Bounded Spectral Topology and the Cosmic Covariance

The revised manuscript establishes an exact, discrete foundation for cosmic topology, resolving four central observational anomalies through the geometry and compressibility of the 861-node vorton lattice: Substrate Rigidity and Simplicial Capacity: Grounds the COMPACT cosmic topology program in a discrete three-torus constructed from an 861-node simplicial lattice. The structure is mathematically locked against domain bifurcation by the maximal class-number-one Heegner field and maps isomorphically to the distance-regular forty-two-element Johnson graph. Low-Multipole Power Suppression: Establishes a strict infrared wavenumber cutoff enforced by the finite fundamental domain of the three-torus. Because wavelengths exceeding the torus dimension cannot exist, the primary transfer peak for the cosmic microwave background quadrupole is truncated, explaining the anomalous large-scale power deficit. Hubble Tension Resolution: Identifies the one-billion-meter acoustic Jeans scale as the physical boundary between early-universe phase locking and late-time domain decoupling. Across this threshold, discrete phase slippage introduces an exact thirteen-twelfths fractional boost, lifting early-universe expansion baselines to seventy-three kilometers per second per megaparsec to match local distance-ladder measurements. Cosmic Dipole Anomaly: Resolves the factor-of-two matter number-count dipole excess through differential lattice drag. Massless radiation traverses the substrate with minimal resistance, whereas massive baryonic defects couple directly to the discrete three-dimensional coordination sphere, amplifying the kinematic dipole via the Ellis-Baldwin operator. Cosmic Acceleration Switch: Derives late-time cosmic acceleration from vacuum compressibility governed by a quadratic expansion law, eliminating the need for dark energy scalar fields and predicting the transition from cosmic deceleration to acceleration at a redshift of approximately zero point three zero.