Projected Criticality Correspondence in Deficit-Fractal Governance

This working paper develops the projection and interface layer of the Deficit-Fractal Governance framework. It explains how the finite spectral core of Paper 1 projects into companion DFG sub-theories through a four-layer architecture: fractal substrate, interaction field, spectral instability, and observable projections. The paper reformulates the historical “pentaequivalence” structure as a projected criticality correspondence rather than an algebraic equivalence. The exact critical condition is λV=0\lambda_V = 0λV=0, while S[V]≈1S[V] \approx 1S[V]≈1, κA≈1\kappa_A \approx 1κA≈1, Ω^≈1\hat{\Omega} \approx 1Ω^≈1, and zeta-related markers are treated as calibrated or conjectural projections. The zeta/log-periodic component is explicitly isolated as a Paper 6 conjectural bridge and is not used as a finite-core or empirical claim. This is Paper 2 of the six-part DFG Unified Interaction Field Theory Series.