The links below are to the Sections of the paper on this subject.

Introduction - The first section contains a title page, a brief abstract and the main introduction.

Matter Waves - Using both Max Plank's quantum energy, and Louis de Broglie's quantum momentum hypotheses, the second section investigates the characteristics of de Broglie matter waves within Pseudo-Euclidean Space - Time, and shows these to be spatial - temporal in nature. Their characteristics - frequency, wavelength and velocity of propogation - are studied for (i) a stationary particle, (ii) a particle in motion at the speed of light, and (iii) the general case, a particle in motion at a finite velocity. This latter case results in a relativistic version of de Broglie's quantum momentun equation. Matter wave phase velocities are also analysed and shown to be an illusionary concept.

Spatial-Temporal Energy Distribution - The third section deals with the nature of matter energy within D₀ and, in concert with de Broglie matter waves, shows this to also possesses both spatial and temporal components. This is then used to provide a new simple derivation of Einstein's relativistic energy-momentum relationship, which is reviewed in some depth.

Conclusions - Concluding remarks.

References

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