Shannon Capacity Under a Shear-Limited Bandwidth Ceiling

This paper examines what channel capacity follows if usable bandwidth is capped by a shear-related frequency scale in addition to ordinary receiver limits. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. For ordinary links the shear-related ceiling sits far above engineered bandwidths, so capacity remains receiver-limited in every stated case. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.

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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.24133864
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
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article

Shannon Capacity Under a Shear-Limited Bandwidth Ceiling

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
article

Shannon Capacity Under a Shear-Limited Bandwidth Ceiling

William Alexander Aldred
article en

Abstract

This paper examines what channel capacity follows if usable bandwidth is capped by a shear-related frequency scale in addition to ordinary receiver limits. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. For ordinary links the shear-related ceiling sits far above engineered bandwidths, so capacity remains receiver-limited in every stated case. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
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