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PreprintCC BY 4.0arXiv

Where should we look for the deviation from quantum mechanics?

Abstract

We argue that the experimental measurement of the lifetime and decay law of metastable helium is a promising way to find a deviation from quantum mechanics. We analyze the decay of the metastable state for a quartic deformation of quantum mechanics. We find that the absolute change of the mean lifetime can be significant even if the modification is small. We show that, in the Wigner--Weisskopf approximation, the deviation from the exponential law in the modified theory can occur on time scales comparable with the lifetime.

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BibTeX
@misc{nicolas2026where,
  title = {{Where should we look for the deviation from quantum mechanics?}},
  author = {Jerome Nicolas and Albert Schwarz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24857},
  eprint = {2610.24857},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24857},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Where should we look for the deviation from quantum mechanics?
AU  - Jerome Nicolas
AU  - Albert Schwarz
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2610.24857
UR  - https://arxiv.org/abs/2610.24857
AB  - We argue that the experimental measurement of the lifetime and decay law of metastable helium is a promising way to find a deviation from quantum mechanics. We analyze the decay of the metastable state for a quartic deformation of quantum mechanics. We find that the absolute change of the mean lifetime can be significant even if the modification is small. We show that, in the Wigner--Weisskopf approximation, the deviation from the exponential law in the modified theory can occur on time scales comparable with the lifetime.
ER  -