Abstract
Momentum and Kinetic Energy equations are developed from the hypothesis that oppositely directed components of harmonically oscillating pseudo standing waves pass through a quantum particle center and can be represented by Longitudinal Matter Waves that carry the particle’s momentum and energy. The Doppler effect on the component wave lengths allows the net forward momentum and kinetic energy to increase with speed well beyond classical values. De Broglie (1925) issues with stationary wavelength and moving pulse rate are resolved in a different manner. 
 
 Because a quantum particle is considered to be nothing more than the sum of “in” and “out” matter waves focused through its center, whatever happens to these matter waves determines the future location of that center. This opens the door to physical explanations for gravity, interference, and the slowdown of light in transparent mediums. Gravity, for example, is shown in section 6, to possibly be caused by the local gradient in matter wave speed near a large body like earth.
Highlights
Because a quantum particle is considered to be nothing more than the sum of “in” and “out” matter waves focused through its center, whatever happens to these matter waves determines the future location of that center
Our goal is to develop a quantum particle model which is consistent with experimental results for momentum and energy vs speed but; 1) does not require an infinite stationary wavelength
The longitudinal matter wave momentum carried by a single plane wave in a tiny tube in the direction of wave propagation, where the wave front is perpendicular to that direction and the direction is measured in the local preferred reference frame, is given by the following integral;dx where “a” is the area of the tube perpendicular to the wave direction
Summary
Our goal is to develop a quantum particle model which is consistent with experimental results for momentum and energy vs speed but; 1) does not require an infinite stationary wavelength. It is reasonable to assume that the sum of all outgoing and incoming wave carried momentum should be zero, relative to the particle, whether that particle is stationary or in uniform motion It will be shown, mathematically, that when we sum (i.e. integrate) all of the outgoing and incoming momentum, relative to a local preferred reference frame, we are able to predict a Total Internal Momentum, and a Net Forward Momentum. By specifying a local preferred reference frame we have selected the Lorentz-Poincare’ viewpoint on the Special Relativity equations In this viewpoint, if moving objects have a physical Lorentz contraction and there is a physical Lorentz change in the pulse rate of moving atomic clocks, if two separated clocks are synchronized by a light signal whose speed is assumed (incorrectly) to be c, the clocks will be desynchronized by the exact amount required to make all future one-way light speeds (in either direction) appear to be c. Positive results from an experiment proposed by Wagner (2015, June) would support the Lorentz-Poincare’ viewpoint on simultaneity
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