Quantum Physics

0910 Submissions

[6] viXra:0910.0064 [pdf] submitted on 30 Oct 2009

On a General Spin Dirac Equation

Authors: Golden Gadzirayi Nyambuya
Comments: 7 pages, Published in the Apeiron Journal, 2009, Vol. 4, pp.516-531: http://redshift.vif.com/JournalFiles/V16NO4PDF/V16N4NYA.pdf

In its bare and natural form, the Dirac Equation describes only spin-1/2 particles. The main purpose of this reading is to make a valid and justified mathematical modification to the Dirac Equation so that it describes any spin particle. We show that this mathematical modification is consistent with the Special Theory of Relativity (STR). We believe that the fact that this modification is consistent with the STR gives the present effort some physical justification that warrants further investigations. From the vantage point of unity, simplicity and beauty, it is natural to wonder why should there exist different equations to describe particles of different spins? For example, the Klein-Gordon equation describes spin-0 particles, while the Dirac Equation describes spin-1/2, and the Rarita-Schwinger Equation describes spin-3/2. Does it mean we have to look for another equation to describe spin-2 particles, and then spin-5/2 particles etc? This does not look beautiful, simple, or at the very least suggest a Unification of the Natural Laws. Beauty of a theory is not a physical principle but, one thing is clear to the searching mind - i.e., a theory that possesses beauty, appeals to the mind, and is (posteriori) bound to have something to do with physical reality if it naturally submits itself to the test of experience. The effort of the present reading is to make the attempt to find this equation.
Category: Quantum Physics

[5] viXra:0910.0060 [pdf] replaced on 6 Nov 2009

Electroweak Forces Acting on TE, TM, TEM.

Authors: Giuliano Bettini
Comments: 46 pages, V1 In Italian, V2 in English

In a previous paper [1] we showed that the energy impulse four vector of the propagation of electromagnetic fields into a waveguide and in free space can be described by a Dirac spinor ψ . This suggest an analogy with for example TE-electron, TM-positron and possibly TEM-neutrino. Aim of this work is an interpretation of the action, if any, of the electroweak gauge group SU(2) ⊗ U(1) on the before mentioned e.m. fields (TE, TM, TEM modes). This is based on the following observation: the energy impulse four vector is invariant under a global transformation of SU(2) ⊗ U(1), so ψ can be "gauged" in order to verify the effect not only of the electromagnetic force but also of the weak forces. In other words, what are "weak forces", if any, on TE, TM and TEM? Obviously this requires "a modification of the Dirac equation to accomodate the larger gauge group" (Hestenes, [2]). This is in fact done here, and it is shown that the analogous of the "weak forces" can be roughly interpreted in the following way: the W boson acts as a horn antenna (receiving or transmitting), performing the transformation TEM ↔ TE, TM, giving or subtracting mass to the field; the Z0 boson is as a radar target acting on the TEM (neutrinos) with a doppler frequency. Those objects have a mathematical counterpart in gauge fields. No Higgs boson is needed in the theory.
Category: Quantum Physics

[4] viXra:0910.0059 [pdf] replaced on 21 Feb 2010

Clifford Algebra and Dirac Equation for TE, TM in Waveguide.

Authors: Giuliano Bettini
Comments: 51 pages, V1 and v3 in Italian, V2 and v4 in English, (slightly amended, corrected formula (123)) .

Following Hestenes and others we explore the possibility that the electron is a (sort of) bound electromagnetic wave. To do this a waveguide analogy is considered. The E, H field components in waveguide satisfy the second order Klein Gordon equation. The question is if a (first order) Dirac equation is involved. Making use of Clifford Algebra, by first it is shown that a spinor ψ satisfying Dirac equation describes, trough the relativistic energy impulse four vector, the energy propagation of the electromagnetic field into a waveguide and in free space. At the same time ψ automatically describes TE and TM modes (TEM in free space), each with Right or Left polarization. It is shown that this description with Dirac equation has been implicit in the waveguide theory all the time. The equivalence is embedded in the usual V and I mode description [1]. The Dirac equation for TE, TM modes opens new interesting interpretations. For example the effect on ψ of a gauge transformation with the electromagnetic gauge group generator ( iσ3 in the Hestenes notation [2]) is readily interpreted as a modification of the TE, TM group velocity. This acts as the electromagnetic force on a charge, and requires two opposite sign of (fictitious) charges for TE or TM. Obviously this suggest an analogy with electron, positron and possibly neutrino for the TEM.
Category: Quantum Physics

[3] viXra:0910.0031 [pdf] replaced on 28 Oct 2009

Towards a Set Theoretic Axiomatization of Quantum Theory and Related Topics

Authors: B. Serifo Balde
Comments: 17 pages, This manuscript is a preliminary draft of work in progress : Set Theoretic Axiomatization of Physics. Comments , corrections and typo alerts are most welcome !

Motivated by Hilbert's sixth problem on axiomatization of physics, the author is proposing a rather provocative abstract axiomatic framework called S - formalization, where S is an arbitrary physical system .The proposal is an attempt to provide a general axiomatic framework , from which mathematical frameworks of new physical theories can be formulated on firm axiomatic basis and the mathematical frameworks of subjects such as standard (nonrelativistic) quantum mechanics are naturally derived as special cases of this general axiomatic framework. Introduction
Category: Quantum Physics

[2] viXra:0910.0008 [pdf] submitted on 7 Oct 2009

Entropy Rate of Thermal Diffusion

Authors: John L. Haller Jr.
Comments: 9 pages

The thermal diffusion of a free particle is a random process and generates entropy at a rate equal to twice the particle's temperature, R = 2kBT/ℎ (in natural units of information per second). The rate is calculated using a Gaussian process with a variance of (Δx0 + Δp⋅t/m)2. One would be keen to notice that the solution to the quantum mechanical diffusion of a free particle is (Δx0)2 + (Δp⋅t/m)2, however we assume that concurrent to quantum diffusion, the center of the wavepacket is also undergoing classical diffusion which adds an addition variance in the amount of (ℎ⋅t/m), making up the difference. Derivations of the variance and subsequent entropy rate are given.
Category: Quantum Physics

[1] viXra:0910.0006 [pdf] submitted on 6 Oct 2009

The Electric Charge and Magnetization Distribution of the Nucleon: Evidence of a Subatomic Turing Wave Pattern

Authors: Paul A. LaViolette
Comments: 30 pages, This paper was published in 2008 in the International Journal of General Systems., vol 37, pp. 649-676.

Subquantum kinetics, a physics methodology that applies general systems theoretic concepts to the field of microphysics has gained the status of being a viable unified field theory. Earlier publications of this theory had proposed that a subatomic particle should consist of an electrostatic field that has the form of a radial Turing wave pattern whose form is maintained through the ongoing activity of a nonlinear reaction-diffusion medium that fills all space. This subatomic Turing wave prediction now finds confirmation in recent nucleon scattering form factor data which show that the nucleon core has a Gaussian charge density distribution with a peripheral periodicity whose wavelength approximates the particle's Compton wavelength and which declines in amplitude with increasing radial distance. The subquantum kinetics explanation for the origin of charge correctly anticipates the observation that the proton's charge density wave pattern is positively biased while the neutron's is not. The phenomenon of beta decay is interpreted as the onset of a secondary bifurcation leading from the uncharged neutron solution to the charged proton solution. The Turing wave dissipative structure prediction is able to account in a unitary fashion for nuclear binding, particle diffraction, and electron orbital quantization. The wave packet model is shown to be fundamentally flawed implying that quantum mechanics does not realistically represent the microphysical world. This new conception points to the possible existence of orbital energy states below the Balmer ground state whose transitions may be tapped as a new source of energy.
Category: Quantum Physics