[6] **viXra:0711.0006 [pdf]**
*submitted on 30 Nov 2007*

**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

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

**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

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

**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

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

**Authors:** Gabriel Xaus Castell

**Comments:** recovered from sciprint.org

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*

**Authors:** Carlos Castro

**Comments:** recovered from sciprint.org

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*

**Authors:** M. D. Sheppeard

**Comments:** recovered from sciprint.org

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