Metric inertia for eddy densities of nonlocal matter-space

ABSTRACT

Monistic thermomechanics of eddy mater-space with metric stresses of Maxwellian type and inelastic metric waves can be developed for purely kinetic densities of the nonlocal mass-energy integral. Pseudo-Riemannian 4-geometry uses locally warped time to preserve the Euclidean sublight transport of nonlocally correlated densities with instantaneous metric connections and coherent conservation of local 4-currents everywhere. The kinematic viscosity of geometrised energy-momentum densities and their geodesic self-pushes by correlated metric stresses quantitatively clarify the adaptive all-unity of continuous kinetic energy, including material ether or variable rest-energy. The metric self-organisation of matter-space+time implies a nonlocal feedback of correlated eddy densities and their tensor response to the vector density of external forces. Such tensor inertial responses of correlated metric stresses reveal the nonlocal nature of turbulence and predict adaptive auto-modes or thermal waves of Euclidean material space due to the modified geodesic equation with viscose autowaves and the inverse Cavendish constant. The proposed nonlocal alternative to Euler/Navier-Stokes hydrodynamics can distinguish between Cartesian and Newtonian worldviews in conceptual laboratory probes of new macroscopic mechanics for metric self-organisations of thermokinetic energies of viscose material space without negative gravitational energies.

KEYWORDS:

• Maxwellian geodesics
• self-assembling
• nonlocal turbulence
• metric viscosity
• Cartesian worldview

Acknowledgments

I appreciate the valuable discussions with Irina Hall and her patient consultations on the cosmic worldview.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The paper has been supported by the RUDN University Program for Strategic Academic Leadership and by the publication support programs of MIPT and Lebedev Physics Institute.