Landauer Erasure Cost at the Bounce Temperature Ceiling

This paper examines what erasing one bit must cost, as heat, if the erasure is attempted at the hottest temperature the frame permits. 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. The cost at the bounce temperature is about 3.14e-01 joules per bit, roughly twenty-two orders above the familiar room-temperature figure. 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.24133797
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
Field-Weighted Citation Impact
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article

Landauer Erasure Cost at the Bounce Temperature Ceiling

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

Landauer Erasure Cost at the Bounce Temperature Ceiling

William Alexander Aldred
article en

Abstract

This paper examines what erasing one bit must cost, as heat, if the erasure is attempted at the hottest temperature the frame permits. 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. The cost at the bounce temperature is about 3.14e-01 joules per bit, roughly twenty-two orders above the familiar room-temperature figure. 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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