PreprintCC BY 4.0arXiv
Geometric interpretation of electromagnetic memory and large gauge transformation
Abstract
We develop a geometric characterization of electromagnetic memory in terms of the optical data of charged-particle congruences. We derive the worldline deviation of charged particles near null infinity for both massless and massive particles and construct the corresponding optical data. We show that the asymptotic shear of the charged-particle congruence provides an equivalent encoding of electromagnetic memory and its associated large gauge transformation. This establishes a geometric interpretation of electromagnetic memory and large gauge transformations in terms of the asymptotic evolution of charged-particle congruences.
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BibTeX
@misc{mao2026geometric,
title = {{Geometric interpretation of electromagnetic memory and large gauge transformation}},
author = {Pujian Mao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.09960},
eprint = {2610.09960},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.09960},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometric interpretation of electromagnetic memory and large gauge transformation
AU - Pujian Mao
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.09960
UR - https://arxiv.org/abs/2610.09960
AB - We develop a geometric characterization of electromagnetic memory in terms of the optical data of charged-particle congruences. We derive the worldline deviation of charged particles near null infinity for both massless and massive particles and construct the corresponding optical data. We show that the asymptotic shear of the charged-particle congruence provides an equivalent encoding of electromagnetic memory and its associated large gauge transformation. This establishes a geometric interpretation of electromagnetic memory and large gauge transformations in terms of the asymptotic evolution of charged-particle congruences.
ER -