Empirical Predictions of Topological Spacetime Cosmology: Void Expansion Dynamics and Metric Anisotropy

Abstract

We present three falsifiable empirical predictions of Topological Spacetime Cosmology, a parameter-free geometric framework. The model derives cosmic acceleration strictly as a kinematic relaxation of the spatial metric as the macroscopic baryonic load dilutes, entirely eliminating the theoretical necessity for exogenous dark energy or dark matter parameters. We predict: (I) Void Expansion Dynamics: Deep within macroscopic cosmic voids, the local Hubble rate will bypass the standard average and converge explicitly to the unhindered topological metric baseline of H_base = 81.17 km/s/Mpc. (II) Metric Anisotropy: The macroscopic expansion rate will exhibit severe anisotropy, acting as an exact inverse function of line-of-sight baryonic density, in stark contrast to the isotropic assumptions of ΛCDM. (III) Standard Sirens Baseline: Expansion rates derived strictly from pure metric propagation via gravitational waves (standard sirens) will bypass photonic-baryonic friction, trending significantly higher than photon-based measurements and converging toward the 81.17 metric baseline. These predictions are testable within the near term by upcoming missions and surveys such as Euclid, JWST, and LISA.