A Conformal Geometric Reconstruction of Thermodynamics: Replacing Statistical Mechanics with Scale-Invariant Fractal Topology
Year: 2026
Type: article
Abstract: Theoretical physics has long maintained an uneasy ontological compromise, treating macroscopic thermal processes as smooth, continuous, and deterministic, while interpreting the microscopic scale as a chaotic, probabilistic arena1. This division between classical thermodynamics and statistical mechanics culminated in profound mathematical crises, most notably the vacuum catastrophe and the unphysical prediction of infinite density singularities during gravitational collapse1. Traditional frameworks rely on the assumption of a fundamental, finite spatial floor—such as an immutable Planck length—and the existence of ontological quantum randomness1. The conformal geometric framework resolves these contradictions by replacing statistical mechanics with a deterministic, scale-invariant, viscoelastic fluid plenum1. Within this model, what standard physics has historically interpreted as stochastic "quantum noise" or "thermal fluctuations" is mathematically reframed as an epistemological failure of observational resolution1. The apparent randomness of the micro-scale is the deterministic calculation of spatial divisions cascading endlessly from the universe's initial asymmetric anchor1. Within this 0-1 continuum, space, energy density, and time are not independent dimensions but synonymous expressions of a single, active engine of spatial fracturing1. Crucially, the evolution of this viscoelastic plenum is non-computable [cite: abstract]. Because standard Turing-complete computation is fundamentally bounded and cannot execute the infinite nesting of spatial divisions, the universe operates as a physical, non-algorithmic analogue engine [cite: abstract, 17]. This spatial fracturing is governed by the Chirality of Dynamic Emergent Systems (CODES) framework, which models the universe through structured resonance rather than probability1. The four laws of thermodynamics are re-derived not as statistical averages of billiard-ball molecular collisions, but as the rigid geometric consequences of this pressurized, conformal superfluid plenum1.
Author: Nasanjargal, Enkhamgalan
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7168247418