H2: Integrated Information as a Poisson-Commuting Hamiltonian Invariant

Prior art establishing that IIT Integrated Information Φ̃ satisfies {Φ̃,H}=0 (Poisson bracket with Hamiltonian = 0) under three sufficient conditions: functional dependence, Noether symmetry, and constancy on energy shells.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20967278
Primary Topic
Statistical Mechanics and Entropy
Type
preprint
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preprint

H2: Integrated Information as a Poisson-Commuting Hamiltonian Invariant

Maksym Diachenko
Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
preprint

H2: Integrated Information as a Poisson-Commuting Hamiltonian Invariant

Maksym Diachenko
preprint en

Abstract

Prior art establishing that IIT Integrated Information Φ̃ satisfies {Φ̃,H}=0 (Poisson bracket with Hamiltonian = 0) under three sufficient conditions: functional dependence, Noether symmetry, and constancy on energy shells.

Zenodo (CERN European Organization for Nuclear Research)
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Statistical Mechanics and Entropy
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