Relativity and Cosmology


Accelerated Frames of Reference Without the Clock Hypothesis: Fundamental Disagreements with Rindler

Authors: Francois Ritter

Based on an intuitive generalization of the Lorentz Transformations to non-inertial frames, this study presents new coordinates for a hyperbolically accelerated reference frame. These coordinates are equivalent to the Rindler coordinates exclusively at small times due to the loss of the clock hypothesis. This hypothesis is considered an excellent but fundamentally incorrect approximation for longitudinal motion. The proper acceleration of a hyperbolically accelerated particle is no longer constant and its proper time progressively slows down until becoming constant at the speed of light. This is in agreement with the timeless nature of photons. An event horizon beyond which any information cannot reach the particle is still present and is identical to the Rindler horizon. More importantly, a time dependent factor appears in the metric that could profoundly change our understanding of the space-time dynamic.

Comments: 21 Pages.

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Submission history

[v1] 2018-12-06 11:18:58

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