Gödel's Informational Residue: A Foundational Origin of Entropy and the Arrow of Time

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1. Verfasser:	Kruse, Christopher Grant
Format:	Recurso digital
Sprache:	Englisch
Veröffentlicht:	Zenodo 2025
Schlagworte:	Gödel's Informational Residue Entropy Arrow of Time Irreversibility Incompleteness theorem Landauer's principle Thermodynamics of information Statistical mechanics Information theory Kolmogorov complexity Representational deficit Universal Dual Optimization (UDO) Quantum measurement Coarse-graining Thermodynamic irreversibility Logical constraints in physics Self-representation limits Entropy production Computational irreversibility Black hole information
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_version_	1866901659916959744
author	Kruse, Christopher Grant
author_facet	Kruse, Christopher Grant
contents	<p>This paper reframes Gödel’s incompleteness phenomena as part of a broader structure of irreversible information. It argues that every act of resolving uncertainty—whether in logic, scientific inquiry, or cognition—requires erasing alternative possibilities, and that erasure carries an objective thermodynamic cost. This “informational residue” connects epistemic collapse to entropy production and provides a conceptual bridge toward an emerging framework of informational thermophysics, where irreversible information becomes physically consequential. This work serves as the philosophical and informational foundation for later developments linking informational cost to thermodynamic irreversibility and, ultimately, to geometric curvature through the relation R = \alpha C^2.</p> <p> </p>
format	Recurso digital
id	zenodo_https___doi_org_10_5281_zenodo_17620136
institution	Zenodo
language	eng
publishDate	2025
publisher	Zenodo
record_format	zenodo
spellingShingle	Gödel's Informational Residue: A Foundational Origin of Entropy and the Arrow of Time Kruse, Christopher Grant Gödel's Informational Residue Entropy Arrow of Time Irreversibility Incompleteness theorem Landauer's principle Thermodynamics of information Statistical mechanics Information theory Kolmogorov complexity Representational deficit Universal Dual Optimization (UDO) Quantum measurement Coarse-graining Thermodynamic irreversibility Logical constraints in physics Self-representation limits Entropy production Computational irreversibility Black hole information <p>This paper reframes Gödel’s incompleteness phenomena as part of a broader structure of irreversible information. It argues that every act of resolving uncertainty—whether in logic, scientific inquiry, or cognition—requires erasing alternative possibilities, and that erasure carries an objective thermodynamic cost. This “informational residue” connects epistemic collapse to entropy production and provides a conceptual bridge toward an emerging framework of informational thermophysics, where irreversible information becomes physically consequential. This work serves as the philosophical and informational foundation for later developments linking informational cost to thermodynamic irreversibility and, ultimately, to geometric curvature through the relation R = \alpha C^2.</p> <p> </p>
title	Gödel's Informational Residue: A Foundational Origin of Entropy and the Arrow of Time
topic	Gödel's Informational Residue Entropy Arrow of Time Irreversibility Incompleteness theorem Landauer's principle Thermodynamics of information Statistical mechanics Information theory Kolmogorov complexity Representational deficit Universal Dual Optimization (UDO) Quantum measurement Coarse-graining Thermodynamic irreversibility Logical constraints in physics Self-representation limits Entropy production Computational irreversibility Black hole information
url	https://doi.org/10.5281/zenodo.17620136