The Information-Thermodynamic Certification: Landauer, Bekenstein, and PAC-Bayes as One Principle

Every bound in the estate's 21-formula atlas answers the same question: what is the minimum cost of knowing something? Landauer proved information is physical; Bekenstein proved information occupies space; PAC-Bayes proved information about risk requires samples; the Lambda gate proves admission requires evidence. They are all the same principle.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24005482
Primary Topic
Computability, Logic, AI Algorithms
Type
preprint
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preprint

The Information-Thermodynamic Certification: Landauer, Bekenstein, and PAC-Bayes as One Principle

Stephen P. Lutar
3 links
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
preprint

The Information-Thermodynamic Certification: Landauer, Bekenstein, and PAC-Bayes as One Principle

Stephen P. Lutar
preprint en

Abstract

Every bound in the estate's 21-formula atlas answers the same question: what is the minimum cost of knowing something? Landauer proved information is physical; Bekenstein proved information occupies space; PAC-Bayes proved information about risk requires samples; the Lambda gate proves admission requires evidence. They are all the same principle.

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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The Information-Thermodynamic Certification: Landauer, Bekenstein, and PAC-Bayes as One Principle — Stephen P. Lutar · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS