The Time-First Cosmological Theory (T. St. Denis, 2026) proposes that eternal time exists as a pre-axiomatic infra-vacuum substrate, forming the causal foundation for all universes. This theory builds on and adds to existing physics equations to model universe creation, evolution, and residual effects. It summarizes: Eternal time as the infra-vacuum substrate Universe ignition from extremely rare alignments of threshold excitations Black holes as infra-vacuum energy concentrations Multi-universe branching driven by residual excitations Special alignment mechanisms, including wheels and toe temporal leakage Dissipation of residual energy and eventual reset of the infra-vacuum substrate Continuous time allowing future universes and rare full-scale ignitions This framework integrates logical reasoning, physics principles, and mathematical modeling to extend current cosmological understanding.