Scalar Drag Emergence Framework (SDEF) is a coherence-first nonlinear transport framework in which persistent structures emerge from recursive transport organization, ancestry persistence, adaptive feedback, and bounded regime-dependent dynamics. The framework introduces a coupled transport-memory PDE system: d2phi/dt2 = div (g grad (phi) ) - lambda phi³dM/dt = (|grad (phi) | - M) /taug = M |grad (phi) | / (1 + phi²) from which metastable transport structures, corridor organization, recursive restructuring, emergent geometry, and weak-field inverse-square-like sectors arise asymptotically. SDEF does not treat spacetime geometry, equilibrium, or isolated particles as primitive ontology. Instead, geometry and observable structures are interpreted as emergent organizational regimes of recursive transport dynamics governed by the GPLA primitive quartet: Gradient Density (G) Persistence/Fatigue (P) Loop Integrity/Coherence (L) Ancestry Compression (A) The framework includes: recursive transport-memory closure, timestamp-echo formalism, Riccati-type regime dynamics, emergent transport geometry, asymptotic weak-field bridge, regime-dependent numerical stability structure, and coarse-grained correspondence mappings to legacy physical observables. This release represents the stabilized canonical ontology and continuum closure architecture of SDEF prior to large-scale numerical exploration and phenomenological reconstruction. The framework remains exploratory. Several sectors remain incomplete, including: full cosmological closure, relativistic reconstruction, chemistry-scale recursive stabilization, biological emergence, and observational coarse-graining. This upload is intended as: an archival ontology freeze, a canonical PDE reference, and a foundation for future numerical and asymptotic investigation.
Pej Evan Bartolo (Sun,) studied this question.