G: Foundations and Gravitational Evidence — The Being Tax, the Causal Skeleton, the Tiling Scaffold, and Gravitational Dimensional Collapse

The foundational principles of the Network Emergent Architecture (N.E.A.) framework, with its first empirical validation. The universe is modeled as a discrete causal graph. In the final formulation of B, global conservation of enthalpy, least action, and finite bandwidth are derived theorems from a single logical primitive; this paper retains the earlier presentation for continuity. Each node has finite bandwidth B=1, imposing an irreducible Being Tax and mandating a universal 1D Skeletal Connectivity. We prove that the enthalpy decomposition Q = U + pV emerges from spectral localization via the inverse participation ratio, without additional postulates. The C8 cubic tiling is identified as the unique spatial scaffold in three-dimensional Euclidean space, with the photon as the sole fundamental carrier of interaction. Gravity is the inter-cell stitching mode of this photon on the C8 scaffold. Its long range and extreme weakness follow from a single geometric fact: the cube successfully tiles space, diluting the stitching rent across an infinite translational symmetry group. In low-density environments, the stitching density drops, causing local tiling failure and a gravitational dimensional collapse from q=2 (Newtonian) to q approaching 1 (MOND-like). Short-distance gravity is governed by bandwidth freezing at phi=0.5, as developed in K and N. We validate this dimensional collapse model on 138 SPARC galaxies and a blind test on UGC 128, reproducing galaxy rotation curves without dark matter. The work also presents discrete graph experiments on Rindler horizons, anisotropic transport, sparse graph limits, and holographic area laws, demonstrating gravity as an emergent, dimension-dependent phenomenon. Dark matter is reinterpreted as a geometric artifact. No new particles are required. Open Problem OP-2 has been formally closed by M; this paper provided early numerical and observational motivation for the mechanism later proved there. OP-1 is closed by H, OP-4 is mechanistically complete, and OP-5 remains open.