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arxiv: 2606.00617 · v1 · pith:QU4JZVY6new · submitted 2026-05-30 · ✦ hep-th

Spacetime torsion signatures in neutrino oscillation physics

Capolupo Antonio , Monda Simone , Pisacane Gabriele , Quaranta Aniello , Serao Raoul This is my paper

Pith reviewed 2026-06-28 18:22 UTC · model grok-4.3

classification ✦ hep-th
keywords neutrino oscillationsspacetime torsionEinstein-Cartan theoryspin dependencebackground torsion
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The pith

Background torsion in Einstein-Cartan theory modifies neutrino oscillation formulas in a manner dependent on neutrino spin orientation.

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

This paper examines how a background spacetime torsion field affects neutrino oscillations within Einstein-Cartan theory. It derives new oscillation formulas specifically for constant torsion and for torsion that varies linearly with time. These formulas show explicit dependence on the orientation of the neutrino spin. Such effects, if observed, would provide a way to detect torsion through neutrino experiments.

Core claim

In the context of Einstein-Cartan theory, new oscillation formulas are found for constant torsion and linearly time-dependent torsion. The oscillation formulas obtained depend on the orientation of the spin.

What carries the argument

The torsion tensor treated as an external classical source that couples to neutrino spin and alters the effective propagation Hamiltonian.

If this is right

  • Oscillation probabilities acquire an additional phase term that depends on the alignment between spin and torsion vector.
  • Constant torsion produces a fixed shift in the effective oscillation parameters.
  • Linearly time-dependent torsion causes the oscillation pattern to evolve predictably with time.
  • The magnitude of the effect scales with the component of torsion parallel to the spin direction.

Where Pith is reading between the lines

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

  • Polarized neutrino beams in controlled settings could isolate torsion signatures from standard oscillation effects.
  • The same spin-dependent coupling might apply to other spin-1/2 particles propagating through torsion.
  • Early-universe torsion could have left imprints on relic neutrino distributions.

Load-bearing premise

The background torsion field can be treated as an external classical source that is either constant or linearly time-dependent without dynamical back-reaction or quantization effects.

What would settle it

An observation of identical oscillation probabilities for neutrinos with opposite spin orientations in a torsion background would contradict the derived formulas.

Figures

Figures reproduced from arXiv: 2606.00617 by Capolupo Antonio, Monda Simone, Pisacane Gabriele, Quaranta Aniello, Serao Raoul.

Figure 1
Figure 1. Figure 1: Transition probability Q ↑,↓ νe→ντ (t) with constant torsion. Left: spin-up (blue) and spin-down (red). Right: comparison with QM predictions (dashed). 0 2000 4000 6000 8000 10 000 0 0.2 0.4 0.6 0.8 1 t (eV-1 ) Qe→e(t) 0 100 200 300 400 500 600 0.6 0.8 1 t (eV-1 ) Qe→e(t) [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Transition probability for linearly time-dependent torsion. Left: spin-up (blue) and spin [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
read the original abstract

We report on recent results concerning neutrino oscillation in the presence of background torsion. In the context of Einstein-Cartan theory, we find new oscillation formulas for constant torsion and linearly time-dependent torsion. The oscillation formulas obtained depend on the orientation of the spin.

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

1 major / 0 minor

Summary. The paper claims that in Einstein-Cartan theory, new neutrino oscillation formulas are derived for constant torsion and linearly time-dependent torsion backgrounds; these formulas depend on the orientation of the neutrino spin.

Significance. If the derivations are valid, the work would identify potential torsion signatures in neutrino oscillations, offering a concrete extension of standard propagation models to modified gravity. Credit is due for identifying the spin-orientation dependence as a distinguishing feature.

major comments (1)
  1. [Setup of the background torsion and derivation of oscillation formulas] The central claim rests on treating the torsion (constant or linearly time-dependent) as a fixed external classical background that can be directly inserted into the neutrino Dirac/propagation Hamiltonian. In Einstein-Cartan theory the contorsion is algebraically fixed by the spin-density tensor of matter; an arbitrary external torsion is therefore consistent only if the neutrino spin density is negligible or the geometry is externally prescribed. Neither condition is shown to hold for propagating neutrinos, so the derived phase factors and spin-orientation dependence rest on an unverified decoupling assumption.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of the work's significance and for the detailed comment. We address the major concern point by point below, maintaining that the derivations hold under the standard test-particle approximation for background torsion in Einstein-Cartan theory.

read point-by-point responses

  1. Referee: The central claim rests on treating the torsion (constant or linearly time-dependent) as a fixed external classical background that can be directly inserted into the neutrino Dirac/propagation Hamiltonian. In Einstein-Cartan theory the contorsion is algebraically fixed by the spin-density tensor of matter; an arbitrary external torsion is therefore consistent only if the neutrino spin density is negligible or the geometry is externally prescribed. Neither condition is shown to hold for propagating neutrinos, so the derived phase factors and spin-orientation dependence rest on an unverified decoupling assumption.

    Authors: Our analysis treats the torsion as an external background sourced by dominant matter (e.g., in cosmological settings), with neutrinos as test particles whose spin density is negligible. This is the standard decoupling approximation in phenomenological studies of torsion effects on fermions, analogous to geodesic motion in GR. The spin-orientation dependence follows directly from the Dirac equation coupled to the background contorsion. We will revise the manuscript to add an explicit paragraph in Section 2 clarifying this assumption, its regime of validity, and why it applies to propagating neutrinos. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation extends standard Dirac propagation by torsion terms without self-referential reduction

full rationale

The provided abstract and context describe new oscillation formulas obtained by including torsion in the neutrino propagation framework within Einstein-Cartan theory. No equations, self-citations, fitted parameters renamed as predictions, or ansatzes smuggled via prior work are exhibited that would reduce the claimed formulas to their inputs by construction. The central step is presented as a direct extension of the standard Hamiltonian, which remains independent of the output formulas themselves. This is the most common honest finding when no load-bearing circular step can be quoted.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no information on free parameters, axioms, or invented entities; ledger entries cannot be populated.

pith-pipeline@v0.9.1-grok · 5560 in / 947 out tokens · 19389 ms · 2026-06-28T18:22:46.216536+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

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

  1. Spin-dependent neutrino oscillations in torsion backgrounds: A quantum-field-theoretic analysis

    hep-ph 2026-06 unverdicted novelty 6.0

    Constant spatial torsion induces spin-dependent effective masses for neutrinos that modify both frequencies and amplitudes of flavor oscillations in the QFT description, with largest effects at low momentum when torsi...

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