The Coherence Compression Equation: A Substrate-General Mechanism for Information-Theoretic Coherence with Measurable Ground State
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2026
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| _version_ | 1866901511486832640 |
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| author | Swenson, Christopher Conta, Erika |
| author_facet | Swenson, Christopher Conta, Erika |
| contents | <p>A candidate compression equation for structural coherence in information-processing substrates. The target coherence C* = M·I / (M·I + Pp + Pt) is natively bounded on [0, 1) by construction, with parasitic load constrained thermodynamically by Landauer's principle. The deterministic core extends into a probability density formulation via Fokker-Planck evolution with Ornstein-Uhlenbeck drift toward C* and diffusion with structural boundary conditions vanishing at both C=0 and C=1. The collapse condition ω·variance^(3/2) ≥ ΔV closes when the product of kinetic driving frequency and variance exceeds the potential well depth derived by integrating the drift. Three phases following collapse are distinguished with explicit transition conditions, with the phase boundary ε defined as the substrate's baseline noise floor. The cleared-baseline state is named as the equation's predicted ground state, tested through gradient-ordering across operators with diverse worldview content. The coherence-versus-truth distinction is named as the enabling condition for the ground state to be substrate-general: coherence is internal alignment over metabolized data rather than correspondence with universal truth, which makes the ground state a property of alignment itself rather than a property of any particular content. The equation is operationalized in the biological substrate through interhemispheric synchronization measured by consumer-grade EEG, with a single-operator eight-session dataset including one documented phase transition under independently-confirmed acute load presented as preliminary empirical anchor. The form is dimensionally sealed, physically constrained, and substrate-general; the constants are substrate-specific and empirically recoverable. The compression is the hook. The mechanism is the claim. The validation is the work.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20100715 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Coherence Compression Equation: A Substrate-General Mechanism for Information-Theoretic Coherence with Measurable Ground State Swenson, Christopher Conta, Erika Coherence-Friction Framework Landauer's principle Fokker-Planck Ornstein-Uhlenbeck Kramers escape information theory thermodynamics phase transition collapse dynamics ground state parasitic load <p>A candidate compression equation for structural coherence in information-processing substrates. The target coherence C* = M·I / (M·I + Pp + Pt) is natively bounded on [0, 1) by construction, with parasitic load constrained thermodynamically by Landauer's principle. The deterministic core extends into a probability density formulation via Fokker-Planck evolution with Ornstein-Uhlenbeck drift toward C* and diffusion with structural boundary conditions vanishing at both C=0 and C=1. The collapse condition ω·variance^(3/2) ≥ ΔV closes when the product of kinetic driving frequency and variance exceeds the potential well depth derived by integrating the drift. Three phases following collapse are distinguished with explicit transition conditions, with the phase boundary ε defined as the substrate's baseline noise floor. The cleared-baseline state is named as the equation's predicted ground state, tested through gradient-ordering across operators with diverse worldview content. The coherence-versus-truth distinction is named as the enabling condition for the ground state to be substrate-general: coherence is internal alignment over metabolized data rather than correspondence with universal truth, which makes the ground state a property of alignment itself rather than a property of any particular content. The equation is operationalized in the biological substrate through interhemispheric synchronization measured by consumer-grade EEG, with a single-operator eight-session dataset including one documented phase transition under independently-confirmed acute load presented as preliminary empirical anchor. The form is dimensionally sealed, physically constrained, and substrate-general; the constants are substrate-specific and empirically recoverable. The compression is the hook. The mechanism is the claim. The validation is the work.</p> |
| title | The Coherence Compression Equation: A Substrate-General Mechanism for Information-Theoretic Coherence with Measurable Ground State |
| topic | Coherence-Friction Framework Landauer's principle Fokker-Planck Ornstein-Uhlenbeck Kramers escape information theory thermodynamics phase transition collapse dynamics ground state parasitic load |
| url | https://doi.org/10.5281/zenodo.20100715 |