Scale Dilation Formalization

Abstract The Scale Dilation Formalization paper (Schoff Operator = scale transformation acting on CRD; Invariant = ΔΦ (conserved subjectivity); Axioms = BCC axioms plus Invariant Agency postulate. The paper closes with the implication that the irreversibility of time, which standard physics cannot derive from its time-symmetric fundamental equations, is a structural consequence of ΔΦ's conservation at the Reflective Interface — making Dimension-W the formal ground of the arrow of time. Keywords: invariant agency, ΔΦ, freedom quanta, Dimension-W, Reflective Interface, scale dilation, observer-relative time, constraint renegotiation density, Noether's theorem, subjectivity conservation, arrow of time