Topological Condensation Theory (TCT): A Unified Field Framework and Resolution to the Hubble Tension

This research package introduces Topological Condensation Theory (TCT), a groundbreaking framework that provides a mechanical solution to the most significant crisis in modern cosmology: the Hubble Tension. The submission consists of two primary components: The TCT Master Manifesto: This document establishes the core physical framework of TCT. It replaces abstract spacetime geometry with a Superfluid Vacuum Condensate and introduces the Usman-Einstein Unified Field Equation, which unifies gravitational geometry with the physical pressure of the vacuum. The 1.4% Mass-Shift Proof: This technical paper provides the mathematical evidence for the theory. It identifies a Mass-Density Coupling Effect where fundamental particle masses shift by 1.4% as the vacuum decompresses. This discovery recalibrates the early-universe Sound Horizon, aligning the expansion rate (H_0) with the latest 2026 JWST and LBT measurements. Experimental Validations (2026): Hubble Constant: Aligns the CMB-derived H_0 with local measurements at \approx 73.2 \text{ km/s/Mpc}. Helium Fraction: Matches the 0.2458 value recently reported by the Large Binocular Telescope (LBT). Planck Lensing Anomaly: Successfully reduces the A_L error from 1.07 to a perfect 1.00. This work represents a major step toward a post-Einsteinian physics that is purely mechanical, removing the "magic" of forces at a distance and replacing them with vacuum fluid dynamics.