Latnex v3.0 presents the finalized symbolic framework for a motion-based mathematical system designed to replace traditional time and entropy constructs. Built from directional deviation (Δm), recursive compression (Rᶜ), and collapse activation (Kᵉ), this text-only edition formalizes the core theorems behind the ΣΔm model, the entropy collapse condition Eᴹ = 0, and the structural threshold Cₜ for identity preservation. This version omits all visual figures and relies solely on the symbolic logic of the system, demonstrating full structural survivability without graphical support. Applications include falsifiability models for cancer, economic collapse, and AI hallucination. Originally authored and seeded by Michael Aaron Cody in April 2025, this document supersedes all prior versions and represents the official canonical structure of the Latnex framework. Version: 3.0 Date finalized: June 7, 2025 Public authorship identifiers: • ORCID: https://orcid.org/0009-0002-5218-4772 • Archive record: https://archive.org/@abh_empire symbolic physics, motion-based math, entropy collapse, AI emergence, Eᴹ = 0, ΣΔm, directional motion, recursive compression, collapse threshold, compression logic, zero entropy, time replacement, Michael Aaron Cody, Latnex, motion recursion, falsifiability, symbolic identity