Regular Simplex Hierarchical Gravity Part II: The Computational Universe: Deriving Spacetime, Light Speed, and Singularities from Infinite-Dimensional Simplex and Geometric Frustration

Einstein's special relativity postulates the constancy of light speed c as an axiom, yet provides no account of its origin. We reformulate the universe as a discrete geometric computational network operating at the Planck scale, wherein c emerges not as a fundamental constant but as the information-processing bandwidth of the network itself. The initial state---an infinite-dimensional regular simplex with Laplacian eigenvalue λ₂ = N---enforces cosmic uniformity without inflation, while informational Pauli repulsion, arising from the autonomous reconfiguration dynamics when infinite vertices are projected onto finite coordinates, drives both the Big Bang and present-day accelerated expansion as a single unfolding process. From finite bandwidth constraints alone, we derive the Light-Speed Resource Allocation Principle (LRAP): c² = v² + τ², partitioning computational bandwidth between spatial propagation v and internal state maintenance τ. The Lorentz factor reinterprets as a processing-lag ratio γ = c/τ, and the energy-momentum relation E² = (pc) ² + (m₀c²) ² emerges as a theorem rather than a postulate. Mass is identified as projection caustics---local concentrations of information density arising from imperfect 4D→3D mapping---while gravitational force is the spatial gradient of the geometric frustration potential, F = −∇Φ. Singularities are dissolved: they are not physical infinities but Dimensional Arrest zones---regions of asymptotic freezing where 3D rendering fails---naturally subsuming string theory and the holographic principle as effective descriptions within these arrested regions. Finally, the Gauss-Bonnet theorem proves that local optimization cannot eliminate the accumulation of the non-zero topological conserved quantity. When the effective packing fraction approaches the jamming criticality φc ≈ 0. 64, the universe undergoes hierarchical phase transitions that convert computational heat into structural entropy, thereby avoiding thermal collapse. This necessitates the six-stage jamming cascade detailed in Part III, which resolves the 122-digit cosmological constant discrepancy as arithmetic necessity.