The Law of Existence: Axis, Motion, and Circularity as Inseparable Triad of Persistence Validated Across 36 Orders of Magnitude and 13.8 Billion Years

ABSTRACT: This article presents the Law of Existence, a fundamental principle that establishes that the persistence of any physical system over time depends on the synchronization of an inseparable triad: Axis (spatial anchor), Motion (temporal action), and Circularity (geometric return). Unlike static states, existence is demonstrated as a dynamic process where the absence of any of these elements inevitably results in linear dissipation and entropy. Highlights of this Version 2. 0: Foundational Logical Proof: Formal demonstration that the Law of Existence is the logical counterpositive of the Second Law of Thermodynamics. Accepting dissipation in linear systems logically requires accepting persistence via axial circularity. Validation at 36 Scales: The principle is validated without exception at 36 orders of magnitude, from the subatomic level (10^-18 m) to galactic structures (10^26 m). Total Mechanical Energy Criterion: Formalization of the parameter E 0 (dissipation). Statistical and Logical Confidence: The work moves from empirical evidence (P < 10^-36) to logical necessity (), establishing a tautological truth grounded in geometry and classical physics. The Law of Existence resolves the paradox of how organized structures have persisted for 13. 8 billion years in a universe governed by entropy, identifying the Axis as the fundamental organizer of entropic flow.