Neutrino Interferometry In Curved Spacetime

and Daniel J. Mortlock; Carlo Giunti; Roland M. Crocker

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Neutrino Interferometry In Curved Spacetime

Roland M. Crocker, Carlo Giunti, and Daniel J. Mortlock

High Energy Physics - Phenomenology · Submitted 16 Aug 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We finally conclude, however, that -- given current neutrino detector technology -- the probability of such lensing occurring for a (neutrino-detectable) supernova is tiny in the immediate future.

how it is stated · asserted 0.92 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,009 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.95 · human participants 0.02 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.41 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Gravitational lensing introduces the possibility of multiple (macroscopic) paths from an astrophysical neutrino source to a detector. Such a multiplicity of paths can allow for quantum mechanical interference to take place that is qualitatively different to neutrino oscillations in flat space. After an illustrative example clarifying some under-appreciated subtleties of the phase calculation, we derive the form of the quantum mechanical phase for a neutrino mass eigenstate propagating non-radially through a Schwarzschild metric. We subsequently determine the form of the interference pattern seen at a detector. We show that the neutrino signal from a supernova could exhibit the interference effects we discuss were it lensed by an object in a suitable mass range. We finally conclude, however, that -- given current neutrino detector technology -- the probability of such lensing occurring for a (neutrino-detectable) supernova is tiny in the immediate future.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Gravitational lensing introduces the possibility of multiple (macroscopic) paths from an astrophysical neutrino source to a detector.	background 1.00	0.07	0.02	hedged possibility 0.87
s1	Such a multiplicity of paths can allow for quantum mechanical interference to take place that is qualitatively different to neutrino oscillations in flat space.	background 0.78	0.14	0.04	hedged possibility 0.96
s2	After an illustrative example clarifying some under-appreciated subtleties of the phase calculation, we derive the form of the quantum mechanical phase for a neutrino mass eigenstate propagating non-radially through a Schwarzschild metric.	method 0.51	0.94	0.03	asserted 0.99
s3	We subsequently determine the form of the interference pattern seen at a detector.	contribution 0.54	0.94	0.04	asserted 0.98
s4	We show that the neutrino signal from a supernova could exhibit the interference effects we discuss were it lensed by an object in a suitable mass range.	result 0.76	0.84	0.08	hedged possibility 0.87
s5	We finally conclude, however, that -- given current neutrino detector technology -- the probability of such lensing occurring for a (neutrino-detectable) supernova is tiny in the immediate future.	limitation 0.62	0.74	0.70	asserted 0.92

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Gravitational lensing introduces the possibility of multiple (macroscopic) paths from an astrophysical neutrino source to a detector. Such a multiplicity of paths can allow for quantum mechanical interference to take place that is qualitatively different to neutrino oscillations in flat space. After an illustrative example clarifying some under-appreciated subtleties of the phase calculation, we derive the form of the quantum mechanical phase for a neutrino mass eigenstate propagating non-radially through a Schwarzschild metric. We subsequently determine the form of the interference pattern seen at a detector. We show that the neutrino signal from a supernova could exhibit the interference effects we discuss were it lensed by an object in a suitable mass range. We finally conclude, however, that -- given current neutrino detector technology -- the probability of such lensing occurring for a (neutrino-detectable) supernova is tiny in the immediate future.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Gravitational lensing of neutrinos through the lens of decoherence
hep-ph 2026-09 accept novelty 8.0 of 10

Stochastic gravitational lensing by unresolved dark matter clumps induces an effective decoherence in astrophysical neutrino oscillations, quantified by a new damping parameter derived from the variance of lensing tim...
Quantum geometric signatures in neutrino dynamics around a holonomy black hole
gr-qc 2026-09 accept novelty 6.0 of 10

A holonomy-modified Schwarzschild metric alters neutrino deflection, oscillation phases, and annihilation power, producing testable predictions for solar-mass black hole lenses.
Quantum Correlations of Neutrinos in the Kerr-Newman Space-time
gr-qc 2026-05 unverdicted novelty 5.0 of 10

Neutrino quantum correlations in Kerr-Newman spacetime differ from Schwarzschild case, with black hole spin and charge modulating periods and amplitudes for radial and non-radial paths.
Gravitational lensing effects on neutrino oscillations around a Schwarzschild black hole immersed in perfect fluid dark matter
gr-qc 2026-10 conditional novelty 4.0 of 10

Gravitational lensing of neutrinos around a black hole immersed in perfect fluid dark matter creates interference patterns that depend on the dark matter parameter, neutrino mass scale, and mass ordering.
Effects of gravitational lensing on neutrino oscillation in Hu-Sawicki f(R) gravity
hep-ph 2025-06 conditional novelty 4.0 of 10

Neutrino oscillation probabilities from lensed paths in Hu-Sawicki f(R) gravity are derived, showing sensitivity to λ and to neutrino mass parameters.

How the literature uses it

7 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Cites it as background 3 papers

Gravitational lensing where different trajectories of neutrinos around a massive astrophysical body get focused on a point of detection and its effects on flavour oscillations are studied in the context of Schwarzschild geometry in [ref] .

Aspects of gravitational decoherence in neutrino lensing · Introduction · 0.91
The theory of neutrino flavor oscillations in a gravitational field has been further discussed in the Schwarzschild metric [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] , the Kerr metric [ref] [ref] , the Lense-Thirring metric [ref] , and the Hartle-Thorne metric [ref] .

Neutrino flavor oscillations in a curved space-time · Introduction · 0.99
This has led to several theoretical studies on neutrino oscillation in curved spacetime [ref] .

Gravitational lensing of neutrinos in the Rezzolla-Zhidenko spacetime · Introduction · 0.95

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