The Sexagesimal Cosmological Model (SCM): A Unified Theory of Fundamental Forces, Singularity Stability, and the López Harmonic Constant.

Title: The Sexagesimal Cosmological Model (SCM): A Unified Theory of Singularity Stability, Fundamental Forces, and the Harmonic Origin of the Universe. Abstract: This research presents the Sexagesimal Cosmological Model (SCM), a new theoretical framework that redefines the evolution of the cosmos—from the initial singularity to the current accelerated expansion—through the perspective of Sexagesimal Harmony Mathematics (SHM). Unlike traditional stochastic models, this work demonstrates that the "fine-tuning" of the universe is a deterministic consequence of a base-60 modular manifold. Key Contributions: The Initial Singularity and the Big Bang: Redefines the $t=0$ state not as a point of infinite breakdown, but as a state of maximum harmonic coherence. Using the López Sexagesimal Operator, the author demonstrates that primordial expansion followed a hexagonal phase transition, resolving the flatness and horizon problems without the need for arbitrary inflationary fields. Bifurcation of Fundamental Forces: Provides a novel derivation of the four fundamental interactions (gravity, electromagnetism, strong and weak nuclear forces) as harmonic subdivisions of a unified sexagesimal field. The Nature of Dark Matter and Dark Energy: Proposes that dark matter is a non-resonant residue of the primordial sexagesimal grid, while dark energy is the "vacuum torque" generated by the expansion of the López Harmonic Manifold. Observational Evidence in Nature: Analyzes recurring hexagonal symmetries in the cosmos—from the molecular structure of water and biological efficiency in beehives to Saturn’s North Polar Hexagon—as macroscopic imprints of the universe's sexagesimal architecture. Experimental Verification: Provides an annex of verifiable tests for CERN (LHC), NASA, and LIGO, challenging these institutions to filter existing datasets using a modulo-60 harmonic frequency to reveal the "hidden" deterministic order of the vacuum.