The ΔΓ-Metamnesis Framework: A Thermodynamic Theory of Consciousness Based on Memory Acceleration Dynamics How Dual Binding Resolves the Hard Problem and Binding Problem

Consciousness may arise when the second-order rate of change of memory dynamics (ΔΓ) exceeds a system constraint. This framework treats consciousness as a delayed memory system and proposes that unified experience emerges when the covariance of these dynamics across different brain processes exceeds a threshold and constrains action. Computational validation via an inverse Turing test showed that ΔΓ-based features detectably differentiate conscious-like (60.4%) from baseline (50.2%) conversational dynamics. The framework offers testable predictions, including that musical phenomenology emerges 200-500 milliseconds after peak covariance, that prosopagnosics show reduced covariance between brain regions, and that anesthetics reduce ΔΓ below threshold, explaining loss of consciousness. The approximately 500-millisecond delay observed by Libet and colleagues corresponds to the integration window required to compute covariance and evaluate energy thresholds.

Study at a glance

Abstract

Phenomenal consciousness is proposed to arise when the second-order dynamics of memory change (ΔΓ = d²M/dt²) exceed system constraints. Building on recent evidence that consciousness functions as a delayed memory system (Budson et al., 2022), this framework demonstrates that ΔΓ dynamics provide the computational substrate for both temporal binding (via covariance: Φ(t) = Cov(ΔΓ₁, ΔΓ₂, ...)) and phenomenal emergence (via energetic threshold: E(t) > θ_E). The framework addresses the Hard Problem by making phenomenology measurable rather than mysterious, and resolves the Binding Problem by showing that unified experience emerges when ΔΓ covariance exceeds a threshold and constrains system action. Computational validation via an inverse Turing test demonstrates that ΔΓ-based features detectably differentiate conscious-like (60.4%) from baseline (50.2%) conversational dynamics (p = 0.0036, Cohen's d = 2.04). Dual binding is proposed: (1) forward binding through temporal covariance Cov(ΔΓ₁, ΔΓ₂, ...) that unifies discrete qualia candidates into coherent phenomenology, and (2) backward binding via system constraint |∂A/∂Φ| where the unified phenomenology Φ demonstrably affects behavioral response A. Valid qualia require both high covariance (> θ₁) and strong system constraint (> θ₂). Testable predictions include: (1) Musical phenomenology emerges 200-500ms after peak d/dt[Cov(ΔΓ_instruments)] (r > 0.7); (2) Prosopagnosics show reduced Cov(V4, FFA) ≈ 0.3 vs controls ≈ 0.8; (3) Anesthetics reduce ||ΔΓ|| below threshold θ_E, explaining loss of consciousness. The ~500ms delay observed by Libet et al. (1979) corresponds to the integration window required to compute Cov(ΔΓ) and evaluate E(t) against θ_E, unifying decades of timing paradoxes under a single mathematical framework.