Relational Cut Dynamics: Deductive Closure from Dagger-Monoidal Axioms to Spectral Spacetime and the Standard Model

This preprint presents Relational Cut Dynamics, a proposed deductive framework beginning with five primitive relational axioms and an inductive compatibility closure operator. The manuscript develops connections between dagger-monoidal structures, operator-algebraic probability, Fisher–Rao and Fubini–Study geometry, emergent complex structure, spectral geometry, cut gluing, Bargmann spacetime, Clifford modules, gauge symmetry, and Standard Model quantum numbers. The research manuscript in PDF format, its LaTeX source, and an accompanying Lean source file are all included.