Gravitational Waves from Annihilating Walls: Peak Frequency and Amplitude for Walls Born at the Ceiling and Removed by a Bias

This paper computes a consequence of the torsion-regulated bounce for topological defects, using the density ceiling of 9.718e+54 grams per cubic centimetre and the maximum temperature of 3.278e+22 kelvin that follows from it. For a bias scale of 100 TeV the walls annihilate at 1.084e-16 seconds, at a temperature of 4.648e+04 GeV, and the gravitational-wave spectrum peaks today near 3.710e-03 hertz. A 1 PeV bias annihilates the network at 1.084e-20 seconds and 4.648e+06 GeV, peaking near 3.710e-01 hertz. A 10 PeV bias acts at 1.084e-24 seconds, at 4.648e+08 GeV, with a peak near 3.710e+01 hertz. The pattern is steep: because the annihilation time varies as the inverse fourth power of the bias scale, each factor of ten in bias moves the peak frequency by about a factor of one hundred, carrying the signal across the bands of space-based and then ground-based interferometers. The wall tension behind all three cases is eta cubed = 1.646e+28 GeV cubed at the ceiling. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24142466
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Gravitational Waves from Annihilating Walls: Peak Frequency and Amplitude for Walls Born at the Ceiling and Removed by a Bias

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Gravitational Waves from Annihilating Walls: Peak Frequency and Amplitude for Walls Born at the Ceiling and Removed by a Bias

William Alexander Aldred
article en

Abstract

This paper computes a consequence of the torsion-regulated bounce for topological defects, using the density ceiling of 9.718e+54 grams per cubic centimetre and the maximum temperature of 3.278e+22 kelvin that follows from it. For a bias scale of 100 TeV the walls annihilate at 1.084e-16 seconds, at a temperature of 4.648e+04 GeV, and the gravitational-wave spectrum peaks today near 3.710e-03 hertz. A 1 PeV bias annihilates the network at 1.084e-20 seconds and 4.648e+06 GeV, peaking near 3.710e-01 hertz. A 10 PeV bias acts at 1.084e-24 seconds, at 4.648e+08 GeV, with a peak near 3.710e+01 hertz. The pattern is steep: because the annihilation time varies as the inverse fourth power of the bias scale, each factor of ten in bias moves the peak frequency by about a factor of one hundred, carrying the signal across the bands of space-based and then ground-based interferometers. The wall tension behind all three cases is eta cubed = 1.646e+28 GeV cubed at the ceiling. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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