Gravitational-Wave Memory in the Aldred Frame: The Permanent Strain Offset of a Merger Whose Core Bounces

A binary black hole merger leaves a permanent offset in the gravitational strain, the displacement memory. This paper computes the standard memory from the radiated energy for published events (GW150914: Delta h = 2.48e-22 edge-on at 410 Mpc) and asks what changes in Einstein-Cartan spin-torsion gravity in the frame defined by the Aldred Limit, rho_A = 9.72e54 g/cm^3, in which collapse bounces at rho_A instead of forming a singularity. Two channels are priced exactly: the torsion correction in the generation region, epsilon_tor <= 4.38e-42, and a deliberate retained-energy ceiling attributing the full rest energy of three bounced cores at the remnant-floor mass M_rem = 8.66e13 g to diverted radiation, epsilon_ret <= 1.45e-19 across the events tabulated. The frame-to-standard memory ratio is therefore 1 - epsilon with epsilon <= 1.45e-19, and the absolute shift for GW150914 is at most 1.08e-41. The difference is unmeasurable with any existing or planned instrument, by margins of seventeen to twenty-six orders of magnitude across ground-based, space-based, and pulsar-timing bands; this is reported as a negative result at full size. All numbers are produced by the deposited compute.py. AI-use disclosure: Drafted with the assistance of Dave, an AI research system; all computations reproducible from the included script.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24110960
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
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preprint

Gravitational-Wave Memory in the Aldred Frame: The Permanent Strain Offset of a Merger Whose Core Bounces

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
preprint

Gravitational-Wave Memory in the Aldred Frame: The Permanent Strain Offset of a Merger Whose Core Bounces

William Alexander Aldred
preprint en

Abstract

A binary black hole merger leaves a permanent offset in the gravitational strain, the displacement memory. This paper computes the standard memory from the radiated energy for published events (GW150914: Delta h = 2.48e-22 edge-on at 410 Mpc) and asks what changes in Einstein-Cartan spin-torsion gravity in the frame defined by the Aldred Limit, rho_A = 9.72e54 g/cm^3, in which collapse bounces at rho_A instead of forming a singularity. Two channels are priced exactly: the torsion correction in the generation region, epsilon_tor <= 4.38e-42, and a deliberate retained-energy ceiling attributing the full rest energy of three bounced cores at the remnant-floor mass M_rem = 8.66e13 g to diverted radiation, epsilon_ret <= 1.45e-19 across the events tabulated. The frame-to-standard memory ratio is therefore 1 - epsilon with epsilon <= 1.45e-19, and the absolute shift for GW150914 is at most 1.08e-41. The difference is unmeasurable with any existing or planned instrument, by margins of seventeen to twenty-six orders of magnitude across ground-based, space-based, and pulsar-timing bands; this is reported as a negative result at full size. All numbers are produced by the deposited compute.py. AI-use disclosure: Drafted with the assistance of Dave, an AI research system; all computations reproducible from the included script.

Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
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