2 citations · 7 across the 9 of their papers we have counts for
11 papers
Electromagnetic Field Equivalence from Moving Manifolds
David V. Svintradze
We apply a geometric formulation of electromagnetic fields on moving manifolds to the problem of field equivalence between dynamically separated domains. Starting from the tensoria…
Geometric Foundations of Stochastic and Quantum Dynamics
David V. Svintradze
We develop a geometric formulation of stochastic dynamics in which noise, diffusion, path probabilities, fluctuation theorems, and entropy production arise from the intrinsic geome…
Moving Manifolds and the Poincare Conjecture
David V. Svintradze
We present a differential geometric formulation of the Poincare problem using the calculus of moving surfaces (CMS). In this framework, an n dimensional compact hypersurface evolve…
Moving Manifolds and General Relativity
David V. Svintradze
We revise general relativity (GR) from the perspective of calculus for moving surfaces (CMS). While GR is intrinsically constructed in pseudo-Riemannian geometry, a complete unders…
Manifold Solutions to Navier-Stokes Equations
David V. Svintradze
We have developed dynamic manifold solutions for the Navier-Stokes equations using an extension of differential geometry called the calculus for moving surfaces. Specifically, we h…
Generalization of the Kelvin Equation for Arbitrarily Curved Surfaces
David V. Svintradze
Capillary condensation, which takes place in confined geometries, is the first-order vapor-to-liquid phase transition and is explained by the Kelvin equation, but the equations app…