Quantum Gravity and String Theory

    

On Born Reciprocal Relativity Theory, the Relativistic Oscillator and the Fulling-Davies-Unruh Effect

Authors: Carlos Castro

A continuation of the Born Reciprocal Relativity Theory (BRRT) program in phase space shows that a natural temperature-dependence of mass occurs after recurring to the Fulling-Davies-Unruh effect. The temperature dependence of the mass $ m ( T ) $ resemblances the energy-scale dependence of mass and other physical parameters in the renormalization (group) program of QFT. It is found in a special case that the effective photon mass is no longer zero, which may have far reaching consequences in the resolution of the dark matter problem. The Fulling-Davies-Unruh effect in a $ D = 1 + 1$-dim spacetime is analyzed entirely from the perspective of BRRT, and we explain how it may be interpreted in terms of a linear superposition of an infinite number of states resulting from the action of the group $ U (1,1) $ on the Lorentz non-invariant vacuum $ | {tilde 0 } angle$ of the relativistic oscillator studied by Bars.

Comments: 17 Pages.

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Submission history

[v1] 2024-10-19 23:44:09
[v2] 2025-04-26 02:29:32
[v3] 2025-07-29 11:26:35

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