The Unified Field Theory

Abstract

This paper presents a complete, mathematically closed theoretical framework for a Unified Field Theory based on the quantized geometrodynamics of a discrete elastic vacuum network (the Quadrubit model). The core purpose of this work is to mathematically and conceptually validate the historical intuition of Albert Einstein, proving that his pursuit of a purely geometric Unified Field Theory was fundamentally correct. By reducing the complex tensor formalism of official science to the pure statics and kinematics of regular coordination tetrahedrons, the physical space of the Universe is proclaimed as a monolithic material body functioning as a bound gyroscopic medium. The model demonstrates that gravitational, electromagnetic, and quantum interactions are not independent forces, but direct structural projections of the elastic deformations of edges (longitudinal compression) and flat faces (transverse torsion) of an isolated Planck cell. A complete analytical deconstruction of the artificial macroscopic SI dimensions is performed. The law of cross-cutting conversion of rest mass into electrical charge for the lepton-baryon series is formulated, revealing the three-component T-shaped topology of the electron and the kinematic jam of counter-rotating phase fields during annihilation. For the first time, without the use of free empirical fitting parameters, a strict geometric derivation of the key world invariants is presented: Planck's constant h, the fine-structure constant alpha, and the Planck Hubble frequency H0. Complete trigonometric annihilation of the number pi inside the structure of the quantum of action is proven. Based on the maximum time of the system's wave backlash (tpmax), a precision value of Einstein's Cosmological Constant is calculated (Lambda = 1.096 x 10^-52 m^-2), demonstrating a 99.14% convergence with the final experimental data of the Planck space mission (ESA). Via the binary damping reductor of the macro-horizon (2^111), the exact value of the Hubble constant is computed (69.40 km/s/Mpc), completely eliminating the global crisis of the "Hubble Tension". This work delivers a finalized, stable, and rigid mathematical skeleton of the unified vacuum physics, directly realizing Einstein's ultimate scientific dream and opening it for further collaborative cross-disciplinary development by the global scientific community.