Mathematical Physics

1502 Submissions

[11] viXra:1502.0242 [pdf] submitted on 2015-02-27 09:40:01

Conundrums Overlooked in Physics for Evermore ...

Authors: Elemer Elad Rosinger
Comments: 7 Pages.

Another ... friendly and creative ... author-editor interaction is presented in which several basic conundrums in physics are mentioned, conundrums no physicist seems to care about ...
Category: Mathematical Physics

[10] viXra:1502.0225 [pdf] submitted on 2015-02-25 09:35:26

A Mathematical Approach to Physical Realism

Authors: Carsten S.P. Spanheimer
Comments: 9 Pages.

I propose to ask mathematics itself for the possible behaviour of nature, with the focus on starting with a most simple realistic model, employing a philosophy of investigation rather than invention when looking for a unified theory of physics. Doing a 'mathematical experiment' of putting a least set of conditions on a general time-dependent manifold results in mathematics itself inducing a not too complex 4-dimensional object similar to our physical spacetime, with candidates for gravitational and electromagnetic fields emerging on the tangent bundle. This suggests that the same physics might govern spacetime not only on a macroscopic scale, but also on the microscopic scale of elementary particles, with possible junctions to quantum mechanics.
Category: Mathematical Physics

[9] viXra:1502.0186 [pdf] replaced on 2015-09-01 04:28:15

Foundations of a Mathematical Model of Physical Reality

Authors: J.A.J. van Leunen
Comments: 75 Pages.

This paper starts from the idea that physical reality implements a network of a small number of mathematical structures. Only in that way can be explained that observations of physical reality fit so well with mathematical methods. The mathematical structures do not contain mechanisms that ensure coherence. Thus apart from the network of mathematical structures a model of physical reality must contain mechanisms that manage coherence such that dynamical chaos is prevented. Reducing complexity appears to be the general strategy. The structures appear in chains that start with a foundation. The strategy asks that especially in the lower levels, the subsequent members of the chain emerge with inescapable self-evidence from the previous member. The chains are interrelated and in this way they enforce mutual restrictions. As a consequence the lowest levels of a corresponding mathematical model of physical reality are rather simple and can easily be comprehended by skilled mathematicians. In order to explain the claimed setup of physical reality, the paper investigates the foundation of the major chain. That foundation is a skeleton relational structure and it was already discovered and introduced in 1936. The paper does not touch more than the first development levels. The base model that is reached in this way puts already very strong restrictions to more extensive models. Some of the features of the base model are investigated and compared with results of contemporary physics.
Category: Mathematical Physics

[8] viXra:1502.0147 [pdf] replaced on 2015-05-18 02:20:02

Remarkable Properties of the Eddington Number 137 and Electric Parameter 137.036 Excluding the Multiverse Hypothesis

Authors: Francis M. Sanchez
Comments: 19 Pages.

Considering that the Large Eddington Number has correctly predicted the number of atoms in the Universe, the properties of the Eddington electric number 137 are studied. This number shows abnormal arithmetic properties, in liaison with the 5th harmonic number 137/60. It seems that Egyptians was aware of this, as the architecture of the Hypostyle Karnak room reveals, as well as the Ptolemaic approximation p ≈ 2 + 137/120, together with a specific mention in the Bible, and overhelming connexions with musical canonic numbers. The SO(32) characteristic superstring number 496, the third perfect number, connects directly with the three main interaction parameters, and is very close to the square root of the Higgs boson-electron mass ratio, so the Higgs boson discovery excludes the Multiverse, favoring rather a unique Cosmos being a finite computer using 137 and its extension 137.036 as calculation basis. The direct liaison between the mean value of the two main cosmic radiuses and the Bohr radius through the simplest harmonic series excludes any role of chance. Precise symmetric relations involving the Kotov non-Doppler period permit to propose precise (100 ppb) values for the weak and strong interaction constants, as well as G ≈ 6.675464346 × 10^-11 kg-1 m3 s-2, at 2 sigmas higher than the tabulated value. This value is confirmed by a direct connection with the Superspeed ratio C/c ≈ 6.945480 × 10^60.
Category: Mathematical Physics

[7] viXra:1502.0130 [pdf] submitted on 2015-02-16 06:13:26

Computational and Mathematical Methods in the Physicalist Program

Authors: Miguel A. Sanchez-Rey
Comments: 8 Pages.

We will attempt to resolve a long-standing and important problem in gauge theory. We will also delve further into theoretical mathematics and computation.
Category: Mathematical Physics

[6] viXra:1502.0072 [pdf] submitted on 2015-02-10 02:02:19

Cross-Correlation in Cricket Data and RMT

Authors: Manu Kalia, Saugata Ghosh
Comments: 13 pages, 6 figures

We analyze cross-correlation between runs scored over a time interval in cricket matches of different teams using methods of random matrix theory (RMT). We obtain an ensemble of cross-correlation matrices $C$ from runs scored by eight cricket playing nations for (i) test cricket from 1877 -2014 (ii)one-day internationals from 1971 -2014 and (iii) seven teams participating in the Indian Premier league T20 format (2008-2014) respectively. We find that a majority of the eigenvalues of C fall within the bounds of random matrices having joint probability distribution $P(x_1\ldots,x_n)=C_{N \beta} \, \prod_{j<k}w(x_j)\left | x_j-x_k \right |^\beta$ where $w(x)=x^{N\beta a}\exp\left(-N\beta b x\right)$ and $\beta$ is the Dyson parameter. The corresponding level density gives Marchenko-Pastur (MP) distribution while fluctuations of every participating team agrees with the universal behavior of Gaussian Unitary Ensemble (GUE). We analyze the components of the deviating eigenvalues and find that the largest eigenvalue corresponds to an influence common to all matches played during these periods.
Category: Mathematical Physics

[5] viXra:1502.0048 [pdf] replaced on 2016-08-19 04:57:02

PCT, Spin, Lagrangians

Authors: Hans Detlef Hüttenbach
Comments: 18 Pages.

In this paper I invite you to take a step aside current quantum field theory (QFT): QFT has been said to be "well-established" since the 80's of the last century by its foremost theorists), and the majority of physicists consider it to be essentially complete since the discovery of the Higgs particle. It will be interesting to see, what that really means: What are the problems left over to the younger generations? I'll show you that a.o. it fails in its Lagrangian formalism, its postulate of positivity of energy, I'll show the uselessness of the uncertainty principle as to electromagnetic fields, and we'll see that there are serious doubts as to its conception of the photonic nature of electromagnetic fields, which a simple experiment could test against.
Category: Mathematical Physics

[4] viXra:1502.0035 [pdf] submitted on 2015-02-04 14:36:56

The Anomalous Nambu-Goldstone Theorem in Relativistic/Nonrelativistic Quantum Field Theory. II

Authors: Tadafumi Ohsaku
Comments: 24 Pages.

Several aspects of the anomalous Nambu-Goldstone theorem are noted/listed and discussed.
Category: Mathematical Physics

[3] viXra:1502.0034 [pdf] submitted on 2015-02-04 14:39:00

The Anomalous Nambu-Goldstone Theorem in Relativistic/Nonrelativistic Quantum Field Theory. III

Authors: Tadafumi Ohsaku
Comments: 8 Pages.

Some mathematical aspects of holonomy in the Nambu-Goldstone theorem are discussed. A unied theorem of the normal, generalized, and anomalous Nambu-Goldstone theorems are presented.
Category: Mathematical Physics

[2] viXra:1502.0033 [pdf] submitted on 2015-02-04 14:40:41

The Mathematical Structure of Quantum Nambu Mechanics and Neutrino Oscillations

Authors: Tadafumi Ohsaku
Comments: 22 Pages.

Some Lie-algebraic structures of three-dimensional quantum Nambu mechanics are studied. From our result, we argue that the three-dimensional quantum Nambu mechanics is a natural extension of the ordinary Heisenberg quantum theory, and we give our insight that we can construct several candidates "beyond the Heisenberg quantum theory".
Category: Mathematical Physics

[1] viXra:1502.0032 [pdf] submitted on 2015-02-04 14:42:43

A Manifestation Toward the Nambu-Goldstone Geometry

Authors: Tadafumi Ohsaku
Comments: 63 Pages.

Various geometric aspects of the Nambu-Goldstone ( NG ) type symmetry breakings ( normal, generalized, and anomalous NG theorems ) are summarized, and their relations are discussed. By the viewpoint of Riemannian geometry, Laplacian, curvature and geodesics are examined. Theory of Ricci ow is investigated in complex geometry of the NG-type theorems, and its diusion and stochastic forms are derived. In our anomalous NG theorems, the structure of symplectic geometry is emphasized, Lagrangian submanifolds and mirror duality are noticed. Possible relations between the Langlands correspondence, the Riemann hypothesis and the geometric nature of NG-type theorems are given.
Category: Mathematical Physics