This work extends the unified mathematical framework of the Universal Kaleidoscopic Filter Theorem to demonstrate that continuous spacetime, quantum mechanics, Standard Model gauge charges, and gravitational waves can be strictly derived as emergent thermodynamic properties from the discrete combinatorics of integer partitions. By applying the algebraic coefficients of Weyl reflections to unrestricted partition sequences p (n), the filter operator Kₖ topologically annihilates lower-dimensional boundary noise. We show that the surviving log-concave macroscopic states naturally enforce relativistic causality, define the arrow of time, regularize ultraviolet divergences, and govern gravitational waves as collective vibrational density modes of the partition lattice. Exact topological derivations are provided for the Fine-Structure constant, the Weinberg weak mixing angle, the muon magnetic anomaly (g-2), Newton's Gravitational Constant G, the exact Proton mass, and flavor mixing matrices. Crucially, this framework introduces the geometric resolution to the Vacuum Catastrophe, strictly deriving the 10^120 correction factor, mathematically deduces the Dark Matter to Baryon ratio (5. 36), resolves the cosmological Hubble Tension, provides a physical proof of the Riemann Hypothesis via vacuum stability, derives the exact Bekenstein-Hawking black hole entropy, and yields Quantum Gravity. Finally, we propose a novel table-top non-interferometric detector for gravitational waves and provide an exhaustive set of empirical data tables and a Python algorithm to guarantee absolute experimental falsifiability.
Antonio Bonelli (Sun,) studied this question.