Tension Field Theory: A Mechanical Constitution of Vacuum, Gravity, Quantum Structure, and Cosmic Kinematics

This manuscript establishes Tension Field Theory (TFT), a unified framework that models the universe as a strictly mechanical, visco-elastic continuum. TFT fundamentally replaces the abstract expanding geometries of General Relativity and the probabilistic wavefunctions of Quantum Mechanics with the discrete, dual-scale architecture of the Spacetime Gravitational Floor (SGF). In Part I, we define the active vacuum as a Face-Centered Cubic (FCC) lattice. We demonstrate that fundamental particles are topological phase defects, deriving inertial mass strictly from the hydrodynamic impedance of the interstitial condensate, and reinterpreting the "Dark Sector" as the inherent geometric packing fraction of this physical medium. In Part II, we redefine gravity as the restorative structural tension gradient (-∇τ) of this lattice. We eliminate non-physical mathematical singularities by modeling Black Holes as deterministic crystallographic phase transitions into a saturated Simple Cubic (SC) substrate, preserving quantum unitarity topologically through strict geometric phase segregation. Furthermore, we mechanize quantum dynamics, unifying the fundamental forces as distinct geometric projections of a single Scale-Invariant Mass Moment (J_i). In Part III, we project these solid-state mechanics to global cosmology, formally replacing the expanding FLRW metric. We model the genesis event as the Catastrophic Decompression of a globally percolated fault line (The Big Rupture), and demonstrate that cosmic redshift is driven by visco-elastic damping (Γ_D ≡ H₀). This mechanical lattice damping natively resolves the Hubble discrepancy and extracts the exact mathematical signature of Dark Energy without invoking negative pressure—ultimately proving the universe operates as a closed, perpetual macro-oscillator. Version 1.0. This monograph is a developing research framework establishing the conceptual architecture, topological phase rules, and macroscopic scaling laws of Tension Field Theory (TFT). In this initial version, several constitutive relations are formulated as effective phenomenological ansatzes calibrated to observational baselines. Later versions will refine these constitutive closures, correct errors, and introduce exact microscopic lattice derivations and observational tests, superseding the heuristic relations presented here. Once superseded, this foundational release will remain permanently archived as part of the scholarly record.