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arXiv · 2610.00439

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

Massimo Blasone·Fabrizio Illuminati·Luciano Petruzziello·Kyrylo Simonov·Luca Smaldone
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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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Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, Kyrylo Simonov, Luca Smaldone. 2026-09-30. No-signaling-in-time condition for three-flavor neutrino oscillations. https://doi.org/10.3390/e28101086

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