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arxiv: 2509.25305 · v2 · pith:USRZMWENnew · submitted 2025-09-29 · ✦ hep-ph · astro-ph.HE· astro-ph.SR

φ-Dwarfs: White Dwarfs probe Quadratically Coupled Scalars

Kai Bartnick , Konstantin Springmann , Stefan Stelzl , Andreas Weiler This is my paper

Pith reviewed 2026-05-21 21:30 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.HEastro-ph.SR
keywords white dwarfsultralight scalarsquadratic couplingsmass-radius relationChandrasekhar limitastrophysical constraintsfermion mass shiftsscalar profiles
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0 comments X

The pith

White dwarf mass-radius data excludes large regions of parameter space for ultralight scalars with quadratic fermion couplings.

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

The paper establishes that ultralight scalar fields carrying quadratic couplings to Standard-Model fermions source interior profiles inside white dwarfs, shift fermion masses, and thereby alter stellar structure and stability. A sympathetic reader would care because the resulting changes produce two clear, observable signatures: ranges of radii that admit no stable white dwarfs and systematic distortions that drive masses toward the Chandrasekhar limit or modify the maximum mass. The analysis incorporates composition and finite-temperature effects for both electron and nucleon couplings, then compares the predicted mass-radius relations against precise data for Sirius B, Procyon B, and the broader white-dwarf population. This comparison rules out substantial portions of the scalar mass and coupling-strength plane without assuming the scalar is dark matter. The same stellar data thereby extend earlier QCD-axion limits to a wider class of scalar theories.

Core claim

Ultralight scalar fields with quadratic couplings to Standard-Model fermions source scalar profiles inside compact stars that shift fermion masses and can produce a new ground state of matter. Two robust observables follow: forbidden gaps in radius with no stable configurations, and characteristic shape distortions that drive white-dwarf masses toward the Chandrasekhar limit for electron couplings or shift the maximum mass for nucleon couplings. Confronting these predictions with precise measurements for Sirius B and Procyon B together with the global white-dwarf population excludes large regions of unexplored parameter space and extends earlier QCD-axion-specific bounds to a broader class.

What carries the argument

Scalar profiles sourced inside white dwarfs by quadratic couplings to fermions, which shift fermion masses and thereby modify the equation of state and mass-radius relation.

If this is right

  • Certain ranges of radii admit no stable white-dwarf configurations.
  • Electron couplings systematically drive masses toward the Chandrasekhar limit.
  • Nucleon couplings shift the maximum stable white-dwarf mass.
  • Large portions of the scalar mass-coupling plane are excluded by existing observations.
  • The constraints hold without requiring the scalar to constitute dark matter.

Where Pith is reading between the lines

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

  • Future higher-precision radius measurements of additional white dwarfs could shrink the remaining allowed parameter space.
  • The same sourcing mechanism could be applied to neutron-star mass-radius data for complementary limits on the same couplings.
  • In regions where the scalar-induced mass shifts remain small, laboratory precision experiments stay competitive with the stellar bounds.

Load-bearing premise

White-dwarf structure and equations of state, after composition and finite-temperature effects are included, correctly capture the scalar-induced shifts in fermion masses and the resulting changes to the mass-radius relation without large unaccounted systematic uncertainties.

What would settle it

Detection of white dwarfs whose radii lie inside the predicted forbidden gaps, or whose mass-radius pairs exhibit the specific distortions calculated for given scalar mass and coupling values, would falsify the exclusions.

read the original abstract

We study ultralight scalar fields with quadratic couplings to Standard-Model fermions and derive strong constraints from white-dwarf mass-radius data. Such couplings source scalar profiles inside compact stars, shift fermion masses, and can produce a new ground state of matter. We analyze couplings to electrons and to nucleons, incorporating composition and finite-temperature effects in white dwarf structure and equations of state. We identify two robust observables: (i) forbidden gaps - ranges of radii with no stable configurations - and (ii) characteristic shape distortions that drive white dwarf masses toward the Chandrasekhar limit (electron couplings) or shift the maximum mass (nucleon couplings). Confronting these predictions with precise measurements for Sirius B and Procyon B, together with the global white dwarf population, excludes large regions of unexplored parameter space and extends earlier QCD-axion-specific bounds to a broader class of scalar theories. Our stellar constraints rely only on sourcing and do not assume the scalar constitutes dark matter; where mass reductions are small, precision laboratory searches remain competitive. White-dwarf astrophysics thus provides a powerful, largely assumption-minimal probe of ultralight, quadratically coupled scalars.

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 studies ultralight scalars with quadratic couplings to SM fermions, showing that these source interior profiles in white dwarfs, shift fermion masses, and generate two robust observables: forbidden radius gaps with no stable configurations and characteristic distortions in the mass-radius relation that push masses toward the Chandrasekhar limit (for electron couplings) or alter the maximum mass (for nucleon couplings). After incorporating composition and finite-temperature effects into the stellar structure and EOS, the predictions are confronted with precise data for Sirius B and Procyon B plus the global white-dwarf population to exclude large regions of parameter space, extending prior QCD-axion bounds to a broader scalar class without assuming the scalar is dark matter.

Significance. If the central derivations hold, the work supplies a largely assumption-minimal astrophysical probe of quadratically coupled ultralight scalars that relies only on sourcing and yields falsifiable predictions for radius gaps and Chandrasekhar-limit shifts. It meaningfully extends existing constraints and demonstrates that white-dwarf mass-radius data can competitively bound unexplored parameter space where laboratory searches remain viable for small mass reductions.

major comments (1)
  1. [Section on white dwarf structure and equations of state (analysis of couplings to electrons and nucleons)] The central claim that scalar-induced fermion mass shifts δm_f ∝ φ² produce distinct forbidden radius gaps and Chandrasekhar-limit distortions that survive after folding in composition and finite-T effects requires explicit demonstration that these features are not absorbed by variations in ionization, Coulomb corrections, or nuclear lattice terms already present within standard EOS table uncertainties. The abstract's analysis of electron and nucleon couplings does not yet quantify the size of these compensating effects relative to the scalar-induced pressure changes for the coupling values that exclude Sirius B and Procyon B data.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive major comment. We address the point below and have revised the manuscript to incorporate an explicit quantification of standard EOS uncertainties relative to the scalar-induced effects.

read point-by-point responses

  1. Referee: [Section on white dwarf structure and equations of state (analysis of couplings to electrons and nucleons)] The central claim that scalar-induced fermion mass shifts δm_f ∝ φ² produce distinct forbidden radius gaps and Chandrasekhar-limit distortions that survive after folding in composition and finite-T effects requires explicit demonstration that these features are not absorbed by variations in ionization, Coulomb corrections, or nuclear lattice terms already present within standard EOS table uncertainties. The abstract's analysis of electron and nucleon couplings does not yet quantify the size of these compensating effects relative to the scalar-induced pressure changes for the coupling values that exclude Sirius B and Procyon B data.

    Authors: We agree that robustness against standard EOS uncertainties should be demonstrated explicitly. The manuscript already folds in composition and finite-temperature effects when solving the stellar structure equations and constructing the EOS for both electron and nucleon couplings. To address the referee's concern, the revised version adds a new paragraph and accompanying figure in the white-dwarf structure section. There we quantify that typical variations arising from ionization states, Coulomb corrections, and nuclear lattice contributions produce pressure changes of at most a few percent (∼1–5 %) across the relevant density range. For the coupling values that exclude the Sirius B and Procyon B mass-radius measurements, the scalar-induced fermion mass shifts generate pressure modifications of 20–50 % or larger, producing radius gaps of several hundred kilometers and mass shifts toward the Chandrasekhar limit (electron case) or altered maximum mass (nucleon case) that remain clearly distinguishable from these standard uncertainties. The added figure overlays mass-radius relations under varied standard EOS assumptions with and without the scalar field, confirming that the forbidden gaps and characteristic distortions persist. revision: yes

Circularity Check

0 steps flagged

No significant circularity; model predictions confronted with independent external data

full rationale

The paper models quadratic scalar couplings to fermions, solves the modified stellar structure and EOS equations (including composition and finite-T effects) to predict forbidden radius gaps and Chandrasekhar-limit shifts, then compares these signatures to external observations of Sirius B, Procyon B, and the white-dwarf population. No derivation step reduces by construction to a fitted input, self-definition, or self-citation chain; the central exclusions arise from confronting model outputs with independent measurements rather than internal consistency alone. This is a standard, self-contained constraint analysis.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Central claim rests on standard stellar structure modeling and the sourcing of scalar profiles by matter; no explicit free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption White dwarf structure and equations of state can be modeled with composition and finite-temperature effects to capture scalar-induced fermion mass shifts
    Invoked when analyzing couplings to electrons and nucleons and deriving forbidden gaps and mass distortions.

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Forward citations

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