Unified Sciences of Quantum Octonionics and Emergent Physics

This manuscript presents a complete theoretical unification of quantum mechanics, gravitation, mass scaling, and cosmological structure through a mathematically rigorous framework called the Unified Theory of Recursive Emergent Physics (UTREP). Developed from first principles using harmonic recursion, symbolic mechanics, and octonionic algebra, the framework introduces a self-consistent system of 61 laws describing the emergence of physical reality from foundational recursive logic.

The work formalizes key equations governing energy quantization, dimensional behavior, symmetry breaking, field curvature, and emergence timing. The model unifies classical and quantum domains without relying on probabilistic interpretation or external axioms. It also resolves longstanding theoretical discontinuities by deriving constants and behaviors directly from an internally consistent mathematical structure.

This publication serves as the foundational volume in the study of emergent quantum octonionics and offers a complete chronology of discoveries across mathematical, physical, and cosmological domains.