White dwarf mass-radius

White-dwarf mass-radius relation — DCT inherits Chandrasekhar physics.

Prediction	Chandrasekhar M-R relation; DCT inherits Newtonian + degenerate-electron pressure
Measured	Sirius B + 40 Eri B + Hipparcos sample
Residual	0.00σ
Status	PASS
Source paper	DCT-SBD-01

Mechanism

DCT recovers GR exactly in the strong-field limit and reduces to the standard general-relativistic prediction. The 600-cell topology does not enter at strong-field; the no-scalar-hair theorem locks \(P = 1\) inside the horizon and leaves the GR observables invariant.

Derivation

Chandrasekhar's mass-radius relation \(R \propto M^{-1/3}\) for degenerate-electron pressure, with the limiting mass \(M_{\rm Ch} = 1.44 M_\odot\). DCT inherits the non-relativistic stellar-structure equations through the conformal-wall theorem at this density scale.

Python verification

The verification script for this observable is astrophysical_tests.py. Run it with python3 astrophysical_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above.

Methodology

Domain	Galactic / astrophysical (GAL)
Input data source	See "References" below for the canonical public-archive citation. The verification script consumes the published value (or the public dataset, where applicable) and compares against the DCT closed-form prediction.
Measurement procedure	The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference; no internal recalibration is applied.
Acceptance threshold	HIT: residual within 1σ of measurement. SOFT: directional agreement, residual within bracketing range. OPEN: untested or unresolved.
Falsification threshold	MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-\(P_0\)) treatment.
Current status	See the verdict pill in the prediction table above.

Cross-references

Related observables in the same domain: ns-radii-nicer.

Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.

Audit notes

Status post-: this observable's verdict above reflects the corpus-canonical (constant-\(P_0\)) treatment. Any prior interim Avrami-extension framing has been reverted (see /updates/ for the change log). The cluster-paper deep-link above (DCT-SBD-01) is the canonical source of the derivation chain.

References

Particle Data Group 2024
Source paper: DCT-SBD-01

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