[10] **viXra:1504.0206 [pdf]**
*submitted on 2015-04-26 14:25:33*

**Authors:** Ulrich E. Bruchholz, Horst Eckardt

**Comments:** 15 Pages. Physicists and mathematicians believe that the numerical method
is erroneous, despite correct results. But the diverging behaviour
of it belongs to nature, like the chaos.

It is demonstrated how to obtain quantities of free particles and
masses of nuclei from known equations of the electrovacuum
around the particle. A sampling method is used based on a higher number
of numerical tests.
The single computation ends at a geometric limit,
which involves eigenvalues. These eigenvalues, significantly correlating
with known particle values (mass, spin, electric charge,
magnetic moment) and also masses of nuclei, are detected. This
allows predicting particle quantities being unknown up to date.
In particular, possible masses of neutrinos are predicted.
Obtained values are 0.068eV, 0.095eV, 0.155eV, 0.25eV, 0.31eV,
0.39eV, 0.56eV, 1.63eV, 2.88eV, 5.7eV.
The algorithm is explained to some detail.

**Category:** Mathematical Physics

[9] **viXra:1504.0203 [pdf]**
*submitted on 2015-04-26 08:45:42*

**Authors:** Stefan Boersen

**Comments:** 20 Pages.

A gravitational ellipse is the mathematical result of Newton's law of gravitation. [Ref.1]
The equation describing such an ellipse, is obtained by differentiating space-by-time twice.
Le Verrier [Ref.2] stated: 'rotating gravitational ellipses are observed in the solar system'.
One could be asked, to adjust the existing gravitational equation in such a way, that a rotating gravitational ellipse is obtained.
The additional rotation is an extra variable, so the equation will be a three times space-by-time differentiated equation.
In order to obtain a three times space-by-time differentiated equation we need to differentiate space-by-time for the third time.
Differentiating space-by-time twice gives the following result.[Ref.3]
\begin{equation}
\centerline{ $(\ddot{X})^2 + (\ddot{Y})^2 = (\ddot{R} - R \dot{a}^2 )^2 + (R\ddot{a} + 2 \dot{R} \dot{a} )^2 $}
\end{equation}
A third time differentiation of space-by-time gives the result:
\begin{equation}
\centerline{ $(\dddot X )^2 + (\dddot{Y})^2 = (\dddot{R} - 3\dot{R} \dot{a}^2 - 3 R \dot{a} \ddot{a} )^2 + (R\dddot{a} + 3 \dot{R} \ddot{a} + 3 \ddot{R} \dot{a} - R\dot{a}^3 )^2 $}
\end{equation}
We are now simply performing the necessary mathematical exercise to produce the new equation, which describes rotating gravitational ellipses. \newline
\centerline{\includegraphics{20150202_RotatingEllipse.png} }\newline
I assume that the reader accepts the mathematical differential equation, which defines a rotating gravitational motion as observed.
But we now have two equations defining rotating gravitational ellipses as observed in nature:
the EIH equations (Ref.4) and the above equation 2, which obeys the Euclidean space premises.

**Category:** Mathematical Physics

[8] **viXra:1504.0197 [pdf]**
*submitted on 2015-04-25 00:10:24*

**Authors:** Vladimir F. Tamari

**Comments:** 9 Pages. First published as an entry to the 2015 Essay Contest by the Foundational Questions Institute. http://fqxi.org/community/forum/topic/2455

Wigner could not give any explanation why Mathematical laws can describe the the laws of Physics so effectively. My essay justifies his conclusion but does not share it. General Relativity and Quantum Mechanics use very different mathematics and without unified theories both of Physics and of Mathematics where everything is explained starting from simple premises it is impossible to understand how the two fields mesh together so well. I believe however that we should pursue a reductionist theory in Physics and that at the tiniest scale the laws of Physics and Mathematics will be one and the same. Nature has its own logic and Mathematical intelligence is not confined to human beings. Brainless single-celled slime mold can solve mazes and replicate the railway network of Tokyo. The brain also evolved in close proximity to Nature interacting with the Universe at the molecular level. That is the reason why some (but by no means all) of our Mathematics developed by the human mind explains the forces of Nature so well. To demonstrate how such unification of Physics and Mathematics might occur at the tiniest scale, four mathematical aspects of my outline theory of everything Beautiful Universe are presented: Probability, 3D Geometry and Symmetry, Chirality and Discrete Calculus.

**Category:** Mathematical Physics

[7] **viXra:1504.0101 [pdf]**
*submitted on 2015-04-14 02:53:18*

**Authors:** Steve Faulkner

**Comments:** 4 Pages.

Symmetry information beneath wave mechanics is re-examined. Homogeneity of space is the symmetry, fundamental to the quantum free particle. The unitary information of the Canonical Commutation Relation is shown not to be implied by that symmetry.
Keywords:quantum mechanics, wave mechanics, Canonical Commutation Relation, symmetry, homogeneity of space unitary, non-unitary.

**Category:** Mathematical Physics

[6] **viXra:1504.0052 [pdf]**
*submitted on 2015-04-06 16:44:13*

**Authors:** J.Salvador Ruiz Fargueta

**Comments:** 7 Pages.

The study of the hypothetical fractal structure of the vacuum energy offers evidences that before the Big Bang existed a state where the Universe decided its geometric configuration and the nature of the matter and the quantum.

**Category:** Mathematical Physics

[5] **viXra:1504.0045 [pdf]**
*submitted on 2015-04-06 08:23:54*

**Authors:** Jeremy Dunning-Davies

**Comments:** 6 Pages.

The Lagrange equations of motion are familiar to anyone who has worked in physics. However, their range of validity is rarely, if ever, a topic for discussion. Following on an earlier examination of the consequences for these equations if the mass is not assumed constant, this note will look carefully at the other assumptions made and consider any further consequences resulting. The form of the equations applicable in electromagnetism will also be reviewed in the light of these discussions.

**Category:** Mathematical Physics

[4] **viXra:1504.0044 [pdf]**
*submitted on 2015-04-06 08:31:58*

**Authors:** Jeremy Dunning-Davies

**Comments:** 6 Pages.

The entire notion of kinetic energy seems one well and completely understood. Here, however, the topic will be examined again with special emphasis on considering the physical situation when the mass is not constant. The situation in special relativistic mechanics will also be examined in the light of these discussions.

**Category:** Mathematical Physics

[3] **viXra:1504.0042 [pdf]**
*submitted on 2015-04-05 23:47:13*

**Authors:** Temur Z. Kalanov

**Comments:** 2 Pages.

Results of the critical analysis of the standard foundations of mathematics applied to problems in physics are discussed. The unity of formal logic and of rational dialectics is methodological basis of the analysis. The main result is as follows: the concept of “mathematical quantity” – central concept of mathematics – is meaningless, erroneous, and inadmissible one because it represents the following formal-logical and dialectical-materialistic errors: negation of the existence of the essential sign of a concept (i.e., negation the existence of the essence of the concept) and negation of the existence of measure of material object. The obtained results lead to the conclusion that the generally accepted foundations of mathematics should be reconsidered.

**Category:** Mathematical Physics

[2] **viXra:1504.0012 [pdf]**
*replaced on 2015-06-05 13:27:46*

**Authors:** Claude Michael Cassano

**Comments:** 12 Pages.

Using the bijective transformations between the Dirac equation and the special case of the Maxwell-Cassano equations the Dirac equation is expressed as a generalization of Maxwell's equations, via familiar field potentials and field strengths.

**Category:** Mathematical Physics

[1] **viXra:1504.0006 [pdf]**
*replaced on 2015-06-03 07:31:16*

**Authors:** Claude Michael Cassano

**Comments:** 9 Pages.

The Dirac Equation is a Special Case of the Maxwell-Cassano Equations For vector Phi of D The Klein-Gordon equation may be written (see reference (4)): Whenever Phi of D is a 2 to the M-dimensional vector, via a matrix differential operator factorization, it may be written (in the Dirac representation), as shown here: and, since these matrix operators are commutative: conformability of the matrices requires thatthese matrices are all 2×1 matrices; yielding: For symmetry purposes, let: t=ix^0 then, combining into a single matrix equation, Just as there are a number of representations of the Dirac equation, there is more than one matrix operator factorization of the Maxwell-Cassano equations (3). A matrix operator factorization of the Maxwell-Cassano equations may be compactly written, from references (1) and (3) as follows: For the stationary state the source/sink density term vanishes in the Maxwell-Cassano equations, which allows an equating of the Maxwell-Cassano equation & Dirac equation factorizations. These may imply correlations between the Dirac equation and the Maxwell-Cassano equations as the correspondences/mappings: m⇔|m| and -θ_sub_D_to_the_j = f_to_the_h. The Dirac equation may be expanded with the above notation as shown As reference (1) shows. the component pairs may be organized such that this organization exhibits the mass-generalization of Maxwell's equations, but organizing them while comparing them analogously to the Dirac equations yields the shown And, Continuing the comparison with the Maxwell-Cassano equations in the special case: m_sub_zero = -m , m_sub_1=m_sub_2=m_sub_3 = 0: So, extending the Dirac equation beyond the source/sink free case (so looking beyond just eigenvalues and eigenvectors); and writing in matrix form, and comparing: Then, viewing each matrix as a paired sum: In this form the transformations are easy to see: By the invertible matrix theorem each matrix is invertible. Thus, these transformations are oneto - bijective. From the first matrices on each side of the sum, the rest of the transformations are even more easily seen. The full set of transformations are shown, here This proves that the mass-generalized Maxwell's equations (Maxwell-Cassano equations) is a more general analysis of fundamental-elementary particle phenomena. It further proves that the Lagrangian is far simpler than that consisting of the Glashow-Salam-Weinberg + fermion + Higgs + Yukawa kludge. Also, it explains the group structure and architecture of the fermions, as shown in reference (2). It also proves that those with wealth to seek the truth choose not to do so, but with all deceivableness and unrighteousness in them they have not the love of the truth, but rather embrace strong delusion, that they profess a lie. References and further readings (1) Cassano, Claude.Michael ; "Reality is a Mathematical Model", 2010. ISBN: 1468120921 ; http://www.amazon.com/dp/1468120921 ASIN: B0049P1P4C ; http://www.amazon.com/Reality-Mathematical-Modelebook/ dp/B0049P1P4C/ref=tmm(kin(swatch(0?(encoding=UTF8&sr=&qid= (2) Cassano, Claude.Michael ; "A Mathematical Preon Foundation for the Standard Model", 2011. ISBN:1468117734 ; http://www.amazon.com/dp/1468117734 ASIN: B004IZLHI2 ; http://www.amazon.com/ Mathematical-Preon-Foundation-Standardebook/dp/B004IZLHI2/ref=tmm(kin(swatch(0?(encoding=UTF8&sr=&qid= Cassano, Claude.Michael ; "The Standard Model Architecture and Interactions Part 1" ; http://www.dnatube.com/video/6907/ The-Standard-Model-Architecture-and-Interactions-Part-1 http://www.scivee.tv/node/28362 Cassano, Claude.Michael ; "The Standard Model Architecture and Interactions Part 2" ; http://www.youtube.com/watch?v=Mxa2u7-czmk Cassano, Claude.Michael ; "The Standard Model Architecture and Interactions Part 2" ; http://www.dnatube.com/video/6908/ The-Standard-Model-Architecture-and-Interactions-Part-2 (3) Cassano, Claude.Michael ; "A Helmholtzian operator and electromagnetic-nuclear field" ; http://www.dnatube.com/video/6877/ A-Helmholtzian-operator-and-electromagnetic-nuclear-field http://www.scivee.tv/node/27991 (4) Cassano, Claude.Michael ; "A Brief Mathematical Look at the Dirac Equation" ; https://youtu.be/IcWeq6iEwFE http://www.scivee.tv/node/63581

**Category:** Mathematical Physics