Turbulent Temporal Dynamics and Macro-Laminar Spacetime: A Navier–Stokes Toy Model of Recursive Time and Emergent Relativity
Year: 2026
Type: preprint
Abstract: Contemporary theoretical physics struggles to reconcile the probabilistic, chaotic nature of quantum mechanics with the smooth, deterministic continuum of general relativity. In this paper, we introduce a minimalist fluid-dynamic toy model that treats microscopic time not as a smooth background dimension, but as a local, non-linear Navier–Stokes fluid. Operating under strict neighbor-only coupling and fixed global energy, the model demonstrates how turbulent, chiral time-vortices at the Planck scale undergo viscous dissipation. This internal geometric friction acts as a "straightening" mechanism, naturally damping high-frequency temporal chaos into the smooth, laminar 4D spacetime observed at macroscopic scales. We show that mass emerges as stable topological vortex-defects, and gravity manifests as the resulting fluid pressure gradients, providing a cohesive framework that bridges quantum turbulence and relativistic smoothness without invoking unobserved particles or extra dimensions. The paper concludes with three falsifiable physical signatures: Lorentz Invariance Violation (LIV) in high-energy astrophysics (GRBs), the universal generation of macroscopic 1/f noise, and Q-hierarchy temporal drift in BEC analog models.
Author: Németh, László János
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212235620
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