Mathematical Physics

Climate Change Related to Gravity Changes

Authors: Dan Visser
Comments: 6 Pages.

This article presents an extreme-new creative vision on Climate Change. Not CO2, but Gravity Change is the cause of warming-up planet Earth. Therefore different actions than CO2-reductions are needed. The CO2-focus has to slow down, which means the EU-compulsion by “FIT for Fifty” and the related compulsive climate-policy of the Netherlands has to be put to a halt through common sense. Worldwide gas-exploration and -distribution needs to get high-priority again. My idea to realize different actions is building a Reflecting Micro Satellite Shield (RMSS) surrounding planet Earth. In this article I give my authentical notes with explanations on this subject. Thereto the development of quantum-computers for practical purposes, like for RMSS, has to accelerate. Details on this subject has to be worked out by a team of physicists and cosmologists.
Category: Mathematical Physics

Connections Between Condensed Matter and String Theory

Authors: Michele Nardelli
Comments: 17 Pages. [Corrections made to title by viXra Admin to conform with scholarly norm]

In this paper we have developed the following topic: “Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry” of R. Coldea et al. Furthermore, we have showed also the mathematical connections with some sectors of Number Theory, principally with the Ramanujan’s modular equations and the aurea ratio (or golden ratio)
Category: Mathematical Physics

Relativistic Theory of Gravity with Variable Gravitational Constant (Translation of "Relativistische Gravitationstheorie Mit Variabler Gravitationskonstante" by Pascual Jordan)

Authors: Richard L. Amoroso
Comments: 3 Pages. Preprint: 2022 IOP JPCS - The Vigier Centenary Third Regime Natural Science Toward a Physics tf The Observer 12th International Symposium Honoring Noted Mathematical Physicist Jean-Pierre Vigier

Dirac’s idea, that the gravitational constant is in fact not constant, but subject to slow changes during cosmological evolution is explored. The task is to generalize Einstein's general theory of relativity in such a way that, K is no longer a constant, but is treated as an additional (scalar) field quantity. The 5D or projective theory of relativity, founded by Kaluza and others, is recognized as a suitable basis.

This is a translation of "Relativistische Gravitationstheorie mit variabler Gravitationskonstante" by Pascual Jordan)
Category: Mathematical Physics

About the Field Equations of Gravitation with Variable Gravitation Constant (Translation of "Über Die Feldgleichungen Der Gravitation Bei Variabler Gravitationskonstante" by Pascual Jordan and Claus Müller)

Authors: Richard L. Amoroso
Comments: 4 Pages. Preprint: 2022 IOP JPCS - The Vigier Centenary Third Regime Natural Science Toward a Physics tf The Observer 12th International Symposium Honoring Noted Mathematical Physicist Jean-Pierre Vigier

Dirac’s well-known proposal that the gravitational constant changes in the course of cosmological evolution is studied as it relates to requiring fundamental changes to Einstein’s General Theory of Relativity.

This is a translation of "Über die feldgleichungen der gravitation bei variabler gravitationskonstante" by Pascual Jordan and Claus Müller)
Category: Mathematical Physics

Concerning Functions Zeta(s) and Zeta(s,w) and Ramanujan-type Series for 1/Pi

Authors: Michele Nardelli
Comments: 32 Pages. [Corrections made by viXra Admin to conform with scholarly norm]

In this research thesis, we have described some mathematical equations concerning the functions zeta(s) and zeta(s,w) and some Ramanujan-type series for 1/Pi. We obtain several mathematical connections with some equations concerning the p-adic open string for the scalar tachyon field and the zeta strings.
Category: Mathematical Physics

A Cost-effective Strategy for In-flight Trajectory Predictions of Multi-body Configurations

Authors: Shlomy Shitrit, Josef Elimelech
Comments: 20 Pages.

In the present work we study the dynamics of a supersonic missile canopy, separated in-flight. We distinguish between three separation phases: rotation about a fixed hinge, canopy-missile reciprocity, and free-canopy flight regime. The complementary numerical investigation conducted is two-fold. First, a segregated scheme is considered where an aerodynamic model, embodying the different flight phases, is constructed and introduced into a tailored three degrees-of-freedom (3DOF) rigid-body simulation. The aerodynamic model, obtained by quasi-steady RANS computations, consists of various canopy positions and orientations at specified flight conditions, to facilitate high fidelity trajectories based on a lean and efficient dataset. Then, a coupled unsteady-flow and multi-body dynamics framework is considered, and the realized canopy trajectories are compared with those obtained by the segregated approach to a satisfying agreement. The suggested scheme is shown to be beneficial to the robust design of canopy separated configurations.
Category: Mathematical Physics

The Reinterpretation of the "Maxwell Equations"

Authors: Andreas Martin
Comments: 25 Pages.

This publication contains a mathematical approach for a reinterpretation of the "Maxwellequations" under the assumption of a magnetic field density. The basis for this is Faraday'sunipolar induction, which has proven itself in practice, in combination with the calculationrules of vector analysis. The theoretical approach here is the assumption, according to PaulDirac, that there is a magnetic field density.In this publication, the "Maxwell equations" are recalculated in their entirety. It is shown thatboth the temporal change in the magnetic field and the temporal change in the electric fieldcan each be derived from a second-order tensor (matrix), which can be interpreted as a spatialfield distortion tensor. Likewise, both the magnetic field density and the electric field densityare derived from the unipolar induction, according to Faraday. The magnetic field density results from the fact that the div u20d7B is equal to the (Sp)grad Bu20d7 .In addition to the two field distortion tensors grad u20d7B and grad Du20d7 , the velocity gradientgrad u20d7v , which can also be derived from Faraday's unipolar induction, plays an importantrole in the interpretation of spatially distorted fields.
Category: Mathematical Physics

Complexity of Representations of Coefficients of Power Series in Classical Statistical Mechanics. Their Classification and Complexity Criteria

Authors: G.I. Kalmykov
Comments: English version 53 pages. Russian version 57 pages.

It is declared that the aim of simplifying representations of coefficients of power series of classical statistical mechanics is to simplify a process of obtaining estimates of the coefficients using their simplified representations. The aim of the article is: to formulate criteria for the complexity (from the above point of view) of these representations and to demonstrate their application by examples of comparing Ree-Hoover representations of virial coefficients (briefly --- Ree-Hoover representations) and such representations of power series coefficients that are based on the conception of the frame classification of labeled graphs. To solve these problems, mathematical notions were introduced (such as a base product, a base integral, a base linear combination of integrals, a base linear combination of integrals with coefficients of negligible complexity, a base set of base linear combinations of integrals with coefficients of negligible complexity); and a classification of representations of coefficients of power series of classical statistical mechanics is proposed. In this classification the class of base linear combinations of integrals with coefficients of negligible complexity is the most important class. It includes the most well-known representations of the coefficients of power series of classical statistical mechanics. Three criteria are formulated to estimate the comparative complexity of base linear combinations of integrals with coefficients of negligible complexity and their extensions to the totality of base sets of base linear combinations of integrals with coefficients of negligible complexity are constructed. The application of all the constructed criteria is demonstrated by examples of comparing with each other of Ree-Hoover representations and of such power series coefficients representations, which are constructed on the basis of the concept of frame classification of labeled graphs. The obtained results are presented in the tables and commented.
Category: Mathematical Physics

Unification Archimedes Constant π, Golden Ratio φ, Euler's Number e and Imaginary Number I

Authors: Stergios Pellis
Comments: 26 Pages. Published in SSRN Electronic Journal doi.org/10.2139/ssrn.3975869

In the first chapter we will present the definitions,history,relations and arithmetics approximations of Archimedes constant π,golden ratio φ,Euler's number e and imaginary number i. A total of 220 expressions. In the second chapter we will present exact expressions between Archimedes constant π,golden ratio φ,Euler's number e and imaginary number i. A total of 127 expressions. In the third chapter we will present approximations expressions between Archimedes' constant π,the golden ratio φ,the number Euler e and the imaginary number i. A total of 112 expressions.
Category: Mathematical Physics

Crystallography, New Classification and Descriptive Cards

Authors: Giuliano Bettini
Comments: 47 Pages. In Italian.

I present a semi-empirical classification with descriptive cards for each crystal class. A notable feature is that each class is represented in a bidirectional and univocal way by a sequence of 5 characteristic properties. Only five. From these, assuming them as "generators", all the class symmetries get defined.
Category: Mathematical Physics

On the Mathematical Connections Between the Analytical Solutions of the Thomas-Fermi Equation, the Golden Section and the Modes Corresponding to the Physical Vibrations of the Strings.

Authors: Michele Nardelli
Comments: 34 Pages. in Italian

In this paper, we have described the possible mathematical connections between the analytical solutions of the Thomas-Fermi Equation, the Golden Number and the modes corresponding to the physical vibrations of the strings.
Category: Mathematical Physics