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  • Open Access

Notes on Rindler wave packets in Minkowski spacetime

Shono Shibuya1,* and Sotaro Sugishita2,3,†

  • *Contact author: shibuya.shono.n8@s.mail.nagoya-u.ac.jp
  • †Contact author: sotaro@gauge.scphys.kyoto-u.ac.jp
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Phys. Rev. D 112, 125007 – Published 3 December, 2025

DOI: https://doi.org/10.1103/dfzz-jnsh

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 redshift 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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Phys. Rev. D 112, 125007– Published 3 December, 2025
  • Received 29 September 2025
  • Accepted 19 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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