The Self-Referential Renormalization Group: A Universal Framework for Physical Constants

We introduce the Self-Referential Renormalization Group ( ): a gradient-flow theory on the space of self-referential physical theories. The \ flow maximises a net viability functional F[S] = R[S] - C_Λ[S], where R[S] measures self-representation capacity and C_Λ[S] decomposes into closure, self-computation, and selector costs inherited from the No External Model Selection (NEMS)/PSC framework. The core results are: fixed-point existence via the Master Fixed-Point Theorem; monotonicity of F along the flow (an analogue of Zamolodchikov's c-theorem); linearised contraction rate 1/ where is the golden ratio; and an Information Profit Threshold ≈1.1309 at the fixed point, conditional on the PSC Landauer self-consistency hypothesis h_psc\_sc (grade [A^-]). The η-flow β-function β_η = κ(η- )(η-2) has an IR-stable fixed point at η= ; its algebraic uniqueness is machine-certified in Lean~4 (zero sorry). Conditional physical applications — including θ_QCD=0, N_gen=3, the electroweak VEV v_PSC=246.16GeV (grade~[A_Lean], zero sorry, zero open axioms), and structural exclusion of Planck-scale vacuum energy — are developed in the appendices, with all bridge hypotheses stated explicitly (Table~). The SRRG–MDL equivalence (Open Problem~9) identifies _S F[S] with _S K[S]; the algebraic core is machine-certified ( , 9\_catal\_unconditional, zero sorry, conditional on ). All formal theorems compile in -lean with zero proof-obligations.