Radial Emergent Metric (PSE‑Schwarzschild): Structural Extension of the PSE Framework

This Work extends the Structural Principle of Entanglement (PSE) by deriving the full saturating radial metric (PSE–Schwarzschild) from the emergent correlation Ce and the geometric projection map Φgeom. The resulting metric interpolates continuously between weak‑field and strong‑field regimes, remains fully regular, and satisfies the observational constraints of the double pulsar PSR J0737–3039A/B. This document provides the complete structural, mathematical, and phenomenological formulation of the radial emergent metric within the PSE framework.