Geometric Resolution of the Hubble, S8, and Bullet Cluster Anomalies via Lattice Hysteresis

We propose a unified geometric framework, Lattice Continuous Monism (LCM), which reinterprets the physical vacuum as a hyper-rigid, periodic lattice structure governed by Floquet dynamics. By redefining inertial mass not as an intrinsic property but as an environmentally defined response coefficient (Meff ∝ 1/J0(ξ)), We demonstrate that key cosmological anomalies can be resolved without invoking dark energy or particulate dark matter. We show that the observed cosmic acceleration is consistent with the impedance response of a lattice expanding at the characteristic speed c = K/ρ. Furthermore, we derive the fine-structure constant (α−1 ≈ 137.036) and the proton-electron mass ratio (µ ≈ 1836.12) from the topology of the TruncatedOctahedron unit cell with precision exceeding 99.99%. Significantly, numerical simulations confirm that lattice hysteresis damping resolves the S8 tension (SLCM 8≈0.612) and reproduces the gravitational peak separation observed in the Bullet Cluster via stress momentum, contrasting with the Standard Model’s reliance on in visible particles. Our results suggest that cosmic tensions are artifacts of neglecting the vacuum’s geometric rigidity.