Mathematical Physics

1603 Submissions

[8] viXra:1603.0377 [pdf] replaced on 2016-03-30 20:22:38

A Simple Model of Quantization: an Approach from Chaos

Authors: Moises Dominguez-Espinosa, Jaime Melendez-Martinez
Comments: 4 Pages. 3 Figures, Dynamical Systems, Quantum Mechanics.

There is a paradigm in Quantum Mechanics that explains quantization through normal vibration modes called Eigenstates that arise from Schrodinger wave equation. In this contribution we propose an alternative methodology of quantization by using basic concepts of mechanics and chaos from which a Toy Model is built.
Category: Mathematical Physics

[7] viXra:1603.0371 [pdf] replaced on 2016-04-15 17:31:25

On Wick Rotation

Authors: Jonathan Tooker
Comments: 1 Page. nice paper

Wick rotation produces numbers that agree with experiment and yet the method is mathematically wrong and not allowed by any self-consistent rule. We explore a small slice of wiggle room in complex analysis and show that it may be possible to use QFT without reliance on Wick rotations.
Category: Mathematical Physics

[6] viXra:1603.0363 [pdf] submitted on 2016-03-25 18:33:06

Meta-space Energy in the Grand Unification Scheme

Authors: Miguel A. Sanchez-Rey
Comments: 3 Pages.

What is required and restricted by the grand unification scheme when it comes to energy for any variant?
Category: Mathematical Physics

[5] viXra:1603.0229 [pdf] submitted on 2016-03-15 22:31:38

Four Possible Methods to Extend Lehnert’s Screw-Shaped Photon: Towards Soliton Orbital Angular Momentum Radio (Soamr)

Authors: Victor Christianto, Yunita Umniyati
Comments: 8 Pages. This paper has been submitted to IJET ( Your comments are welcome

This paper was at-least-partially inspired by the problem of relatively slow internet connection in our country. We believe that the same common problem has plagued other developing countries like ours, so it seems that we need a new technology to increase the internet capacity, especially the wireless network capacity. One way to do that is to look at the photon electrodynamics theory. In a series of papers, Bo Lehnert has suggested screw-shaped model of photon, inspired by his Revised Quantum Electrodynamics (RQED). Therefore in this paper we will review 4 possible methods to extend his screw-shaped photon model. In the mean time, there is recent debate concerning theoretical basis and utilization of photon orbital angular momentum (OAM), in particular as a means to increase wireless internet capacity. Promising results have been reported from laboratory experiments carried out by Bo Thide group and others too. But considering Vigier’s proposal to consider photon as soliton, in this paper we will discuss not the usual photon OAM as suggested by Thide group, instead we will consider soliton orbital angular momentum. If the proposed concept holds true, then it is possible to develop soliton radio wave based on OAM, which we call here as SOAmR (Soliton Orbital Angular Momentum Radio).
Category: Mathematical Physics

[4] viXra:1603.0223 [pdf] submitted on 2016-03-15 14:34:15

Comment on 5 Papers by Gandhi and Colleagues

Authors: Wei Cen, Ning Gu
Comments: Pages.

The bio-heat transfer equation for homogeneous material model can be easily calculated by using second order finite difference approximation to discretize the spatial derivatives and explicit finite-difference time-domain (FDTD) scheme for time domain discretization. Mr. Gandhi and colleagues solved the bio-heat equation for inhomogeneous models utilizing implicit finite-difference method. Whereas we appreciate their research, we would like to address a few issues that may help further clarify or confirm the research.
Category: Mathematical Physics

[3] viXra:1603.0121 [pdf] replaced on 2016-03-30 20:17:57

Formal Expression of the Cosmological Constant and Formulation of General Relativity Resulting

Authors: CLaude Latourre
Comments: 8 Pages. en français

For more than a century, the equations of general relativity have evolved according to the observations of the universe. These changes are expressed through the cosmological constant (Λ), which was first added on the space-time part to account for a stationary universe, then removed when observed the evolution of it. More recently, the constant reappeared on the energy-momentum part to describe an accelerated expansion of the universe. Let's see now, how the contraction of the equations of general relativity can express exactly the value of the cosmological constant: Λ = -1/4 (R + κ T) and also to deduce an equivalent reformulation the equations of General Relativity: (Rµ√ -1/4 gµ√ R) = κ (Tµ√ -1/4 gµ√ T). All this, without using any physical concept: dark energy, Quintessence…
Category: Mathematical Physics

[2] viXra:1603.0115 [pdf] replaced on 2016-05-13 02:57:59

Kaotic Algebras

Authors: Robert G Wallace
Comments: 48 pages

Manifolds of any dimension and signature have an associated Clifford algebra. Division algebras can be generated by repeated application of the Cayley-Dickson construction, which can be further extended to power associative algebras such as the sedenions. It is possible to apply the Cayley-Dickson construction to Clifford algebras. The series of algebras generated this procedure are referred to in this paper as kaotic algebras, and the notation Ka^n(p,q) is proposed to designate particular kaotic algebra obtained by $n$ applications of the Cayley-Dickson construction to a matrix group isomorphic to a Clifford algebra Cl(p,q). The Cayley table for Ka^3(1,4) is generated. This table has aspects suggesting that this algebra may have applications in physics.
Category: Mathematical Physics

[1] viXra:1603.0052 [pdf] submitted on 2016-03-04 04:38:37

High-Order Spectral Volume Scheme for Multi-Component Flows Using Non-Oscillatory Kinetic Flux

Authors: Na Liu, Xihua Xu, Yibing Chen
Comments: 24 Pages. numerical method in CFD

In this paper, an arbitrary high-order compact method is developed for compressible multi-component flows with a stiffened gas equations of state(EOS). The main contribution is combining the high-order, conservative, compact spectral volume scheme(SV) with the non-oscillatory kinetic scheme(NOK) to solve the quasi-conservative extended Euler equations of compressible multi-component flows. The new scheme consists of two parts: the conservative part and the non-conservative part. The original high order compact SV scheme is used to discretize the conservative part directly. In order to treat the equation of state of the stiffened gas, the NOK scheme is utilized to compute the numerical flux. Then, careful analysis is made to satisfy the necessary condition to avoid unphysical oscillation near the material interfaces. After that, a high-order compact scheme for the non-conservative part is obtained. This new scheme has the following advantages for numerical simulations of compressible multi-component stiffened gas: high order accuracy with compact stencil and oscillation-free near the material interfaces. Numerical tests demonstrate the good performance and the efficiency of the new scheme for multi-component flow simulations.
Category: Mathematical Physics