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Mach's principle in atomic transitions
Abstract
We investigate the atomic transition probabilities in atom-mirror set-ups that are in circular motion. In one scenario, the atom is in circular motion inside a static cylindrical mirror. In the other scenario, the cylindrical mirror rotates around its central axis while the atom remains static. We report structural similarity in the atomic transition probabilities between these two cases -- these probabilities are equivalent upon interchanging the field frequencies between the two scenarios. We interpret such an observation as a semi-classical phenomenon analogous to the classical Mach's principle.
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BibTeX
@misc{barman2026machs,
title = {{Mach's principle in atomic transitions}},
author = {Subhajit Barman and Bibhas Ranjan Majhi},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.11608},
eprint = {2606.11608},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.11608},
}
RIS
TY - UNPB
TI - Mach's principle in atomic transitions
AU - Subhajit Barman
AU - Bibhas Ranjan Majhi
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2606.11608
UR - https://arxiv.org/abs/2606.11608
AB - We investigate the atomic transition probabilities in atom-mirror set-ups that are in circular motion. In one scenario, the atom is in circular motion inside a static cylindrical mirror. In the other scenario, the cylindrical mirror rotates around its central axis while the atom remains static. We report structural similarity in the atomic transition probabilities between these two cases -- these probabilities are equivalent upon interchanging the field frequencies between the two scenarios. We interpret such an observation as a semi-classical phenomenon analogous to the classical Mach's principle.
ER -