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arxiv: 2606.12915 · v1 · pith:QDV56R5Knew · submitted 2026-06-11 · ✦ hep-ph · gr-qc· hep-th

Mass Varying Neutrino Oscillation in Teleparallel Gravity

H. Mohseni Sadjadi , H. Yazdani Ahmadabadi This is my paper

Pith reviewed 2026-06-27 06:47 UTC · model grok-4.3

classification ✦ hep-ph gr-qchep-th
keywords mass varying neutrinosteleparallel gravitysolar neutrino oscillationstorsion screeningMSW resonance modificationdensity dependent massscalar-torsion coupling
0
0 comments X

The pith

Coupling a scalar to torsion in teleparallel gravity gives neutrinos a density-dependent mass that shifts solar oscillation probabilities.

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

The paper shows that in the Cartan teleparallel formulation, a scalar field coupled to the torsion tensor acquires an effective mass that depends on the surrounding density. Inside dense regions like the Sun the scalar is screened, so the neutrino mass itself varies with local density. This changes the resonance condition for flavor conversion away from the standard MSW picture. The resulting shift in conversion probability can be compared with measurements from solar neutrino experiments to bound the strength of the torsion-scalar coupling. A reader would care because the mechanism offers a direct, observable link between a modified gravity theory and an established particle-physics signal.

Core claim

In the Cartan teleparallel formulation of gravity, a scalar field coupled to the torsion tensor can acquire an environment dependent effective mass. This gives rise to a screening effect: Inside dense bodies such as the Sun, the scalar field is suppressed, causing the mass varying neutrino mass to vary with local density. The mechanism modifies the standard MSW resonance condition in a distinct way, leading to detectable shift in the flavor conversion probability. Using data from solar neutrino experiments the torsion-scalar coupling parameters are constrained.

What carries the argument

Torsion-induced screening of a scalar field that produces a density-dependent neutrino mass.

If this is right

  • The resonance condition for neutrino flavor conversion is altered by a term that depends on the torsion-scalar coupling.
  • The shift in conversion probability is large enough to be compared with existing solar neutrino data.
  • Constraints on the torsion-scalar coupling strength follow directly from Super-Kamiokande, Borexino and SNO measurements.
  • The same density-dependent mass effect supplies a concrete observational test of teleparallel gravity.

Where Pith is reading between the lines

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

  • The mechanism could be examined in other high-density settings such as core-collapse supernovae where neutrino oscillations are also observed.
  • If the screening scale is comparable to stellar densities, analogous effects might appear in laboratory neutrino beams passing through dense targets.
  • The approach opens a route to constrain teleparallel modifications using any environment where both density and neutrino flavor evolution can be measured.

Load-bearing premise

The scalar field coupled to the torsion tensor acquires an environment-dependent effective mass that directly translates into a density-dependent neutrino mass capable of altering observable oscillation probabilities.

What would settle it

Solar neutrino flavor conversion probabilities that match the standard MSW prediction with no measurable extra shift would rule out the torsion-screening mechanism.

Figures

Figures reproduced from arXiv: 2606.12915 by H. Mohseni Sadjadi, H. Yazdani Ahmadabadi.

Figure 1
Figure 1. Figure 1: The dimensionless scalar field profile as a function of the dimensionless fractional radius r ′ . These cases correspond to r ′ s = 4.17 × 10−6 (the solar case) and ϵ ∈ {7 × 1012 , 8 × 1012 , 9 × 1012}. At large distances, the scalar field exhibits smooth behavior, see panel (a). Panel (b) is drawn to illuminate the dependence of ϕˆ(r ′ ) on the parameters inside the object. As depicted in [PITH_FULL_IMAG… view at source ↗
Figure 2
Figure 2. Figure 2: This figure shows the scalar field gradient as a function of fractional radius r ′ , showing that peaks outside the sphere increase with larger values of the scalar field-torsion coupling parameter ϵ and occur at greater distances from the sphere’s surface. 6 [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The analysis of confidence regions (1σ, 2σ, and 3σ) for the model parameters ϵ (dimensionless) and ∆κ ′2 21. The best-fit values are shown by asterisks. 5 Results and Discussions It is expected that non-standard interactions between neutrinos and a scalar field, as described by teleparallel gravity, can have a notable impact on the probabilities of neutrino oscillations in a vacuum. These interactions also… view at source ↗
Figure 4
Figure 4. Figure 4: This plot shows the 3D-dependence of the electron neutrino survival probability Pee on the coupling parameter ϵ and neutrino energy Eν, showing how non-standard interactions in teleparallel gravity affect solar neutrino oscillations. The pronounced drop in Pee for high-energy neutrinos highlights their potential for probing BSM physics via the LMA-MSW effect. According to Fig.4, figure 5 is presented to il… view at source ↗
Figure 5
Figure 5. Figure 5: Dependence of Pee on the ϕ-T coupling parameter ϵ, using best-fit values from solar neutrino experiments (for Eν ≃ 10MeV). The plot reveals that Kamiokande data is a potential outlier, deviating from other experimental results. The difference in the survival probability of solar electron-neutrinos (∆P = P(ϵ) − P(0)) compared to the standard scenario has been displayed in [PITH_FULL_IMAGE:figures/full_fig_… view at source ↗
Figure 6
Figure 6. Figure 6: This figure illustrates how a proposed neutrino-torsion non-standard coupling ϵ modifies the expected behavior of solar neutrinos as they propagate through the Sun and space, with the magnitude and nature of this modification being intricately linked to the neutrino energy Eν [PITH_FULL_IMAGE:figures/full_fig_p014_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: This figure illustrates the ratio of neutrino mass mi(r ′ ) to terrestrial measurements, highlighting the variation in neutrino mass from the Sun’s core to Earth under the influence of torsion-induced matter effects. The plot reveals how neutrino mass increases with distance and its dependence on the coupling parameter ϵ, with larger values leading to a diminished increase in mass fraction outside the Sun.… view at source ↗
Figure 8
Figure 8. Figure 8: Variation of the squared mass difference ∆m2 21(r ′ ) as a function of dimensionless fractional radius (r ′ ). This would be a comparative analysis from Borexino, SNO, Kamiokande, SK, and Global fits. Determined value on each curve indicates the asymptotic mass-squared splitting. 6 Conclusion This study investigates mass varying neutrino flavor conversion in a teleparallel gravity model where the neutrino … view at source ↗
read the original abstract

In the Cartan teleparallel formulation of gravity, a scalar field coupled to the torsion tensor can acquire an environment dependent effective mass. This gives rise to a screening effect: Inside dense bodies such as the Sun, the scalar field is suppressed, causing the mass varying neutrino mass to vary with local density. We investigate the impact of this torsion-induced screening on solar neutrino oscillations. The mechanism modifies the standard MSW resonance condition in a distinct way, leading to detectable shift in the flavor conversion probability. Using data from solar neutrino experiments (Super-Kamiokande, Borexino, SNO), we place constraints on the torsion-scalar coupling parameters. Our work provides concrete test of teleparallel gravity through mass varying neutrino oscillations.

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 manuscript proposes that in the Cartan teleparallel formulation of gravity, a scalar field coupled to the torsion tensor acquires an environment-dependent effective mass, producing a screening effect inside dense bodies such as the Sun. This leads to density-dependent neutrino masses that modify the standard MSW resonance condition in a distinct way, resulting in observable shifts in solar neutrino flavor conversion probabilities. Constraints on the torsion-scalar coupling parameters are placed using data from Super-Kamiokande, Borexino, and SNO.

Significance. If the central claims were substantiated with explicit derivations and reproducible calculations, the work would provide a concrete, falsifiable test of teleparallel gravity via neutrino oscillations and could link modified gravity to astrophysical observables. However, the absence of any derivations, equations, or analysis details means the significance cannot be assessed at present.

major comments (1)
  1. The manuscript as provided consists solely of the abstract; no derivations, explicit equations, error analysis, or data-selection criteria are shown. This prevents any evaluation of whether the claimed distinct modification to the MSW resonance condition is supported or whether the constraints on the torsion-scalar coupling parameters are robust.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their report. We address the major comment below.

read point-by-point responses

  1. Referee: The manuscript as provided consists solely of the abstract; no derivations, explicit equations, error analysis, or data-selection criteria are shown. This prevents any evaluation of whether the claimed distinct modification to the MSW resonance condition is supported or whether the constraints on the torsion-scalar coupling parameters are robust.

    Authors: We agree that the version reviewed consists only of the abstract and therefore lacks the explicit derivations, equations, error analysis, and data-selection criteria needed for evaluation. In the revised manuscript we will add the full derivation of the torsion-coupled scalar acquiring an environment-dependent mass, the resulting screening inside the Sun, the modified MSW resonance condition, the altered flavor-conversion probabilities, the statistical analysis of Super-Kamiokande, Borexino and SNO data, and the resulting bounds on the coupling parameters. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The provided material consists solely of the abstract; no equations, derivations, or data-analysis sections are available for inspection. Without explicit steps such as fitted parameters renamed as predictions or self-citations that reduce the central claim to unverified inputs, no load-bearing circular reductions can be exhibited. The abstract describes a model that modifies MSW resonance and constrains parameters with solar neutrino data, but this is a standard fitting procedure and does not meet the criteria for circularity (no quoted equation or self-citation chain that forces the result by construction). The derivation chain cannot be walked, so the default finding of no significant circularity applies.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The model rests on an introduced scalar-torsion coupling whose only support is the fit to solar neutrino data; no independent evidence or first-principles derivation is supplied in the abstract.

free parameters (1)
  • torsion-scalar coupling parameters
    These are the quantities bounded by the solar neutrino data and therefore function as free parameters of the model.
axioms (1)
  • domain assumption A scalar field coupled to the torsion tensor acquires an environment-dependent effective mass.
    This is the central modeling step stated in the abstract.
invented entities (1)
  • Scalar field coupled to torsion no independent evidence
    purpose: To generate density-dependent neutrino mass via screening
    New entity introduced to produce the claimed effect; no independent evidence supplied.

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discussion (0)

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Reference graph

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