Relative Determinism: A Formal Framework of Computational Asymmetry, Phase Transitions, and System Dynamics
Year: 2026
Type: preprint
Abstract: This paper establishes a formal framework of relative determinism, demonstrating that determinism is not an intrinsic property of objective reality, but a relational variable governed by the ratio of computational capacities between an avant-garde agent and a lagging observer. Utilizing set-theoretic cardinality bounds, differential dynamics of capacity growth, and formal verification in Lean 4, we analyze entropy reduction at the continuum boundary and classify system behavior at bifurcation points into cyclical leadership inversion and topological branching.
Author: Sklyarov, Dmitrii
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225411963