The Registration Graph

A deductive framework built from a single axiom with four conditions: existence is registration, registration is all there is, registration capacity is continuous, and registration events are discrete. From these premises alone, twenty-two theorems derive core structures of physics — including irreversible generativity, dimensional asymmetry between one irreversible and multiple reversible axes, lossy compression, complex amplitude with U(1) phase, superposition, the Born rule as |A|², complementarity, minimum action, the second law of thermodynamics, discrete phase-coherent spectra, and conserved charges (U(1) and ℤ₂). No additional postulates are introduced. An appendix provides the full dependency graph for all results.