmann, Johann Jakob Balmer, Physikalische Blätter 5 (1949), 11-14
- ↑ W. Ritz, Magnetische Atomfelder und Serienspektren, Annalen der Physik, Vierte Folge. Band 25, 1908, p. 660–696.
- ↑ Planck Max, On the Law of the Distribution of Energy in the Normal Spectrum, Annalon der Physik, Vol. 4, p 553, (1901).
- ↑ Einstein Albert, Development of our Conception of the Nature and Constitution of Radiation, Physikalische Zeitschrift 22, (1909)
- ↑ Bohr Niels, On the Constitution of Atoms and Molecules, Philosophical Magazine, Series 6, Vol. 26, pp 1-25 (1913)
- ↑ Maxwell James Clerk, A Dynamical Theory of the Electromagnetic Field, Philosophical Transactions of the Royal Society of London, Vol. 155, (1865)
- ↑ Lewis deBroglie, Recherches sur la théorie des quanta' (Researches on the quantum theory), Thesis, Paris, 1924
- ↑ Max Born, The Statistical Interpretation of Quantum Mechanics, Nobel Lectures, 1964
- ↑ A Einstein, B. Podolsky, and N. Roses, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete, Phys. Rev. 47, 777 - 780 (1935)
- ↑ Miley George H., Nuclear Transmutations in Thin-Film Nickel Coatings Undergoing Electrolysis, 2nd International Conference on Low Energy Nuclear Reactions, (1996).
- ↑ Mosier-Boss, Szpak S., Gorden F.E. and Forsley L.P.G., Use of CR-39 in Pd/D co-deposition Experiments, European Journal of Applied Physics, 40, 293-303, (2007)
- ↑ Storms Edmond, Cold Fusion, A Challenge to Modern Science, The Journal of Scientific Exploration, Vol 9, No. 4, pp 585-594, (1995)
- ↑ Rothwell Jed, Infinite Energy, Issue 29, p 23. (1999) "50 nano-meters ..is the magic domain that produces a detectable cold fusion reaction"
- ↑ Arata Y. and Fujita H., Zhang Y., Intense deuterium nuclear Fusion of Pycnodeuterium-Lumps Coagulated Locally within highly Deuterated Atomic Clusters, Proceedings of the Japan Academy, Vol. 78, Ser.B, No.7 (2002)
- ↑ Li Ning and Torr D.G., Gravitational effects on the Magnetic Attenuation of Superconductors, Physical Review B, Vol 46, #9, (1992)
- ↑ Reiss Harrald, Anomalies Observed During the Cool-Down of High Temperature Superconductors, Physics Essays, Vol. 16, No. 2 (June 2002).
- ↑ Tajmar M., deMathos C, Coupling of Gravitational and Electromagnetism in the Weak Field Approximation, http://arxiv.org/abs/gr-qc/0003011
- ↑ Podkletnov E. and Levi A.D., A Possibility of Gravitational Force Shielding by Bulk YBa2Cu307-x Superconductor, Physica C, vol 203, pp 441-444 (1992).
- ↑ Papaconstantopoulus D. A. and Klein B. M., Superconductivity in Palladium-Hydrogen Systems, Phys. Rev. Letters (July 14, 1975)
- ↑ M. Modarres, Momentum Distributions of Nuclear Matter, 1987 Europhys. Lett. 3 1083
- ↑ A. Sommerfeld, Principles of the Quantum Theory and the Bohr Atomic Model, Naturwissenschaften (1924), 12 1047-9
- ↑ Richard Feynman, The Strange Theory of Light and Matter, 1988
- ↑ The Lex Foundation, What is Quantum Mechanics, page 189, 1996
- ↑ 26.0 26.1 Znidarsic Frank, A Reconciliation of Quantum Physics and Special Relativity, The General Journal of Physics, Dec 2005, http://www.wbabin.net/science/znidarsic.pdf