Interpreting quantum coherence of neutrinos in asymptotically flat spacetimes via effective distances: Solution to the paradoxes of the Leggett-Garg inequality and quantum information quantities
Abstract
In this work, we propose a notion called effective distance to characterize the essential gravitational effects on quantum coherence of neutrinos. Employing effective distances, we prove that one can always map neutrino-oscillation phases in asymptotically flat spacetimes onto the phases in flat spacetime, which is considered as a nontrivial realization of equivalence principle. Hence, the maximal amount of quantum coherence, quantified by the Leggett-Garg (LG) parameter is independent from background spacetimes, namely, the paradox that the gravitational effects on quantum coherence of neutrinos are measure-dependent (Ettefaghi et al.[1]) does not arise. Following the same route, we preclude the gravitational amplifying or damping of amplitudes of the quantum information quantities for special masses of black holes (Wang et al. [2]). To demonstrate furthermore the independence of quantum coherence from background spacetimes, we examine the proposal using the LG parameter to identify quantum-corrected models of spacetimes. For different emission positions of neutrinos and various quantum parameters, we find no consistent patterns in oscillating LG curves to discriminate a quantum metric from the classical one.
Related
- Hadamard states for linearized gravity on asymptotically flat spacetimes
- Initial Data Gluing for Asymptotically Hyperbolic Spacetimes
- Classical and quantum scattering of massive Klein--Gordon fields in asymptotically flat spacetimes
- Quantum Gravity in Asymptotically Flat Spacetimes from Unstable D-Branes
- Alternative Boundary Conditions in Asymptotically Anti-de Sitter Spacetimes
BibTeX
@misc{wu2026interpreting,
title = {{Interpreting quantum coherence of neutrinos in asymptotically flat spacetimes via effective distances: Solution to the paradoxes of the Leggett-Garg inequality and quantum information quantities}},
author = {Shan Wu and Shu-Jun Rong},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19198},
eprint = {2609.19198},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19198},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Interpreting quantum coherence of neutrinos in asymptotically flat spacetimes via effective distances: Solution to the paradoxes of the Leggett-Garg inequality and quantum information quantities
AU - Shan Wu
AU - Shu-Jun Rong
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.19198
UR - https://arxiv.org/abs/2609.19198
AB - In this work, we propose a notion called effective distance to characterize the essential gravitational effects on quantum coherence of neutrinos. Employing effective distances, we prove that one can always map neutrino-oscillation phases in asymptotically flat spacetimes onto the phases in flat spacetime, which is considered as a nontrivial realization of equivalence principle. Hence, the maximal amount of quantum coherence, quantified by the Leggett-Garg (LG) parameter is independent from background spacetimes, namely, the paradox that the gravitational effects on quantum coherence of neutrinos are measure-dependent (Ettefaghi et al.[1]) does not arise. Following the same route, we preclude the gravitational amplifying or damping of amplitudes of the quantum information quantities for special masses of black holes (Wang et al. [2]). To demonstrate furthermore the independence of quantum coherence from background spacetimes, we examine the proposal using the LG parameter to identify quantum-corrected models of spacetimes. For different emission positions of neutrinos and various quantum parameters, we find no consistent patterns in oscillating LG curves to discriminate a quantum metric from the classical one.
ER -