Terminal Structural Reduction for a Local 3D Navier–Stokes Program: Multiscale Rigidity, Dynamic Gauge, and Sliding-Window Temporal Coverage

This manuscript develops a conditional structural reduction for a local program associated with the three-dimensional incompressible Navier–Stokes equations. The result is not an unconditional proof of global regularity. Its purpose is narrower and more exact: to identify a stable terminal form in which the remaining complexity of the program is compressed into two minimal and independent residual inputs. The first is a critical convective oscillatory input controlling the genuinely nonlinear core that survives after anchoring and dynamic gauging. The second is a geometric-temporal sliding-window input controlling the recent distribution of usable good slices. The mature architecture yields the stable implication O₂₎₍ₕ+ Bₒ₋₈₃₄ V_, where V_ denotes the critical local velocity bound on the approximating sequence.