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Abstract: A derivation is presented of the quantummechanical wave equations based uponthe Equity Principle of Einstein-s General Relativity Theory. This is believedto be more generic than the common derivations based upon Einstein-s energyrelationship for moving particles. It is shown that Schrodinger-s Equation, ifproperly formulated, is relativisticly covariant. This makes the critisizedKlein-Gordon Equation for spinless massparticles obsolete. Therefore Dirac-sEquation is presented from a different viewpoint and it is shown that therelativistic covariance of Schrodinger-s Equation gives a natural explanationfor the dual energy outcome of Dirac-s derivation and for the nature ofantiparticles. The propagation of wave functions in an energy field is studiedin terms of propagation along geodesic lines in curved space-time, resulting inan equivalent formulation as with Feynman-s path integral. It is shown thatMaxwell-s wave equation fits in the developed framework as the massless limitof moving particles. Finally the physical appearance of electrons is discussedincluding a quantitative calculation of the jitter phenomenon of a free movingelectron.



Author: Engel Roza

Source: https://arxiv.org/







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