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0711 Submissions

[6] 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

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

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

Circularly Polarized Plane Wave Has Spin Angular Momentum

Authors: Radi I. Khrapko
Comments: recovered from

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

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

Confirmations of Reality of the Electrodynamics' Spin Tensor

Authors: Radi I. Khrapko
Comments: recovered from

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

[3] viXra:0711.0003 [pdf] submitted on 9 Nov 2007

Looking for Alternatives to Bodes Law

Authors: Gabriel Xaus Castell
Comments: recovered from

This article is a rewriting of the one published in the 18th release of the students magazine of the Faculty of Physics of the University or Barcelona called "Plant 8" published in May 1983
Category: Astrophysics

[2] viXra:0711.0002 [pdf] submitted on 9 Nov 2007

Exact Solutions of Einstein's Field Equations Associated to a Point-Mass Delta-Function Source

Authors: Carlos Castro
Comments: recovered from

We explicitly solve the static spherically symmetric Einstein field equations due to a delta function point mass source at r = 0 and explain why our solutions are not diffeomorphic to the textbook solution. It is shown that the Euclidean action (in h-bar units) is precisely equal to the black hole entropy (in Planck area units). This result holds in any dimensions D >= 3 . Instead of a black-hole solution with a horizon at r = 2GM one has a spacetime void surrounding the singularity.
Category: Relativity and Cosmology

[1] viXra:0711.0001 [pdf] submitted on 1 Nov 2007

Mass Matrix Transforms in Qubit Field Theory

Authors: M. D. Sheppeard
Comments: recovered from

Circulant mass matrices for triples of charged and neutral leptons have been studied in the context of qubit quantum field theory. This note describes the discrete Fourier transform behind such matrices, and discusses a category theoretic interpretation of these operators.
Category: Quantum Physics