The prevailing assumption of a continuous spacetime manifold inherently generates intractable mathematical infinities and necessitates empirical, ad-hoc parameters—notably Dark Matter and Dark Energy. This paper formulates the Topological Lattice Dispersion (TLD) framework, a parameter-free Effective Field Theory (EFT) wherein the vacuum operates as a causal, discrete tetrahedral grid. By replacing the continuum with discrete kinematics, we mathematically demonstrate that major cosmological and quantum anomalies emerge strictly as the elastodynamic resolution of irreducible geometric frustration (the ~7. 35° Regge angular deficit). Microscopically, the discrete Boerdijk-Coxeter geometry fundamentally breaks spatial parity, providing a topological filter against antimatter, while Dirichlet boundary constraints at the simplicial apex organically dictate SU (3) Color Confinement. Furthermore, circumvention of Derrick’s Theorem permits the elastostatic emergence of rest mass and a 720° Spin-1/2 resonance. Macroscopically, applying Euler-Lagrange calculus to the dynamically updating grid proves that continuous volume generation strictly necessitates a D'Alembertian drag, mechanically deriving Dark Energy (w -> -1), the Cosmological Constant (Lambda), and the thermodynamic Arrow of Time. By converting continuous cosmological expansion into a discrete topological update frequency, we analytically derive the fundamental MOND acceleration limit (a₀ ~ 1. 08 x 10^-10 m/s²), reproducing flat galactic rotation curves via hyperelastic strain-hardening without non-baryonic particles. Validated against 2, 700 SPARC data points (reduced chi-square ~ 0. 97), the TLD framework provides falsifiable predictions for Ultra-High-Frequency Gravitational Waves, dissipative X-ray fluctuations in supernova remnants, and Lorentz Invariance Violation.
Frank Sutter (Wed,) studied this question.