Causal–Geometric Fluid Dynamics: Discrete Harmonic Regularisation and Navier–Stokes Regularity

A causal-geometric approach to Navier-Stokes regularity: using de Broglie-inspired discrete harmonic pulses to introduce a physically grounded regularisation that suppresses finite-time blowup while preserving macroscopic fluid dynamics and yielding a testable modified Kolmogorov spectrum. ------- Keywords: Navier–Stokes Regularity • Causal Geometry • Discrete Harmonic Pulses • Leray Weak Solutions • Turbulence • Kolmogorov Spectrum • Energy Cascade • High-Frequency Suppression • A Priori Estimates • Structural Regularization • Mathematical Physics • Incompressible Flow • Nonlinear PDE • De Broglie Framework • Non-local Topology • Open Science