Macroscopic Elastodynamics of the Discrete Vacuum: Cosmological Observables

The macroscopic elastodynamics of the discrete H4 (600-cell) Cosserat vacuum are applied to resolve four major cosmological anomalies without the introduction of novel particles or ad-hoc phenomenological parameters. First, we demonstrate that the Farrah et al. (2023) observational k = 3 cosmological coupling of supermassive black holes is a mandatory geometric response; as the 4D bulk tension expands the 3D topological boundary, rigid event horizons (macroscopic Frenkel yield states) must absorb structural strain proportionally to a^3. Second, we demonstrate that the intrinsic left-isoclinic Hopf chirality of the vacuum geometrically forbids inversion symmetry, establishing a non-centrosymmetric optical medium (χ^(2) ≠ 0). Consequently, we reinterpret the disputed 3.55 keV dark matter emission line not as spontaneous particle decay, but as the Spontaneous Parametric Down-Conversion of 7.1 keV acoustic phonons driven by macroscopic lattice shear (κ). This natively explains its systematic non-detection in quiet dwarf spheroidal galaxies (static acoustic strain) and establishes falsifiable predictions, including targeted archival Chandra observations of merging dwarf binaries (e.g., the Mirabilis system) and highly redshifted 7.10 keV harmonic backgrounds from the early universe. Third, we resolve the Final Parsec Problem by establishing supermassive black hole mergers as kinetic transducers, geometrically forcing 80% of their dissipated orbital energy into the 96 hidden nodes of the bulk to actively excite the pre-existing dark matter halo. Finally, we resolve the 10^120 Cosmological Constant divergence via the strict ultraviolet cutoff of the fundamental lattice grain (L ≈ 1.52 l_P), geometrically deriving the observed Dark Energy density (ρ_Λ ≈ 2.17 x 10^-47 GeV^4) purely as the thermodynamic elastic relaxation of the 4D vacuum expectation value. Email: h4collaboration@protonmail.com