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Gravitational Effects on Quantum Coherence in Neutrino Oscillation
Quantum Physics · Submitted 26 Apr 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using the weak field approximations, we show that the gravitational effects decrease the maximum value of $K_{3}$ for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, ${\cal C}(\rho)$ unchanged.
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The abstract, sentence by sentence
In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. In fact, this issue is explored both qualitatively via calculating the parameter $K_{3}$ in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the $l_{1}$-norm, ${\cal C}(\rho)$. Using the weak field approximations, we show that the gravitational effects decrease the maximum value of $K_{3}$ for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, ${\cal C}(\rho)$ unchanged.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. | contribution 0.99 | 0.78 | 0.03 | asserted 0.60 |
| s1 | In fact, this issue is explored both qualitatively via calculating the parameter $K_{3}$ in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the $l_{1}$-norm, ${\cal C}(\rho)$. | method 0.96 | 0.85 | 0.05 | asserted 0.99 |
| s2 | Using the weak field approximations, we show that the gravitational effects decrease the maximum value of $K_{3}$ for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, ${\cal C}(\rho)$ unchanged. | result 1.00 | 0.95 | 0.87 | asserted 1.00 |
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Original abstract
In this paper, we investigate the quantum coherence for two flavor neutrinos propagating in a Schwarzschild metric. In fact, this issue is explored both qualitatively via calculating the parameter $K_{3}$ in Leggett-Garg inequality (LGI) and also quantitatively by evaluating the $l_{1}$-norm, ${\cal C}(\rho)$. Using the weak field approximations, we show that the gravitational effects decrease the maximum value of $K_{3}$ for some intervals of energy such a way that there is no violation, while it leaves the maximum amount of the quantum coherence, ${\cal C}(\rho)$ unchanged.
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