Maximum Memory Density in Bits per Kilogram Under Bekenstein and Limit Bounds

This paper examines what memory density, in bits per kilogram, the Bekenstein bound actually permits once region size is treated honestly. 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. Bits per kilogram fall as the region grows at fixed density, so the most favourable figure belongs to the smallest stated region, not to bulk matter. 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.24133817
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
Field-Weighted Citation Impact
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article

Maximum Memory Density in Bits per Kilogram Under Bekenstein and Limit Bounds

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

Maximum Memory Density in Bits per Kilogram Under Bekenstein and Limit Bounds

William Alexander Aldred
article en

Abstract

This paper examines what memory density, in bits per kilogram, the Bekenstein bound actually permits once region size is treated honestly. 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. Bits per kilogram fall as the region grows at fixed density, so the most favourable figure belongs to the smallest stated region, not to bulk matter. 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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