Recursive Coherence Collapse as a Conditional Route to Excluding Supercritical Navier–Stokes Cascades

This paper develops a conditional analytical framework for studying finite-time singularity formation in the three-dimensional incompressible Navier–Stokes equations. The work introduces a recursive multiscale coherence-collapse interpretation of supercritical concentration behavior using moving-frame localization structures, recursive routing mechanisms, and scale-dependent coherence analysis. Rather than treating singularity formation purely as uncontrolled norm growth, the framework investigates whether recursively coherent amplification can persist under shrinking-scale turbulent evolution. The paper develops a conditional cascade-routing structure connecting localized concentration behavior, recursive transport mechanisms, geometric suppression effects, and multibranch cascade interactions. Several structural theorems and conditional decay mechanisms are established within the proposed framework. This work does not claim an unconditional proof of Navier–Stokes global regularity. Instead, it proposes a mathematically structured conditional framework intended to reduce the regularity problem to a finite collection of explicit analytical closure mechanisms and recursive coherence conditions. The uploaded version is restricted while the framework, analytical structure, and remaining closure arguments continue to undergo refinement and verification.