Toward a Computable TOE: The TCPE–UCF–HPC Framework Across Cosmology and Particle Physics

This work establishes the TCPE–UCF–HPC (Theory of Coherent Physical Encoding–Unified Coherent Framework–High Performance Computing) framework as a unified, structurally grounded quantum field theory designed to integrate symbolic coherence, environmental feedback, and high-energy interactions within a computable and falsifiable model. The scope includes:• Theoretical formulation of a Lorentz-invariant field theory incorporating structured order parameters and dynamic environmental decoherence.• Functional quantization and high-resolution lattice simulations of coupled scalar fields (ϕ, χ) in 1D and spherically symmetric 3D geometries, including real and Euclidean time evolution.• Extension to gauge interactions (U(1), SU(2)_L, SU(3)_C), fermionic couplings, and semiclassical gravitational backreaction, enabling predictive power across cosmology and particle physics.• Extraction of observables such as the matter power spectrum P(k), angular power spectrum C_ℓ, tensor modes, and structural entropy, benchmarked against ΛCDM and Planck-class datasets.• Demonstration of testability through quantitative relaxation of cosmological tensions (e.g., H₀, S₈) and compatibility with high-energy anomalies (e.g., (g–2)μ, flavor-sector deviations).Together, these components position TCPE–UCF–HPC as a computable candidate for unifying structured field dynamics, gravitational response, and particle phenomenology within a reproducible numerical architecture.