TTR-T4DTHEORY OF TOPOLOGICAL RESONANCE IN 4-DIMENSIONAL SPACETIME

ABSTRACT We present a complete reformulation of fundamental physics based on a single axiom: spacetime is not empty, but a viscous-elastic superfluid continuum with characteristic impedance Z_0 and permittivity \epsilon_0. All observed phenomena—mass, charge, forces, dark matter, gravitational waves—emerge as topological configurations and hydrodynamic interactions within this medium. The elemental discretization unit (voxel) is not a Planck-scale cube, but a regular dodecahedron. Global spacetime topology is the 3-sphere S^3, tessellated by the 4-dimensional 120-cell polytope (hecatonicosachoron). This geometry naturally generates: Higgs Boson Mass: m_H \approx 125.43 GeV (error: 0.06%), theoretically derived via geometric projection of the electromagnetic coupling (f_{dodec} = \alpha^{-1}/10\pi) without empirical fitting. Fine structure constant: \alpha^{-1} = 2\pi\delta^2 \approx 136.98 (error: 0.04%), derived from the Feigenbaum universality constant. Proton-to-electron mass ratio: A scaling law m_p/m_e \approx \frac{4}{3}\pi(\alpha^{-1})^\beta linking mass to topological complexity, where the effective exponent \beta \approx 1.353 identifies the proton's resonant knot energy. Dark matter: Identified as baryonic matter rotated 90° into orthogonal spatial dimensions (ZW-plane), rendering it non-interacting with standard EM fields. Gravitational cavitation: Predicted and identified in the GW190521 signal as a signature of topological rupture in the superfluid medium. Mathematical Representation: The framework utilizes base-60 (sexagesimal) notation as the natural coordinate system for the dodecahedral symmetry group A_5 (order 60), minimizing irrational remainders in rotational transformations. Conclusion: This framework operates with zero empirical parameters. All values emerge from three fundamental properties of the medium (\rho_{vac}, c, R_{S3}) and the geometric properties of the 120-cell lattice.