This publication represents the fundamental, mathematically sealed, and final formulation of the Cascade Resonance Theory (KRT). This framework breaks radically with the inductive empiricism and statistical curve-fitting of modern Standard Models. Instead, it establishes a closed, strictly deductive, and parameter-free axiomatic system that describes the vacuum as a discrete, clocked 5D bulk-lattice (LKRT). By anchoring the mathematical structure exclusively to the exact metrological SI constants c (speed of light) and h (Planck constant), this work achieves a complete ab-initio derivation of fundamental constants (lP, tP, G, α⁻¹, e, kB, mₑ, m_μ) as pure hardware specifications of the cosmic grid. IMPORTANT NOTICE REGARDING PUBLICATION HISTORY: This standalone document supersedes and fundamentally reconceptualizes earlier preprints (specifically DOI: 10. 5281/zenodo. 18461793). All semi-empirical correction factors utilized in previous iterations have been rigorously eliminated. The deviation of the fine-structure constant is now derived entirely through transversal grid-slip (δSlip) and the thermal hardware noise of the measurement plane (entropic phase-jitter δJitter). Consequently, earlier preprints should be considered formally deprecated and superseded by this mathematically convergent framework. Key Breakthroughs of this Paper: The Sealing of G and α⁻¹: The inverse fine-structure constant is derived from the topological degrees of freedom of the 5D grid (ΦGeo = 138) minus geometric and entropic friction, achieving absolute numerical convergence with the experimental CODATA-2022 value. The Gravitational Constant G is deduced as the finite bulk shear modulus via a convergent impedance series. Geometric Dissolution of the Dark Sector: We demonstrate that Dark Matter is a non-material metric boundary layer of the dimensional transmission operator (T = 0. 6), while Dark Energy is exposed as a pure coordinate-based volumetric dilation pressure (d³ ≈ 1. 076394). Deterministic Prediction of the Muon g-2 Anomaly: The subatomic deviation is explained not by infinite QED loop corrections, but as a macroscopic quantization slip (ε ≈ 0. 001222) arising during translation through the discrete lattice network. Abstract: We present the Cascade Resonance Theory (KRT), a strictly deductive geometric framework unifying localized particle mechanics with macroscopic cosmology by modeling the vacuum as a discrete, clocked 5D bulk-lattice (LKRT). Operating as a closed axiomatic system, KRT derives the fundamental Lagrangian (LKRT) without empirical parameter fitting. By anchoring the dimensionless 5D grid exclusively to the exact metrological constants c and h, KRT translates continuous field approximations into discrete hardware specifications, achieving an exact, parameter-free derivation of physical constants. We demonstrate that Dark Matter and Dark Energy are emergent artifacts of 5D-to-3D projections (T = 0. 6, d³), effectively dissolving the dark sector. Furthermore, formalizing the quantization slip (ε) and localized entropic phase noise natively predicts the Muon g-2 deviation and the exact fine-structure constant convergence as deterministic artifacts of 5D grid geometry.
Manfred Alexander Häusler (Thu,) studied this question.