A Hydrodynamic Approach to Macroscopic Gravity: Thermodynamic Equilibrium via Viscous Dissipation and Quaternion Tensors
Year: 2026
Type: preprint
Abstract: This paper presents a novel hydrodynamic framework for macroscopic gravity, bridging the gap between Einstein's tensor geometry and Navier-Stokes fluid dynamics. By modeling the gravitational field as a continuous flow of Vacuum Fluctuation Energy, a dimensionally calibrated quaternion tensor is introduced to resolve the topological coordinate singularity (gimbal lock phenomenon) inherent in rotating celestial bodies. Furthermore, to prevent the non-physical gravitational collapse observed in conventional mass-density singularity models, an isotropic hydrostatic pressure tensor is coupled with a radial density stratification function. This system reaches a permanent thermodynamic equilibrium state by suppressing the exponential divergence of turbulent kinetic energy (TKE) through a kinematic viscous dissipation term opposing the non-linear convective vortex acceleration. This hydrodynamic formulation successfully mitigates infinite density singularities without relying on the constraints of quantum gravity, providing a computable closed-form macroscopic field theory for planetary geometry.
Source: CDI B2Share
Author: Kim, Jung Soo
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213610463
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