The Inspiral Phase in the Aldred Frame: Torsion Corrections to Binary Waveforms and the LIGO–Virgo Bound
Year: 2026
Type: article
Abstract: In Einstein–Cartan spin–torsion gravity, a body of density ρ has effective gravitational density ρ(1 − ρ/ρ_A) with the Aldred Limit ρ_A = 9.72×10^54 g/cm^3. This paper computes the source-side correction for inspiralling binaries: the corrected mass–radius–binding-energy bookkeeping for neutron-star components (δM/M = −1.02×10^−40 at the densest realistic centre, 1.988×10^15 g/cm^3), the exact absorption of the correction into the measured mass for black-hole components, and the resulting inspiral dephasing — 8.60×10^−37 cycles accumulated over a full LIGO-band binary-neutron-star inspiral (5,047 cycles), 35.1 orders of magnitude below a 0.1-cycle phase accuracy of the GW170817 / GWTC class. A 0.1-cycle dephasing would require central densities of 2.31×10^50 g/cm^3. The extreme case of components near the Aldred Limit is also computed: the formal dephasing would reach 421 cycles at ρ_c/ρ_A = 0.1, but near-limit objects have mass 8.66×10^13 g, merge at 5.05×10^22 Hz, and inspiral from 20 Hz in 5.13×10^34 s, so no conceivable detector observes them. AI-use disclosure: computational and drafting assistance was provided by Dave, an AI system; the author reviewed 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: W7225745992
FWCI:
Cites:
Cited by:
Related to: