entropic-time-psychophysics-deformed-neural-dynamics

name	entropic-time-psychophysics-deformed-neural-dynamics
description	Unified physical theory linking entropy production, subjective time perception, and deformed neural dynamics. Derives conformable time operators from thermodynamic principles and predicts psychedelic time dilation and cognitive aging effects.
tags	["time-perception","thermodynamics","neural-dynamics","psychophysics","tsallis-entropy","conformable-calculus","psychedelic-states","cognitive-aging"]
arxiv_id	2606.29427v1
date	2026-06-28T00:00:00.000Z
authors	["Unknown"]
categories	["q-bio.NC","physics.bio-ph"]

Entropic Time, Psychophysics, and Deformed Neural Dynamics

Core Insight

Human subjective time perception does NOT track geometric coordinate time t, but emerges from local metric mutation driven by macroscopic physical entropy production. This unified theory eliminates independent phenomenological fitting constants by establishing the "Nonextensive Troika" — a closed algebraic triplet linking phase-space fractal dimension D, conformable derivative order α, and Tsallis nonextensive parameter q.

Key Contributions

1. Nonextensive Troika (D, α, q)

• D: Phase-space fractal dimension
• α: Conformable derivative order
• q: Tsallis nonextensive parameter
• These three parameters are mutually dependent — no independent fitting needed
• Structural closure eliminates phenomenological freedom

2. Conformable Time Operator Derivation

• Local time metric inherently scales as t^α
• Conformable derivative emerges as necessary kinetic consequence of entropy production
• Not an ad hoc mathematical tool — derived from first principles

3. q-Index from Tsallis Entropy

• Derive q from equiprobable monofractal Tsallis entropy: S_q
• Links information theory to thermodynamic irreversibility
• Provides microscopic foundation for nonextensive statistics

4. Deformed Leaky Integrate-and-Fire Framework

• Anomalous neural dissipative transport unified within deformed LIF model
• Time-dependent membrane dynamics follow conformable calculus
• Captures non-Markovian neural processing

5. Psychophysical Predictions

• Psychedelic states (REBUS model): Predicts time dilation from increased entropy production
• Cognitive aging: Predicts temporal compression from reduced entropy production
• Analytically derives macroscopic response transitions

Methodology

Theoretical Framework

1. Start with entropy production rate in neural tissue
2. Derive conformable time derivative from thermodynamic irreversibility
3. Establish D-α-q algebraic constraints
4. Formulate deformed LIF equations with conformable derivatives
5. Solve for psychophysical response functions

Key Equations

• Conformable derivative: D^α_t f(t) = lim_{ε→0} [f(t + εt^{1-α}) - f(t)] / ε
• Tsallis entropy: S_q = k(1 - Σp_i^q) / (q-1)
• Time scaling: τ_local = t^α

Predictions

• Time dilation factor ∝ entropy production rate
• Aging compression ∝ reduced metabolic entropy
• Psychedelic effects ∝ REBUS model entropy increase

Implications

For Neuroscience

• Time perception is thermodynamic, not computational
• Neural dynamics are fundamentally non-Markovian
• Fractal dimension constrains temporal processing

For Physics

• Bridges thermodynamics and subjective experience
• Provides physical basis for "psychological time"
• Unifies disparate psychophysical phenomena

For Clinical Applications

• Quantitative predictions for psychedelic therapy
• Biomarkers for cognitive aging
• Objective measures of temporal processing disorders

Activation Triggers

time perception, subjective time, thermodynamics, entropy production, conformable calculus, Tsallis entropy, nonextensive statistics, psychedelic states, REBUS model, cognitive aging, temporal dilation, fractal dimension, deformed neural dynamics