[11] **viXra:0703.0047 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** Michael Ibison

**Comments:** recovered from sciprint.org

This paper follows in the tradition of direct-action versions of electromagnetism having the aim of
avoiding a balance of infinities wherein a mechanical mass offsets an infinite electromagnetic mass
so as to arrive at a finite observed value. However, the direct-action approach ultimately failed in
that respect because its initial exclusion of self-action was later found to be untenable in the
relativistic domain. Pursing the same end, this paper examines instead a version of
electromagnetism wherein mechanical action is excluded and self-action is retained. It is shown that
the resulting theory is effectively interacting due to the presence of infinite forces. A vehicle for the
investigation is a pair of classical point charges in a positronium-like arrangement for which the
orbits are found to be self-sustaining and naturally quantized.

**Category:** Quantum Physics

[10] **viXra:0703.0025 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** V. Christanto

**Comments:** recovered from sciprint.org

While nowadays it is almost trivial to prove explicitly that
there is exact correspondence (isomorphism) between Dirac equation and
Maxwell electromagnetic equations via biquaternionic representation,
nonetheless their physical meaning remains open for discussion. In the
present note we submit the viewpoint that it would be more conceivable if
we interpret the vierbein in terms of superfluid velocity. Furthermore using
the notion of Hodge bracket operator, we could find a neat linkage between
Dirac equation and Klein-Gordon equation. From this viewpoint it seems
possible to suggest a generalised unified wave equation from relativistic
fluid dynamics, which is thus far never proposed. Furthermore, the present
note argues that it is possible to derive an alternative description of
gravitational phenomena from Aharonov effect in relativistic spacetime,
which then could be used to explain anomalous gravitational phenomenon
known as Podkletnov’s experiment. Further experimental observation to
verify or refute this proposition is recommended. For clarity, each new
equation in the present note, which never appears before elsewhere, is
denoted by (#) notation.

**Category:** Quantum Physics

[9] **viXra:0703.0024 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** Alex Kaivarainen

**Comments:** recovered from sciprint.org

The original Bivacuum concept developed in this work, like Dirac theory of vacuum, admit
the equal probability of positive and negative energy. The Unified theory (UT) represents
efforts of this author to create the Hierarchical picture of the World, starting from specific
Bivacuum superfluid matrix, providing the elementary particles origination and fields,
excited by particles Corpuscle Wave pulsation.

**Category:** Quantum Physics

[8] **viXra:0703.0023 [pdf]**
*submitted on 25 Mar 2007*

**Authors:** V. Christianto

**Comments:** recovered from sciprint.org

It is known that Barut’s equation could predict lepton and
hadron mass with remarkable precision. Recently some authors have
extended this equation, resulting in Barut-Dirac equation. In the present
article we argue that it is possible to derive a new wave equation as
alternative to Barut -Dirac’s equation from the known exact correspondence
(isomorphism) between Dirac equation and Maxwell electromagnetic
equations via biquaternionic representation. Furthermore, in the present
note we submit the viewpoint that it would be more conceivable if we
interpret the vierbein of this equation in terms of superfluid velocity, which
in turn brings us to the notion of topological electronic liquid. Some
implications of this proposition include quantization of celestial systems.
We also argue that it is possible to find some signatures of Bose- Einstein
cosmology, which thus far is not explored sufficiently in the literature.
Further experimental observation to verify or refute this proposition is
recommended. For clarity, each new equation in the present note, which
never appears before elsewhere, is denoted by (#) notation.

**Category:** Quantum Physics

[7] **viXra:0703.0019 [pdf]**
*submitted on 18 Mar 2007*

**Authors:** M. Pitkanen

**Comments:** recovered from sciprint.org

The idea that configuration space CH of 3-surfaces, ”the world
of classical worlds”, could be realized in terms of number theoretic
anatomies of single space-time point using the real units formed from
infinite rationals, is very attractive.

**Category:** Quantum Physics

[6] **viXra:0703.0015 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Richard Gauthier

**Comments:** recovered from sciprint.org

A spatial model of a free electron (or a positron) is formed by a proposed
superluminally circulating point-like charged superluminal quantum.

**Category:** Quantum Physics

[5] **viXra:0703.0014 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** V. Christianto

**Comments:** recovered from sciprint.org

It is known that the large scale cosmological model may appear resemble to quantum
liquid (Helium).[1] And recently a modified model using this assumption yields a very
good agreement with observed data so far.[2][3] Interestingly, it is also known that
quantum liquid may exhibit quantum computation phenomena, therefore one could say
that a quantum liquid model of universe may appear also as quantum computer. This
aspect, however, has not been explored adequately in literature.

**Category:** Quantum Physics

[4] **viXra:0703.0010 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Thomas R. Love

**Comments:** recovered from sciprint.org

We construct two first order differential operators which commute
with the operators in a representation of su(2), providing a counterexample
to Schur’s Lemma.

**Category:** Quantum Physics

[3] **viXra:0703.0009 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Diego L. Rapoport

**Comments:** recovered from sciprint.org

We reintroduce the Riemann-Cartan-Weyl geometries with trace
torsion and their associated Brownian motions on spacetime to extend them to
Brownian motions on the tangent bundle and exterior powers of them. We
characterize the diffusion of differential forms, for the case of manifolds without
boundaries and the smooth boundary case. We present implicit representations
for the Navier-Stokes equations (NS) for an incompressible fluid in a smooth
compact manifold without boundary as well as for the kinematic dynamo equation
(KDE, for short) of magnetohydrodynamics. We derive these representations
from stochastic differential geometry, unifying gauge theoretical structures
and the stochastic analysis on manifolds (the Ito-Elworthy formula for differential
forms. From the diffeomorphism property of the random flow given by
the scalar lagrangian representations for the viscous and magnetized fluids, we
derive the representations for NS and KDE, using the generalized Hamilton and
Ricci random flows (for arbitrary compact manifolds without boundary), and
the gradient diffusion processes (for isometric immersions on Euclidean space of
these manifolds). We solve implicitly this equations in 2D and 3D. Continuing
with this method, we prove that NS and KDE in any dimension other than 1,
can be represented as purely (geometrical) noise processes, with diffusion tensor
depending on the fluid’s velocity, and we represent the solutions of NS and KDE
in terms of these processes. We discuss the relations between these representations
and the problem of infinite-time existance of solutions of NS and KDE.
We finally discuss the relations between this approach with the low dimensional
chaotic dynamics describing the asymptotic regime of the solutions of NS. We
present the random symplectic theory for the Brownian motions generated by
these Riemann-Cartan-Weyl geometries, and the associated random Poincare-Cartan
invariants. We apply this to the Navier-Stokes and kinematic dynamo
equations. In the case of 2D and 3D, we solve the Hamiltonian equations.

**Category:** Quantum Physics

[2] **viXra:0703.0008 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Diego L. Rapoport

**Comments:** recovered from sciprint.org

We review the relation between space-time geometries with torsion
fields (the so-called Riemann-Cartan-Weyl (RCW) )geometries) and their
associated Brownian motions. In this setting, the metric conjugate of the tracetorsion
one-form is the drift vectorfield of the Brownian motions. Thus, in
the present approach, Brownian motions, in distinction with Nelson’s Stochastic
Mechanics, are spacetime structures. We extend this to the state-space of
non-relativistic quantum mechanics and discuss the relation between a noncanonical
quantum RCW geometry in state-space associated with the gradient
of the quantum-mechanical expectation value of a self-adjoint operator given
by the generalized laplacian operator defined by a RCW geometry. We discuss
the reduction of the wave function in terms of a RCW quantum geometry in
state-space. We characterize the Schroedinger equation for both an observed
and unobserved quantum systems in terms of the RCW geometries and Brownian
motions. Thus, in this work, the Schroedinger field is a torsion generating
field, and the U and R processes, in the sense of Penrose, are associated, the
former to spacetime geometries and their associated Brownian motions, and the
latter to their extension to the state-space of nonrelativistic quantum mechanics
given by the projective Hilbert space. In this setting, the Schroedinger equation
can be either linear or nonlinear. We discuss the problem of the many times
variables and the relation with dissipative processes. We present as an additional
example of RCW geometries and their Brownian motions counterpart, the
dynamics of viscous fluids obeying the invariant Navier-Stokes equations. We
introduce in the present setting an extension of R. Kiehn’s approach to dynamical
systems starting from the notion of the topological dimension of one-forms,
to apply it to the trace-torsion one-form whose metric conjugate is the Brownian
motion’s drift vectorfield and discuss the topological notion of turbulence. We
discuss the relation between our setting and the Nottale theory of Scale Relativity,
and the work of Castro and Mahecha in this volume in nonlinear quantum
mechanics, Weyl geometries and the quantum potential.

**Category:** Quantum Physics

[1] **viXra:0703.0007 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Diego L. Rapoport

**Comments:** recovered from sciprint.org

We present the space-time and Hilbert-state space quantum geometries and their associated
Brownian motions. We discuss the problem of the reduction of the wave function associated to
these geometries and their Brownian motions.

**Category:** Quantum Physics