Data Physics and Anticipatory Entropic Coupling - Part III: THE THERMODYNAMIC & CYBER-PHYSICAL SCALE Informational Entropy Flux and Non-Equilibrium Dissipation Bounds: Discrete Execution Integrals, Landauer Limits, and Microscopic Substrate Coupling
Year: 2026
Type: article
Abstract: . Classical computer science abstracts the physical execution of algorithms, treating temporal logic as an extrinsic, monotonic parameter isolated from the thermodynamic state of the host substrate. While the Landauer principle establishes a fundamental microscopic bound for information erasure: ΔQ_min = k_B · T · ln 2 contemporary hyperscale computing is constrained by macroscopic non-equilibrium thermodynamics, where informational entropy flux acts as a high-frequency control vector driving irreversible Joule heating. This paper establishes the formal thermodynamic foundation of the Data Physics framework. We demonstrate that when algorithmic state transition frequencies generate localized heat fluxes (q'') that exceed the linear transport and structural relaxation rates of the thermal-hydraulic bath, the computational substrate enters a Non-Equilibrium Steady State (NESS) characterized by extreme entropy production rates (σ_s). To formalize this constraint, we introduce the Cyber-Physical Execution Invariant, a path-dependent integral proving that algorithmic runtime (t_exec) is not an independent logical parameter, but a functional strictly governed by the localized fluid dynamics (Navier-Stokes constraints) of the cooling medium: t_exec = ∫₀^{I · CPI} [ 1 / f( T_j(t(C)), ṁ_fluid(t(C)), ΔP_micro(t(C)), α_void(t(C)) ) ] dC = I Furthermore, we analyze non-equilibrium work via the Jarzynski equality to prove that deterministic computational execution over finite time bounds fundamentally requires Anticipatory Entropic Coupling - the proactive restructuring of the hydrodynamic phase space prior to computational heat dissipation.
Author: Olszewski, Rajmund
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220916128