>From my book Energy Cold Fusion and Antigravity.  The equations may not text.






THESPECTRAL INTENSITY
The spectral lines, emitted by glowing matter, varygreatly in intensity.  
Bohr’ssemi-classical atomic model could not account this variation in 
intensity.  Werner Heisenberg offered a solution thatarranged the properties of 
the atom on a matrix.  Planck’s empirical constant was insertedad-hoc, by 
Heisenberg, into the formulation as a commutative property of 
matrixmultiplication.  Heisenberg’s solutiongave the intensity of the spectral 
emissions and established the field ofquantum physics.  The formability didnot, 
however, reveal the underlying action. 
Louis deBroglie proposed that matter is a wave.  Erwin Schrödinger incorporated 
deBroglie’swave into his wave equation. Schrödinger’s result also produced the 
intensity of the spectralemissions.  The introduction, of thedeBroglie wave, 
produced a cleaner solution but, in the process, it introducedmany conceptual 
problems.  How do thediscrete properties of matter emerge from a continuous 
wave?  Schrödinger proposed that the superpositionof an infinite number of 
waves localized the matter wave.  Wave patterns repeat at intervals.   This 
solution suggested that the particlereappears at intervals in remote locations. 
It was said that a particle emerges, from the probability wave, upon 
theimmediate collapse of the deBroglie wave. This action progresses within a 
mathematical configuration space.  The interpretation did not provide 
amechanism to bind the electron to a state, disclose the whereabouts 
ofconfiguration space, or explain how the deBroglie wave collapses at 
asuperluminal speed.  Bohr’s principle ofquantum correspondence was invoked in 
an attempt to explain why the energy of aquantum wave is associated with 
frequency and the energy of a classical wave isassociated with amplitude.  
Schrödinger alsoinjected Planck’s empirical constant ad-hoc into his solution.  
Heisenberg and Schrödinger knew nothing ofthe path of the quantum transition.  
Theirsolutions did not directly incorporate the probability of transition.  
In 1916 Einstein published the famous paper “Emissionand Absorption of 
Radiation in Quantum Theory”. This paper stated that theprobability of 
transition could be increased through the action of an externalstimulation.  
This stimulative processwas applied, in a limited way, to the development of 
the LASER.  Znidarsic observed a stimulative process atwork within cold fusion 
cells.  Theaction of this stimulative process is universal.  The quantum 
transition progresses by the wayof its action.  The matter wave does 
notcollapse instantaneously.  It contracts atthe nuclear speed Sn.  The 
amplitude (displacement) of vibration, ofthe speed Sn squared, isproportionate 
to the probability of transition. The resulting vibration shakes the electron 
free of the grip of theparticle like discontinuity rpand stimulates theemission 
of a wave like photon.  Chemicallyassisted nuclear reactions are induced by an 
intense stimulation.  
In review, the energy levels of the atom areestablished as the electron 
attempts to take every path into the nucleus.  The only open paths are ones of 
matchingimpedance.  Paths of matching impedanceend at points of matching speed. 
 The radii of the hydrogen atom were produced as effectsof this speed match in 
(15).  These radiidescribe the structure of the stationary atomic states.  
Equation (15) was shown again below.
(15)
                              
The impedance matchedinterpretation of quantum physics was quantified through 
an equality in thenuclear and electronic speeds in (22).
(22)
Sn= 2p(light speed in a dielectric)
The bound electronresonates at its natural frequency fa.  The speed of (22) was 
re-factored in (23) asthe product of the atomic frequency fa and the atomic 
radius ra.  Harmonics of the atomic frequency n exist.  The speed Snis conveyed 
by vibrations within the stationary atomic state.
(23)
 
The action that is expressed in (23) was insertedinto the structure of (15).  
The solution(24) acts like a filter.  It extracts thevibration, at the 
frequency nfa,that can exist within the confines of the structure.  
(24)
 
The reduction of (24) produced (25).  The radius ra2 is the amplitude of 
harmonic motionsquared.  The probability of transitionis proportional to ra2.  
The intensity of a spectral emission variesdirectly with this probability.
(25)
 
The constants in equation (25) were regrouped in (26)and the numerator and 
denominator were multiplied by a factor of 4p.
(26)
 
The reduction of the factors within the brackets [ ] produced Planck’s 
constant.  Plank’s constant emerged as a dependentvariable.  The result (27) is 
thewell-known formulation for the amplitude of electronic harmonic motion 
squared.  The derivation of (27) constitutes a largepart of a first class in 
quantum mechanics. 
The frequency of a classical wave is coupled to thefrequency of the emitter.  
Equation (27)shows that the frequency of an emitted spectrum is coupled to the 
frequency of theatomic vibration fa.  The energy of a classical wave varies 
with thesquare of its amplitude.  Equation (27)shows that the intensity of an 
electromagnetic emission varies with the squareof the amplitude of the 
electronic vibration ra2.  Theresult (27) emerged classically as a condition of 
an impedance match.  No paradoxical quantum principles were required.
(27)
 
The strength of the expelled electromagnetic,nuclear spin orbit, and 
gravitomagnetic forces increases with the square of theamplitude of harmonic 
motion ra2.  The probability of transition varies directlywith the strength of 
the expelled fields.  Time is metered by the action of these probabilities. The 
intensity of the spectral emissions appearedas an effect of a classical 
impedance match.
 
 

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