The Geometric Origin of Inertia and Unification A Zero-Parameter Analytic Program of Absolute Kinematics

This paper is the closure of the Absolute Kinematics Law, with previous works being 10.5281/zenodo.18358444, 10.5281/zenodo.18358490. This study proposes a novel physics framework—the Absolute Kinematics Postulate—whose core is to define inertia as an intrinsic property of spacetime geometry. This program is based on a single, irreducible absolute kinematic axiom: the magnitude of the proper four-acceleration of all observers is constant, aµaµ = α²₀. The central claim of this paper is that inertia is not an intrinsic property of matter, but a geometric impedance imposed by the α₀ geometry on topological perturbations. This single mechanism achieves a zero-parameter, analytic unification of the mass spectrum of microscopic particles and macroscopic cosmological effects. We demonstrate: • Microscopic Structural Inertia: Particle mass originates from the microscopic structural inertial impedance that the α₀ geometry imposes on the worldline knots (topological perturbations) of fermions, analytically locking the values of MW , MZ, MH, and replacing the Higgs mechanism. • Macroscopic Inertia Correction: The Super-Newtonian effect in cosmology is an inevitable consequence of the nonlinear inertia correction (Background Inertia) at the α₀ scale, quantitatively eliminating the need for dark matter particles, and locking Λ as the intrinsic curvature of the α₀ geometry. • Zero-Inertia Modulus: The photon is identified as a strictly zero-inertia (I = 0) geometric modulus, whose propagation speed is necessarily equal to the limit of spacetime causality c. • Topological-Geometric Invariant: The fine-structure constant α is analytically derived as a purely topological-geometric invariant, with the analytic form 1/α = 4π³ + π² + π.