Tensor Modes Across a Torsion Bounce: Transmission Factors for Gravitational Waves as a Function of Wavenumber

At one tenth of the bounce wavenumber the transmission factor is 3.776: long-wavelength modes are amplified, not merely transmitted, because the anti-friction of the contracting branch pumps modes whose period is long compared with the bounce duration, and the expansion afterwards does not fully undo that pumping within the integration window. At the bounce wavenumber the factor is 1.142, and at ten times the bounce wavenumber it is 1.010, essentially unity. Across the scan the factor ranges from 0.301 to 12.382, with the largest values at the smallest wavenumbers. The tensor sector is therefore selective in the opposite direction from naive expectation: short waves cross untouched, while the longest waves carry the largest processing, a smooth super-horizon growth accumulated over the whole contracting approach rather than an event at the bounce point itself. The study is a computation from stated assumptions, performed by the accompanying script; it is simulated, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123554
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Tensor Modes Across a Torsion Bounce: Transmission Factors for Gravitational Waves as a Function of Wavenumber

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

Tensor Modes Across a Torsion Bounce: Transmission Factors for Gravitational Waves as a Function of Wavenumber

William Alexander Aldred
article en

Abstract

At one tenth of the bounce wavenumber the transmission factor is 3.776: long-wavelength modes are amplified, not merely transmitted, because the anti-friction of the contracting branch pumps modes whose period is long compared with the bounce duration, and the expansion afterwards does not fully undo that pumping within the integration window. At the bounce wavenumber the factor is 1.142, and at ten times the bounce wavenumber it is 1.010, essentially unity. Across the scan the factor ranges from 0.301 to 12.382, with the largest values at the smallest wavenumbers. The tensor sector is therefore selective in the opposite direction from naive expectation: short waves cross untouched, while the longest waves carry the largest processing, a smooth super-horizon growth accumulated over the whole contracting approach rather than an event at the bounce point itself. The study is a computation from stated assumptions, performed by the accompanying script; it is simulated, not measured.

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