Mathematical Physics

1702 Submissions

[9] viXra:1702.0270 [pdf] submitted on 2017-02-21 18:42:59

Fiez Identity for Interacting Four-Fermion in Four-Dimensional Space-Time

Authors: Pairoaj Sungkung
Comments: 4 Pages. Very cool.

The simple case of Fiez identity for interacting four-fermion in four-dimensional space-time has been worked out explicitly.
Category: Mathematical Physics

[8] viXra:1702.0249 [pdf] submitted on 2017-02-19 15:20:15

Was the Vector Field in Weyl's 1918 Theory Unnecessary?

Authors: William O. Straub
Comments: 6 Pages.

The necessity of Weyl's vector field in his 1918 theory is examined.
Category: Mathematical Physics

[7] viXra:1702.0244 [pdf] replaced on 2017-02-26 21:01:18

Solving Coupled Riccati ODEs as Solution of Incompressible Non-Stationary 3D Navier-Stokes Equations

Authors: Victor Christianto
Comments: 4 Pages. This paper has been submitted to Prespacetime Journal

In a recent paper, Ershkov derived a system of two coupled Riccati ODEs as solution of non-stationary 3D Navier-Stokes equations. Now in this paper, we will solve these coupled Riccati ODEs using Maxima computer algebra package. The result seems to deserve further investigation in particular for finding non-stationary 3D Navier-Stokes equations for real fluid.
Category: Mathematical Physics

[6] viXra:1702.0242 [pdf] replaced on 2019-01-16 13:14:15

Exact Quantum Mechanics of Quadratic Liénard Type Oscillator Equations with Bound States Energy Spectrum

Authors: Jean Akande, Biswanath Rath, Damien Kêgnidé Kolawolé Adjaï, Lucas Hervé Koudahoun, Pravanjan Mallick, Rati Ranjan Sahoo, Fernando Yélomè Judicaël Kpomahou, Marc Delphin Monsia
Comments: 12 pages

The quantization of second order nonlinear dynamical systems is well known to be a complicated Sturm-Liouville problem. This work is devoted to the numerical and exact quantization of a quadratic Liénard type oscillator equation which admits a trigonometric function solution. The bound state solutions of the resulting Schrödinger equation expressed in terms of elementary functions and the possibility to recover the energy spectrum of the quantum harmonic oscillator are exactly and numerically discussed following the specific values of system parameters, using the Nikiforov-Uvarov method and nonlocal transformations.
Category: Mathematical Physics

[5] viXra:1702.0231 [pdf] submitted on 2017-02-18 09:09:57

Five Part Harmony

Authors: Gary D. Simpson
Comments: 10 Pages.

This text demonstrates that the complex i can be combined with a Hamilton style quaternion to produce a 5-D mathematical structure. Essentially, the complex plane is combined with an arbitrary unit vector. The complex i is shown to anti-commute with the unit vectors i, j, and k. The resulting geometry is shown to be an extension of Hamilton’s quaternions based upon the complex plane rather than real numbers. This new geometric structure is presented in Figure 1 and Equations 3 through 3.3. This configuration makes it possible to calculate the diameter of the proton at rest with the estimated value being 1.668 x 10-15 meter. This is within the accepted measured range of the proton diameter at 1.755(102) x 10-15 meter as given by the NIST, and it is very close to the proton diameter at 1.68174(78) x 10-15 meter as measured at the Paul Scherrer Institute in 2010 by using muonic hydrogen.
Category: Mathematical Physics

[4] viXra:1702.0210 [pdf] submitted on 2017-02-17 02:05:51

Origin of the Rotation of a Planet on Its Axis

Authors: Viktor Strohm
Comments: 3 Pages.

. In this paper we consider some problems of the origin of body rotation under the influence of the thermal radiation
Category: Mathematical Physics

[3] viXra:1702.0182 [pdf] replaced on 2018-06-06 12:24:38

The Real-Zeros of Jones Polynomial of Torus

Authors: Chang Li
Comments: 2 Pages. version 2

This article proved two theorems and presented one conjecture about the real-zeros of Jones Polynomial of Torus. Topological quantum computer is related to knots/braids theory where Jones polynomials are characters of the quantum computing. Since the real-zeros of Jones polynomials of torus are observable physical quantities, except the real-zero at 1.0 there exists another distinguished real-zero in 1 < r < 2 for every Jones polynomial of Torus, these unique real zeros can be IDs of torus knots in topological quantum computing.
Category: Mathematical Physics

[2] viXra:1702.0098 [pdf] replaced on 2017-02-10 03:21:43

The First Task of PHPR: From String Theory to Topological Strings in Metaspace

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

From string theory to topstringy.
Category: Mathematical Physics

[1] viXra:1702.0069 [pdf] submitted on 2017-02-04 08:00:54

Foundation of Quantum Mechanics (In Polish)

Authors: M.W.Kalinowski
Comments: 37 Pages.

W pracy rozpatrujemy podstawy mechaniki kwantowej w języku logik kwantowych w zasto- sowaniu do teorii parametrów ukrytych i możliwych uogólnień mechaniki kwantowej. Omawiamy związek mechaniki kwantowej z logikami wielowartościowymi. Wprowadzamy system aksjoma- tyczny Mackaya–Mączyńskiego ogólnego systemu mechanicznego. Badamy ogólne własności ob- serwabli i ich reprezentacje boolowskie. Z aksjomatu QM mechaniki kwantowej wyprowadzamy podstawowe postulaty tej mechaniki. Omawiamy hipotezę o parametrach ukrytych, dyskusję na ich temat oraz paradoks EPR (Einsteina–Podolskiego–Rosena) wraz z nierównością Bella.
Category: Mathematical Physics