Torsion Corrections to Compact-Star Structure: Mass–Radius Shifts and the Maximum Mass in the Aldred Frame
Year: 2026
Type: preprint
Abstract: In Einstein-Cartan gravity the spin-torsion term reduces the effective gravitational density by Delta rho/rho = rho/rho_A with rho_A = 9.72e54 g/cm^3 (the Aldred Limit). This paper inserts that correction into the Tolman-Oppenheimer-Volkoff equations as an effective density and pressure modification and integrates stellar structure for two equations of state: a Gamma=2 polytrope and SLy in the analytic parametrisation of Haensel and Potekhin (2004). Shifts are obtained by linear-response extrapolation from amplified integrations, verified linear over three decades. For SLy (general-relativistic maximum mass 2.048 solar masses), the maximum-mass shift is Delta M_max/M_max = -8.9e-41 (absolute -1.8e-40 solar masses); the canonical 1.400 solar-mass model shifts by Delta M/M = -5.5e-40 and Delta R/R = -2.7e-40. The correction reaches 1e-6 only at 9.72e48 g/cm^3, 1e-3 at 9.72e51 g/cm^3, and order unity at rho_A itself. The result is a bound: torsion in this frame changes compact-star structure far below any measurable level (by roughly 38 orders of magnitude) and moves no equation of state across the observed 2.0-2.35 solar-mass range. AI-use disclosure: this work was prepared with the assistance of Dave, an artificial intelligence system built and operated by Aldred Industries. All computations were performed by the deposited script compute.py; the author reviewed the results and takes responsibility for the contents.
Author: Aldred, William Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225736154
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