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arXiv · 2505.20078

Notes on Rindler wave packets in Minkowski spacetime

Shono Shibuya·Sotaro Sugishita
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Abstract

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum mechanically. We derive, by using the saddle point approximation, an analytic expression for the Minkowski momentum distribution of such Rindler wave packets. We find a universal lower bound on the uncertainty in the Minkowski momentum; the momentum distribution can never become arbitrarily sharp.

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Shono Shibuya, Sotaro Sugishita. 2025-05-26. Notes on Rindler wave packets in Minkowski spacetime. https://arxiv.org/abs/2505.20078

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