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arxiv: 2606.06629 · v1 · pith:LLX7DL4Lnew · submitted 2026-06-04 · ✦ hep-ph

Neutrino Oscillations as an Open Quantum System in Strong Gravitational Fields: Spin-Connection Decoherence and Kerr Frame Dragging

Gayatri Ghosh This is my paper

Pith reviewed 2026-06-28 00:13 UTC · model grok-4.3

classification ✦ hep-ph
keywords neutrino oscillationsopen quantum systemsgravitational decoherenceLindblad master equationKerr metricspin-connectionflavor evolutionastrophysical neutrinos
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The pith

Neutrino flavor evolution near compact objects is governed by a curvature-enhanced decoherence rate in an open quantum system.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper models neutrino oscillations in strong gravitational fields as an open quantum system. It starts from the Dirac equation in curved spacetime and derives a Lindblad master equation where spin-connection fluctuations act as a stochastic environment. This introduces a decoherence rate set by local geometry, affecting oscillation probabilities, flavor ratios, and entanglement. Such effects could be observable in high-energy astrophysical neutrinos detected by experiments like IceCube-Gen2.

Core claim

We derive a Lindblad master equation incorporating gravitational redshift, spin-curvature couplings, and Kerr frame-dragging, with a curvature-enhanced decoherence rate from stochastic spin-connection fluctuations. Oscillation probabilities, coherence loss, flavor-ratio distortions, entanglement entropy, and event-rate modifications are computed for neutrinos near Schwarzschild and Kerr objects, with comparisons to detector sensitivities.

What carries the argument

A Lindblad master equation with a decoherence rate governed by local spacetime curvature from spin-connection fluctuations.

If this is right

  • Oscillation probabilities are altered by gravitational effects and decoherence near compact objects.
  • Flavor ratios are distorted compared to vacuum expectations.
  • Entanglement entropy is generated during propagation.
  • Event rates in detectors are modified, potentially measurable by IceCube-Gen2, KM3NeT, and P-ONE.
  • Signatures include coherence loss quantifiable through quantum information observables.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This framework could extend to other fermions or bosons in strong gravity to test open quantum system approaches.
  • If confirmed, it suggests gravity induces decoherence that impacts quantum information in astrophysical settings.
  • Predictions might be tested with future neutrino telescopes observing sources near black holes.
  • Connections to other quantum gravity phenomenology could be explored through similar master equations.

Load-bearing premise

Spin-connection fluctuations can be modeled as a stochastic gravitational environment that produces a valid Lindblad master equation with decoherence rate directly determined by local curvature.

What would settle it

A measurement of neutrino flavor ratios from a source near a compact object showing no deviation from standard oscillation predictions without gravitational decoherence would falsify the curvature-enhanced rate.

Figures

Figures reproduced from arXiv: 2606.06629 by Gayatri Ghosh.

Figure 1
Figure 1. Figure 1: Multi-panel illustration of neutrino oscillations in strong grav [PITH_FULL_IMAGE:figures/full_fig_p032_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Curvature-induced decoherence dependence of neutrino flavor [PITH_FULL_IMAGE:figures/full_fig_p034_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Gravitational flavor memory observable Me(r) showing the cu￾mulative imprint of Kerr frame dragging on neutrino flavor evolution. The observable is defined as the integrated difference between survival probabil￾ities in Kerr and Schwarzschild geometries. Curves are shown for multiple neutrino energies and black-hole spin parameters. The vertical solid line de￾notes the event horizon (r = 2GM), while the da… view at source ↗
Figure 4
Figure 4. Figure 4: Flavor-triangle distortion induced by strong gravitational fields in [PITH_FULL_IMAGE:figures/full_fig_p039_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Relative event-rate distortion [PITH_FULL_IMAGE:figures/full_fig_p042_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Detector significance map for curvature-induced neutrino flavor [PITH_FULL_IMAGE:figures/full_fig_p045_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Entanglement entropy evolution in strong gravitational fields for [PITH_FULL_IMAGE:figures/full_fig_p047_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Curvature-induced decoherence phase diagram Γ [PITH_FULL_IMAGE:figures/full_fig_p048_8.png] view at source ↗
read the original abstract

We investigate neutrino flavor evolution in strong gravitational fields within an open-quantum-system framework in curved spacetime. Starting from the Dirac equation in the vierbein formalism, we construct an effective flavor Hamiltonian incorporating gravitational redshift, spin--curvature couplings, and Kerr frame-dragging effects. Treating spin-connection fluctuations as a stochastic gravitational environment, we derive a Lindblad master equation and introduce a curvature-enhanced decoherence rate governed by local spacetime geometry. We compute oscillation probabilities, coherence loss, flavor-ratio distortions, entanglement entropy generation, and event-rate modifications for neutrinos propagating near Schwarzschild and Kerr compact objects. The resulting signatures are compared with projected sensitivities of IceCube-Gen2, KM3NeT, and P-ONE, and are further quantified through detector-level significance estimates. Our results provide a unified effective framework linking neutrino oscillations, gravitationally induced decoherence, quantum-information observables, and high-energy astrophysical neutrino measurements in strong-curvature environments.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper claims to derive a Lindblad master equation for neutrino flavor evolution in curved spacetime by starting from the Dirac equation in the vierbein formalism, incorporating gravitational redshift, spin-curvature couplings and Kerr frame-dragging into an effective Hamiltonian, modeling spin-connection fluctuations as a stochastic environment, and introducing a curvature-enhanced decoherence rate set by local geometry. It then computes oscillation probabilities, coherence loss, flavor ratios, entanglement entropy and event-rate modifications near Schwarzschild and Kerr objects, comparing results to IceCube-Gen2, KM3NeT and P-ONE sensitivities.

Significance. If the central derivation is shown to be controlled, the work would supply a unified effective description linking gravitational decoherence to observable neutrino signatures in strong-curvature environments, with direct relevance to upcoming high-energy neutrino telescopes. The explicit inclusion of frame-dragging and the computation of quantum-information quantities (entanglement entropy) are potentially useful extensions beyond flat-space treatments.

major comments (2)
  1. [Lindblad derivation section] The section deriving the Lindblad master equation (around the transition from the stochastic spin-connection Hamiltonian to the master equation) must demonstrate that the Born-Markov-secular approximations remain valid when the vierbein and spin connection are evaluated on Schwarzschild/Kerr backgrounds. Gravitational redshift and frame-dragging introduce position-dependent timescales that can become comparable to the oscillation length; without explicit estimates or error bounds showing timescale separation is preserved, the claim that the decoherence rate is directly governed by local curvature lacks support.
  2. [Introduction of decoherence rate] The curvature-enhanced decoherence rate is introduced as an additional modeling step rather than obtained as a parameter-free output of the stochastic averaging. The manuscript should clarify whether this rate is fixed by the geometry alone or contains free parameters chosen to produce detectable signals, and how this avoids circularity with the projected detector sensitivities.
minor comments (2)
  1. [Abstract] The abstract states that oscillation probabilities and coherence loss are computed, but the corresponding explicit expressions (e.g., the form of the Lindblad operators or the integrated probability formulas) should be cross-referenced to specific equations in the main text.
  2. [Formalism section] Notation for the vierbein and spin connection should be defined once at first use and kept consistent when the stochastic fluctuations are introduced.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments, which help strengthen the rigor of our derivation. We address each major point below and will revise the manuscript to incorporate the requested clarifications and estimates.

read point-by-point responses

  1. Referee: The section deriving the Lindblad master equation (around the transition from the stochastic spin-connection Hamiltonian to the master equation) must demonstrate that the Born-Markov-secular approximations remain valid when the vierbein and spin connection are evaluated on Schwarzschild/Kerr backgrounds. Gravitational redshift and frame-dragging introduce position-dependent timescales that can become comparable to the oscillation length; without explicit estimates or error bounds showing timescale separation is preserved, the claim that the decoherence rate is directly governed by local curvature lacks support.

    Authors: We agree that explicit verification of the approximations is needed. In the revised version we will add a dedicated subsection (and appendix) that computes the relevant timescales for the Schwarzschild and Kerr cases: neutrino oscillation length, gravitational redshift timescale, frame-dragging period, and stochastic correlation time. For the energy and distance ranges relevant to IceCube-Gen2, KM3NeT and P-ONE (TeV–PeV neutrinos near Sgr A* or stellar-mass black holes), we show that the secular condition holds with relative error <5–10% outside the immediate horizon vicinity. Error bounds are obtained by comparing the position-dependent rates to the Markovian decay envelope. revision: yes

  2. Referee: The curvature-enhanced decoherence rate is introduced as an additional modeling step rather than obtained as a parameter-free output of the stochastic averaging. The manuscript should clarify whether this rate is fixed by the geometry alone or contains free parameters chosen to produce detectable signals, and how this avoids circularity with the projected detector sensitivities.

    Authors: The rate Γ arises from the second-order stochastic average over spin-connection fluctuations and is proportional to the local curvature invariants through the vierbein variance; the proportionality constant encodes the fluctuation amplitude, which is a single phenomenological parameter of the model. We will revise the text to state this explicitly, present Γ as Γ = α × (curvature scale), and show results for a range of α without presupposing detector reach. Detectability is then reported as a function of α, avoiding any tuning to specific experiment sensitivities. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation presented as independent from inputs

full rationale

The abstract describes starting from the Dirac equation in vierbein formalism, constructing an effective Hamiltonian with gravitational effects, treating spin-connection fluctuations as a stochastic environment to derive the Lindblad master equation, and introducing a curvature-enhanced decoherence rate. No self-citations, fitted parameters renamed as predictions, self-definitional steps, or ansatzes smuggled via prior work are quoted or evident. The central claims appear to rest on the modeling assumptions rather than reducing to inputs by construction, consistent with a self-contained effective framework.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

Assessment performed on abstract only; full derivation and any additional assumptions are unavailable.

axioms (2)
  • standard math The Dirac equation in the vierbein formalism remains valid for neutrinos in curved spacetime near compact objects.
    Stated as the starting point of the construction.
  • domain assumption Spin-connection fluctuations can be treated as a Markovian stochastic environment yielding a Lindblad master equation.
    Required to obtain the open-system evolution equation.
invented entities (1)
  • curvature-enhanced decoherence rate no independent evidence
    purpose: To quantify gravitational contribution to loss of neutrino coherence
    Introduced as the central new quantity in the master equation; no independent evidence supplied in abstract.

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discussion (0)

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Reference graph

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