Classical Physics

0711 Submissions

[3] viXra:0711.0006 [pdf] submitted on 30 Nov 2007

On the Unification of Geometric and Random Structures Through Torsion Fields: Brownian Motions, Viscous and Magneto-Fluid-Dynamics

Authors: Diego L. Rapoport
Comments: recovered from sciprint.org

We present the unification of Riemann-Cartan-Weyl (RCW) space-time geometries and random generalized Brownian motions. These are metric compatible connections (albeit the metric can be trivially euclidean) which have a propagating trace-torsion 1-form, whose metric conjugate describes the average motion interaction term. Thus, the universality of torsion fields is proved through the universality of Brownian motions. We extend this approach to give a random symplectic theory on phase-space. We present as a case study of this approach, the invariant Navier-Stokes equations for viscous fluids, and the kinematic dynamo equation of magnetohydrodynamics. We give analytical random representations for these equations. We discuss briefly the relation between them and the Reynolds approach to turbulence. We discuss the role of the Cartan classical development method and the random extension of it as the method to generate these generalized Brownian motions, as well as the key to construct finite-dimensional almost everywhere smooth approximations of the random representations of these equations, the random symplectic theory, and the random Poincare-Cartan invariants associated to it. We discuss the role of autoparallels of the RCW connections as providing polygonal smooth almost everywhere realizations of the random representations.
Category: Classical Physics

[2] viXra:0711.0005 [pdf] submitted on 30 Nov 2007

Circularly Polarized Plane Wave Has Spin Angular Momentum

Authors: Radi I. Khrapko
Comments: recovered from sciprint.org

Absorption of a circularly polarized light beam is considered as a laser-material interaction. It is shown that the torque acting on the material is twice as much as the standard electrodynamics predicts.
Category: Classical Physics

[1] viXra:0711.0004 [pdf] submitted on 30 Nov 2007

Confirmations of Reality of the Electrodynamics' Spin Tensor

Authors: Radi I. Khrapko
Comments: recovered from sciprint.org

Theoretical and experimental results prove that classical electrodynamics' spin described by a nonconventional spin tensor must be taken into account when optically driven micromachines are under consideration. This fact contradicts the standard electrodynamics.
Category: Classical Physics