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0812 Submissions

[9] viXra:0812.0009 [pdf] submitted on 29 Dec 2008

Riemann Paper (1859) Is False

Authors: Chun-Xuan Jiang
Comments: recovered from sciprint.org

In 1859 Riemann defined the zeta function ζ(s). From Gamma function he derived the zeta function with Gamma function ζ-bar(s). ζ-bar(s) and ζ(s) are the two different functions. It is false that ζ-bar(s) replaces ζ(s). Therefore Riemann hypothesis (RH) is false. The Jiang function J(ω) can replace RH.
Category: Number Theory

[8] viXra:0812.0008 [pdf] submitted on 21 Dec 2008

Topological Maxwell Field Theory and Symmetry Breaking.

Authors: R. M. Kiehn
Comments: recovered from sciprint.org

Finally, I have found time to think about, and the incentive to study, how the field theory of Topological thermodynamics, electrodynamics, and hydrodynamics can be compared to field theory concepts that have been developed by Lagrangian methods, for both the classic and quantum mechanical varieties. For more than 30 years I have known that Cartan's topological methods could be applied to dissipative systems; the methods based on diffeomorphic-invariant Lagrangian field theories can not. The incentive came when I realized that the topological methods of Cartan gave dynamical results that can explain "symmetry breaking" and quantization in terms of continuous topological evolution.
Category: Mathematical Physics

[7] viXra:0812.0007 [pdf] replaced on 2014-04-10 02:25:20

Gyrocompass Effect And The Origin Of The Earth's Magnetic Field

Authors: Low Yuen Wang
Comments: 5 Pages.

Here I propose that the magnetic field of the earth is produced by the alignment of electrons. Because the earth is rotating, only electron spins that pointing to the north-south direction can maintain their direction relative to the galaxy and relative to other electrons and atoms, so electrons have a tendency to point to north-south direction. This theory/effect is proved by a commercial tool called gyrocompass.
Category: Classical Physics

[6] viXra:0812.0006 [pdf] replaced on 2012-01-30 22:44:04

Quantum Hall Effect and Hierarchy of Planck Constants

Authors: Matti Pitkänen
Comments: 64 Pages.

I have already earlier proposed the explanation of FQHE, anyons, and fractionization of quantum numbers in terms of hierarchy of Planck constants realized as a generalization of the imbedding space H = M4 x CP2 to a book like structure. The book like structure applies separately to CP2 and to causal diamonds (CD ⊂ M4) defined as intersections of future and past directed light-cones. The pages of the Big Book correspond to singular coverings and factor spaces of CD (CP2) glued along 2-D subspace of CD (CP2) and are labeled by the values of Planck constants assignable to CD and CP2 and appearing in Lie algebra commutation relations. The observed Planck constant h, whose square defines the scale of M4 metric corresponds to the ratio of these Planck constants. The key observation is that fractional filling factor results if h is scaled up by a rational number. In this chapter I try to formulate more precisely this idea. The outcome is a rather detailed view about anyons on one hand, and about the Kähler structure of the generalized imbedding space on the other hand.
Category: Quantum Physics

[5] viXra:0812.0005 [pdf] submitted on 9 Dec 2008

The Pioneer Effect: a New Physics with a New Principle

Authors: Russell Bagdoo
Comments: recovered from sciprint.org

Radio metric data from the Pioneer 10/11, Galileo and Ulysses spacecraft indicated an anomalous, constant acceleration acting on them, directed toward the Sun, and a gradual growth of the radio signal frequency emitted by the receding transmitter. The reported odd acceleration of Pioneer 10 with a magnitude ~8.5 x 10-10 m/s2 can be explained by an induced gravitational interaction on the S-band signals traveling between the probe and the Earth, arising from the electromagnetic properties of the outer Solar System vacuum zero-point radiation interacting with matter. Their nature is of quantum vacuum origin, and these induced forces act in addition to ordinary gravitational forces, violating the principle of Equivalence. We suggest a new physical theory based on a new principle called Compensation as a thinkable explanation for the non-conventional Pioneer effect. The theory of Relation, which is an alternative to the inflationist model, postulates that our Universe is made of two antagonistic but complementary structures. The principle of Compensation contradicts Relativity theory, predicts such acceleration and is for the electromagnetic spacetime metric what the principle of Equivalence is for the gravific spacetime metric.
Category: Astrophysics

[4] viXra:0812.0004 [pdf] replaced on 29 Dec 2008

Jiang's Function Jn+1(ω) in Prime Distribution

Authors: Chun-Xuan Jiang
Comments: recovered from sciprint.org

Jiang's function Jn+1(ω) in prime distribution
Category: Number Theory

[3] viXra:0812.0003 [pdf] submitted on 9 Dec 2008

New Evidence for Colored Leptons

Authors: Matti Pitkänen
Comments: recovered from sciprint.org

The recent discovery of CDF anomaly suggest the existence of a new long-lived particle which means a dramatic deviation from standard model. This article summarizes the quantum model of CDF anomaly. The anomaly is interpreted in terms of production of τ-pions which can be regarded as pion like bound states of color octet excitations of τ-leptons and corresponding neutrinos. Colored leptons are one of the basic predictions of TGD distinguishing it from standard model and for 18 years ago were applied to explain the anomalous production of electron-positron pairs in heavy ion collisions near Coulomb wall. First it is shown that the model explains the basic characteristics of the anomaly. Then various alternatives generalizing the earlier model for electro-pion production are discussed and a general formula for differential cross section is deduced. Three alternatives inspired by eikonal approximation generalizing the earlier model inspired by Born approximation to a perturbation series in the Coulomb interaction potential of the colliding charges. The requirement of manifest relativistic invariance for the formula of differential cross section leaves only two options, call them I and II. The production cross section for τ-pion is estimated and found to be consistent with the reported cross section of order 100 pb for option I using same energy cutoff for lepto-pions as in the model for electro-pion production. For option II the production cross section is by several orders of magnitude too small under these assumptions. Since the model involves only fundamental coupling constants, the result can be regarded as a further success of the τ-pion model of CDF anomaly. Analytic expressions for the production amplitude are deduced in the Appendix as a Fourier transform for the inner product of the non-orthogonal magnetic and electric fields of the colliding charges in various kinematical situations. This allows to reduce numerical integrations to an integral over the phase space of lepto-pion and gives a tight analytic control over the numerics.
Category: High Energy Particle Physics

[2] viXra:0812.0002 [pdf] submitted on 4 Dec 2008

An Interpretation of an Angular Momentum Density of Circularly Polarized Light Beams

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

Reasons are presented against considering an moment of momentum flux to be a spin flux. A spin tensor is proposed to describe spin of a photon in the frame of the classical electrodynamics.
Category: Classical Physics

[1] viXra:0812.0001 [pdf] submitted on 4 Dec 2008

Experimental Determination of Angular Momentum Flux Density in a Circularly Polarized Light Beam

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

An interference experiment is proposed to answer a troubling question, how is angular momentum distributed over a circularly polarized light beam with plane phase front.
Category: Classical Physics