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PreprintCC BY 4.0arXiv

No-signaling-in-time condition for three-flavor neutrino oscillations

Abstract

Macrorealism is a fundamental concept in quantum foundations, capturing basic features of our everyday experience. Among the main tools introduced to test violations of macrorealism are the Leggett-Garg inequalities. These inequalities provide necessary and sufficient conditions for a certain data set including the correlators measured in a number of different experimental runs (weak version of macrorealism). Leggett-Garg inequalities have proved useful for detecting violations of macrorealism in neutrino oscillation experiments. However, it is interesting to investigate a set of necessary and sufficient conditions for strong macrorealism - no-signaling-in-time and arrow-of-time conditions - in order to obtain a more complete characterization of macrorealism in the context of neutrino oscillations. In particular, here we extend previous study of the no-signaling-in-time condition to the case of three-flavor neutrino oscillations, including the CP-violating phase of the Pontecorvo-Maki-Nakagawa-Sakata matrix.

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BibTeX
@misc{blasone2026nosignalingintime,
  title = {{No-signaling-in-time condition for three-flavor neutrino oscillations}},
  author = {Massimo Blasone and Fabrizio Illuminati and Luciano Petruzziello and Kyrylo Simonov and Luca Smaldone},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00439},
  eprint = {2610.00439},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00439},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - No-signaling-in-time condition for three-flavor neutrino oscillations
AU  - Massimo Blasone
AU  - Fabrizio Illuminati
AU  - Luciano Petruzziello
AU  - Kyrylo Simonov
AU  - Luca Smaldone
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00439
UR  - https://arxiv.org/abs/2610.00439
AB  - Macrorealism is a fundamental concept in quantum foundations, capturing basic features of our everyday experience. Among the main tools introduced to test violations of macrorealism are the Leggett-Garg inequalities. These inequalities provide necessary and sufficient conditions for a certain data set including the correlators measured in a number of different experimental runs (weak version of macrorealism). Leggett-Garg inequalities have proved useful for detecting violations of macrorealism in neutrino oscillation experiments. However, it is interesting to investigate a set of necessary and sufficient conditions for strong macrorealism - no-signaling-in-time and arrow-of-time conditions - in order to obtain a more complete characterization of macrorealism in the context of neutrino oscillations. In particular, here we extend previous study of the no-signaling-in-time condition to the case of three-flavor neutrino oscillations, including the CP-violating phase of the Pontecorvo-Maki-Nakagawa-Sakata matrix.
ER  -