Beyond Causality: Tomography of Global Spacetime Geometry

Within the ontological theory identifying dark matter with causal disconnectivity in Absolute Being (AB) [1], a central methodological challenge is whether the full geometry gµν of AB can be reconstructed from its causally limited projections. This paper completes the theoryьby deriving the explicit form of the causal projection operator PΘ from the Principle of Minimal Distortion, yielding a dynamical equation for the connectivity function Θ. We then prove the fundamental solvability of the inverse problem–causal tomography of AB–by demonstrating in a minimal isomorphic model that a family of projection ”shadows” {ge(i)}, obtained with the known PΘ, uniquely determines the original metric g. This transforms the ontological framework into a concrete mathematical and empirical program: the operator PΘ is now defined, and the recovery of the global spacetime geometry from observable projections becomes a well-posed inverse problem. Thesteps toward implementing tomography in full 4-dimensional general relativity are outlined.