PPAR-NS: An Unforced Receiver-Native Cascade for Three-Dimensional Incompressible Navier–Stokes

This monograph develops a zero-forcing, one-datum receiver cascade for the three-dimensional incompressible Navier–Stokes equations on the whole space. The proof spine separates exact physical carrier genealogy from integer phase bookkeeping, constructs a source-retained unforced relay, replaces full-profile iteration by a receiver-native state with finite chronological memory, globalizes the construction to one smooth localized datum, proves finite accumulation of the physical stage times, and converts the accepted physical receiver into a diverging homogeneous \(\dot H^1\) lower bound. The terminal argument is a finite-stage contradiction on one maximal exact trajectory. The discovery spine and no-go ledger are retained because they record the falsifiers that forced the surviving architecture.