The Navier–Stokes Equations Reinterpreted through Informational Geometry: A Viscous Time Theory Expansion

Raoul Bianchetti

doi:10.59973/ipil.194

Authors

Raoul Bianchetti Information Physics Institute, Genova, 16128, Italy

DOI:

https://doi.org/10.59973/ipil.194

Keywords:

Viscous Time Theory, Informational geometry;, Navier–Stokes equations, Coherence dynamics, Critical Mass of Information, Informational singularity, Fluid topology, Millennium problem

Abstract

This article proposes a rigorous formalization and symbolic reinterpretation of the Navier-Stokes equations through the lens of Viscous Time Theory (VTT), introducing a geometric-informational transformation that re-frames viscosity, turbulence, and fluid structure as manifestations of informational coherence. Key variables such as Viscosity (η), Coherence Knot (CK), and Critical Mass of Information (CMI), and Informational Drift Tensor (IDT) are defined with dimensional consistency. This work integrates previous manuscripts, adds a comprehensive historical introduction, and addresses previous critiques with a complete testable framework grounded in coherent informational flow dynamics.

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Bianchetti, R. (2025). The Navier-Stokes Equations Reinterpreted through Informational Geometry – A Viscous Time Theory Expansion. https://doi.org/10.5281/zenodo.15268815