Quantum Physics

0703 Submissions

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

Un-Renormalized Classical Electromagnetism

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

A Note on Quaternionic Maxwell-Dirac Isomorphism, Klein-Gordon Equation, Unified Wave Equation from Relativistic Fluid, and Gravitation from Aharonov Effect

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

Unified Theory of Bivacuum, Particles Duality, Fields & Time

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

A New Wave Quantum Relativistic Equation from Quaternionic Representation of Maxwell-Dirac Isomorphism as an Alternative to Barut-Dirac Equation

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

About Correspondence Between Infinite Primes, Space-time Surfaces, and Configuration Space Spinor Fields

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

Superluminal Quantum Models of the Electron and the Photon

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

A Note on the Plausible Linkage Between Quantum Liquid Universe and Quantum Computation: a Conscious Universe

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

Schur's Lemma is False for Differential Operators

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

Viscous and Magneto Fluid-Dynamics, Torsion Fields, and Brownian Motions Representations on Compact Manifolds and the Random Symplectic Invariants

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

Torsion Fields, The Quantum Potential, Cartan-Weyl Space-Time and State-space Geometries and their Brownian Motions

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

On the Space-Time and State-Space Geometries of Random Processes in Quantum Mechanics

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