A Thermodynamic Invariant of Macroscopic Brain State: The Integration-Dissipation Ratio

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Main Author: O'Keeffe, Daniel
Format: Recurso digital
Published: Zenodo 2026
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author O'Keeffe, Daniel
author_facet O'Keeffe, Daniel
contents <p><span>We report the identification of a dimensionless ratio—the Integration-Dissipation Ratio (Rᴵᴰ = Sₚᵣₒᵈ / Cₗ)—that behaves as a conserved state variable of macroscopic brain dynamics. In human EEG under propofol sedation (N = 21, OpenNeuro ds005620), Rᴵᴰ is statistically invariant between wakefulness and light sedation with preserved responsiveness (p = 0.48, Bayes Factor = 178.60), and collapses decisively under deep sedation where behavioural responsiveness is abolished (p = 0.0065). The component quantities—thermodynamic entropy production (Sₚᵣₒᵈ) and algorithmic complexity (Cₗ)—decline asymmetrically during this transition (entropy production: −55%; complexity: −16%), quantitatively falsifying the null hypothesis that ratio stability reflects proportional co-decline. Cross-species validation on rat neocortical local field potentials confirms magnitude consistency (4/4 testable criteria pass). Human sleep deprivation EEG confirms the predicted directional elevation of Rᴵᴰ under homeostatic debt (p = 0.033, correct direction in 81% of subjects). All data are publicly available. Full analysis code is provided for independent replication.</span></p>
format Recurso digital
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institution Zenodo
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publishDate 2026
publisher Zenodo
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spellingShingle A Thermodynamic Invariant of Macroscopic Brain State: The Integration-Dissipation Ratio
O'Keeffe, Daniel
<p><span>We report the identification of a dimensionless ratio—the Integration-Dissipation Ratio (Rᴵᴰ = Sₚᵣₒᵈ / Cₗ)—that behaves as a conserved state variable of macroscopic brain dynamics. In human EEG under propofol sedation (N = 21, OpenNeuro ds005620), Rᴵᴰ is statistically invariant between wakefulness and light sedation with preserved responsiveness (p = 0.48, Bayes Factor = 178.60), and collapses decisively under deep sedation where behavioural responsiveness is abolished (p = 0.0065). The component quantities—thermodynamic entropy production (Sₚᵣₒᵈ) and algorithmic complexity (Cₗ)—decline asymmetrically during this transition (entropy production: −55%; complexity: −16%), quantitatively falsifying the null hypothesis that ratio stability reflects proportional co-decline. Cross-species validation on rat neocortical local field potentials confirms magnitude consistency (4/4 testable criteria pass). Human sleep deprivation EEG confirms the predicted directional elevation of Rᴵᴰ under homeostatic debt (p = 0.033, correct direction in 81% of subjects). All data are publicly available. Full analysis code is provided for independent replication.</span></p>
title A Thermodynamic Invariant of Macroscopic Brain State: The Integration-Dissipation Ratio
url https://doi.org/10.5281/zenodo.19074214