Relativity and Cosmology


The Displacement Theory of Relativity In Inertial Frames

Authors: Albert Zur Ph.D

A modified theory of Relativity, derived in a newly defined domain of displacement-space is presented. The displacement-space is a Fourier conjugate to a 4D position-space of Euclidian metric, as opposed to the Minkowski metric of spacetime. In displacement-space all particles are predicted to universally perform an equal amount of total displacement, generally composed of a longitudinal and a transverse component. This new form of Relativity provides inherent compatibility with Quantum theories, and unveils the origin of the constancy of light speed in inertial frames. This theory emerges from a general relativistic expression of energy-momentum│1│proposed to cover additional energy sources beyond particles, such as the cosmological dark-energy of "empty-space". Many predictions of Special-Relativity such as time dilation, energy-mass-momentum relation, and various 4-vector Lorentz invariants emerge as natural expressions of displacement-space, albeit from a completely different derivation principle. The spacetime 4-vector and associated length contraction, which are position-space expressions, are obviated. This is supported by the lack of definitive data published to date presenting direct evidence of length contraction. Representation of Relativity in the domain of displacement-space, as opposed to the 4 dimensional position-space domain of spacetime, yields natural non-commutation of conjugate observables such as position and momentum. Moreover, wave-functions and bound states, representing spatially localized probability distributions, remain invariant and simultaneous in all inertial frames. These new properties of Relativity provide improved consistency and integration with Quantum theories. The Displacement Theory can be tested by experimentally evaluating the actual existence of length contraction. This is the second article in a series describing The Displacement Theory.

Comments: 22 Pages.

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[v1] 2017-12-26 06:57:48

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