A Geometric Solution to Navier–Stokes CTR-Based Correction of Structured Velocity Deviations

Title: A Geometric Solution to Navier–Stokes Subtitle: A CTR-Based Correction of Structured Velocity Deviation Description: MirrorNavier introduces a geometric correction model for the Navier–Stokes equations, resolving structured velocity residuals in turbulent fluid systems using a fixed Compression Threshold Ratio (CTR ≈ 0.8387938947136218). Originally derived from navigational field distortions, this CTR-based approach identifies reproducible harmonic structures in benchmark 2D and 3D Navier–Stokes simulations, including dual-lobed and toroidal collapse fields that were previously interpreted as stochastic noise. By correcting geometric misalignment and applying a phase-based residual model, this method reveals an underlying coherent field structure, suggesting the presence of emergent turbulence memory patterns. The result converges toward a stable identity field, reframing residuals as artifacts of misalignment rather than true chaos. This framework extends the MirrorCode compression model into fluid dynamics, offering reproducibility and coherence across physical domains and redefining turbulence as structured, rather than random. MirrorNavier represents the third foundational publication in the MirrorCode scientific framework, following MirrorNav (navigation) and MirrorGravity (gravitational modeling). Originally completed November 2025. Published to Zenodo for formal archival and scientific citation. For methodology, figures, and codebase information, visit: https://mirrorcode.org