Turbulent Temporal Dynamics and Macro-Laminar Spacetime: A Navier–Stokes Toy Model of Recursive Time and Emergent Relativity

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-11
DOI
https://doi.org/10.5281/zenodo.22715371
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Turbulent Temporal Dynamics and Macro-Laminar Spacetime: A Navier–Stokes Toy Model of Recursive Time and Emergent Relativity

László János Németh
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Turbulent Temporal Dynamics and Macro-Laminar Spacetime: A Navier–Stokes Toy Model of Recursive Time and Emergent Relativity

László János Németh
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Unified Szent István and Szent László Hospital (HU)
Affordable and clean energy
Noncommutative and Quantum Gravity Theories
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