Extended Classical Mechanics (ECM): A Deterministic Phase-Indexed Cosmology and Kernel-Based Grand Unification Framework

This paper introduces Extended Classical Mechanics (ECM), a deterministic emergence cosmology framework formulated on phase-frequency kernel ontology. The study proposes that universal structure, including matter, energy, spacetime projection, and gravitational response, may emerge from an underlying oscillatory existential field rather than from curvature-dominated geometric foundations. The ECM framework models primordial existence as a pre-geometric kernel vibration manifold characterized by phase-amplitude functional dynamics. Cosmogenesis is interpreted as a continuous deterministic transition from latent potential domain to manifested structural reality through gradient relaxation of kernel excitation fields. Core theoretical constructs include energy–frequency manifestation duality, mediating mass structure, finite universe manifold hypothesis, and attractor equilibrium closure of phase-energy functional systems. Gravitational interaction is reformulated as projection-response geometry arising from residual phase potential gradients. The model emphasizes sub-Planck scale emergence physics, where spatial and temporal metrics are treated as projection phenomena rather than fundamental ontological primitives. In this regime, superluminal initial transformation behaviour is interpreted as domain-internal phase redistribution rather than conventional spacetime signal propagation. The objective of ECM is to provide a conceptual deterministic framework for exploring universal origin structure, cosmic evolution ordering, and kernel-based grand unification synthesis within an existence-first theoretical paradigm.