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Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference
High Energy Physics - Phenomenology · Submitted 28 May 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus, neutrino oscillations present an ideal probe of this aspect of the foundations of quantum mechanics.
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The abstract, sentence by sentence
We argue that neutrino oscillations at JUNO offer a unique opportunity to study Sorkin's triple-path interference, which is predicted to be zero in canonical quantum mechanics by virtue of the Born rule. In particular, we compute the expected bounds on triple-path interference at JUNO and demonstrate that they are comparable to those already available from electromagnetic probes. Furthermore, the neutrino probe of the Born rule is much more direct due to an intrinsic independence from any boundary conditions, whereas such dependence on boundary conditions is always present in the case of electromagnetic probes. Thus, neutrino oscillations present an ideal probe of this aspect of the foundations of quantum mechanics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We argue that neutrino oscillations at JUNO offer a unique opportunity to study Sorkin's triple-path interference, which is predicted to be zero in canonical quantum mechanics by virtue of the Born rule. | contribution 0.85 | 0.22 | 0.53 | asserted 0.64 |
| s1 | In particular, we compute the expected bounds on triple-path interference at JUNO and demonstrate that they are comparable to those already available from electromagnetic probes. | result 0.76 | 0.91 | 0.15 | asserted 1.00 |
| s2 | Furthermore, the neutrino probe of the Born rule is much more direct due to an intrinsic independence from any boundary conditions, whereas such dependence on boundary conditions is always present in the case of electromagnetic probes. | interpretation 0.90 | 0.26 | 0.15 | asserted 1.00 |
| s3 | Thus, neutrino oscillations present an ideal probe of this aspect of the foundations of quantum mechanics. | interpretation 1.00 | 0.22 | 0.56 | asserted 1.00 |
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The paper
Original abstract
We argue that neutrino oscillations at JUNO offer a unique opportunity to study Sorkin's triple-path interference, which is predicted to be zero in canonical quantum mechanics by virtue of the Born rule. In particular, we compute the expected bounds on triple-path interference at JUNO and demonstrate that they are comparable to those already available from electromagnetic probes. Furthermore, the neutrino probe of the Born rule is much more direct due to an intrinsic independence from any boundary conditions, whereas such dependence on boundary conditions is always present in the case of electromagnetic probes. Thus, neutrino oscillations present an ideal probe of this aspect of the foundations of quantum mechanics.
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References
How the literature uses it
7 arXiv papers cite this in 14 sentences
Papers citing it · 13 sentences without a confident label
Cites it as background 1 paper
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However, other physics potentials at a JUNO-like experimental configuration include studies related to solar neutrinos [ref] , geoneutrinos [ref] , atmospheric neutrinos [ref] , supernova neutrinos [ref] , proton decay [ref] , neutron decay [ref] , MeV dark matter searches [ref] , neutrino non-standard interactions (NSI) [ref] , neutrino Lorentz and CPT violation [ref] , ultralight scalar dark matter [ref] , as well as other Beyond Standard Model (BSM) scenarios [ref] .
Ultralight dark matter search in a large liquid scintillator detector · Experimental configuration · 0.94
What it cites · 41 sentences without a confident label
Uses the method or tool of 5 papers
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and discusses the bounds that can be placed on $q$ by the JUNO experiment [ref] , that is, the expected $P_exp(ν_β→ν_α)$ at JUNO assuming canonical QM is simulated using GLoBES [ref] to which the right-hand side of Eq. [ref] is fit to calculate the expected bound on $q$.
New features in the simulation of neutrino oscillation experiments with GLoBES 3.0 · Huber, Minakata, and Pestes · 0.86
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and discusses the bounds that can be placed on $q$ by the JUNO experiment [ref] , that is, the expected $P_exp(ν_β→ν_α)$ at JUNO assuming canonical QM is simulated using GLoBES [ref] to which the right-hand side of Eq. [ref] is fit to calculate the expected bound on $q$.
Neutrino Physics with JUNO · Huber, Minakata, and Pestes · 0.86
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and discusses the bounds that can be placed on $q$ by the JUNO experiment [ref] , that is, the expected $P_exp(ν_β→ν_α)$ at JUNO assuming canonical QM is simulated using GLoBES [ref] to which the right-hand side of Eq. [ref] is fit to calculate the expected bound on $q$.
Simulation of long-baseline neutrino oscillation experiments with GLoBES · Huber, Minakata, and Pestes · 0.86
Uses data or values from 3 papers
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For the purpose of producing the simulated data $P_exp(ν_β→ν_α)$, we assume canonical QM with normal ordering to be the true mass ordering and the relevant oscillation parameters to be $Δm^2_21=7.54×10^-5 eV^2$, $Δm^2_31=2.43×10^-3 eV^2$, $θ_12=33.6^∘$, and $θ_13=8.9^∘$ [ref] .
2020 Global reassessment of the neutrino oscillation picture · Possible JUNO bound on $κ$ · 1.00
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Ref. [ref] reports $κ=0.0064±0.0119$ for a multi-slit experiment with a single photon source, while Ref. [ref] reports $κ=0.007±0.003$ based on a liquid state NMR experiment.
Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule · The Born Rule and Sorkin's Multi-Path Interference · 0.90
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Ref. [ref] reports $κ=0.0064±0.0119$ for a multi-slit experiment with a single photon source, while Ref. [ref] reports $κ=0.007±0.003$ based on a liquid state NMR experiment.
Ruling Out Multi-Order Interference in Quantum Mechanics · The Born Rule and Sorkin's Multi-Path Interference · 0.90
Compares with 2 papers
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The potential JUNO $1σ$ bound of $-0.017 < κ< 0.015$ is competitive with those available from electromagnetic probes [ref] .
Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule · Discussion · 0.97
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The potential JUNO $1σ$ bound of $-0.017 < κ< 0.015$ is competitive with those available from electromagnetic probes [ref] .
Ruling Out Multi-Order Interference in Quantum Mechanics · Discussion · 0.97
Cites as background 8 papers
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In the following, we first review Sorkin's definition of multi-path interference and the classification of theories based on their presence or absence [ref] .
Quantum Mechanics as Quantum Measure Theory · Introduction · 0.92
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A promising candidate theory that could potentially incorporate triple-path intereferences within its framework is Nambu QM [ref] .
Nambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum Mechanics · Discussion · 0.82
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We close this discussion by recalling that neutrinos can also probe the Leggett-Garg inequalities [ref] , spontaneous collapse models of quantum measurement [ref] , non-standard time-evolution of quantum states [ref] , and, if Mössbauer neutrinos can be realized, the time-energy uncertainty relation [ref] .
Are collapse models testable with quantum oscillating systems? The case of neutrinos, kaons, chiral molecules · Discussion · 0.92
Discussion
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