Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2106.05943

An analytical model for the Maxwell radiation field in an axially symmetric galaxy

Mayeul Arminjon
View original source ↗Read source document ↗Export metadata ↓

Abstract

The Maxwell radiation field is an essential physical characteristic of a galaxy. Here, an analytical model is built to simulate that field in an axisymmetric galaxy. This analytical model is based on an explicit representation for axisymmetric source-free Maxwell fields. In a previous work, the general applicability of this representation has been proved. The model is adjusted by fitting to it the sum of spherical radiations emitted by the composing "stars". The huge ratio distance/wavelength needs to implement a numerical precision better than the quadruple precision. The model passes a validation test based on a spherically symmetric solution. The results for a set of "stars" representative of a disk galaxy indicate that the field is highest near to the disk axis, and there the axial component of ${\bf E}$ dominates over the radial one. This work will allow us in the future to check if the interaction energy predicted by an alternative theory of gravitation might be a component of dark matter. {\bf Keywords:} Disk galaxy; Maxwell equations; axial symmetry; exact solutions; numerical model; dark matter.

Explore related subjects

physics.gen-ph

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Mayeul Arminjon. 2021-03-23. An analytical model for the Maxwell radiation field in an axially symmetric galaxy. https://doi.org/10.1515/phys-2021-0008

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Static Universe: Infinite, Eternal and Self-Sustainable

In this paper, we present a "stellar dynamics" model of an infinite Universe, where matter distribution follows an inverse proportionality squared relationship with respect to the distance from the rotation center of galaxy clusters and superclusters (which share a common rotation center). We assume the Universe has infinite similar centers in terms of structure and dynamic equilibrium. We consider stars in galaxies to be homogeneously distributed with spherical symmetry and average radius, and the same applies to galaxies in the Universe. We study the smoothed potential of this universe and examine the effect of gravity on starlight: by applying the equivalence principle, we derive a mathematical expression for Hubble's law and a formula for its redshift, potentially explaining this phenomenon as a gravitational effect. We also provide an approximate calculation of Cosmic Background Radiation (CBR), assuming this radiation is the light from all the universe's stars reaching us with an extreme redshift caused by gravity.

physics.gen-ph↗
arXiv2026

One-dimensional Coulomb Problem in GUP Formalism

We investigate the one-dimensional Coulomb problem on the positive half-line for a fourth-order Schrödinger equation generated by a commonly used realization of the Generalized Uncertainty Principle (GUP). The problem is treated directly in position space by a higher-order Bethe--Ansatz construction, with the wave function represented as a polynomial multiplied by an exponential factor. The resulting residue conditions yield an analytic quantization condition and explicit polynomial solutions for the first three bound states. We identify the branch that is continuously connected to the ordinary Coulomb problem and show that its energies, decay constants, polynomial factors, and Bethe--Ansatz roots recover the ordinary half-line Coulomb results in the vanishing-deformation limit. On this Coulomb-connected branch, the deformation produces a lower admissibility bound on the principal quantum number, while arbitrarily high quantum numbers remain admissible. We also discuss the physical interpretation of the deformation strength: for ordinary microscopic systems, the weak-GUP regime is the conservative expectation in Planck-scale motivated models, whereas intermediate and strong regimes are primarily theoretical regimes in the present analysis. Since the differential equation is truncated at first order in the GUP parameter, quantitative predictions outside the weak-deformation regime should be interpreted with care.

physics.gen-ph↗
arXiv2026

Could the Fundamental Laws of Nature be Inferred Mathematically from Only Few Axioms?

The answer is "Yes". As it has been shown in the Ref.[1] (22 Sep.2017, see also the comments), useing a new definite mathematical axiomatic-algebraic matrix approach, all the fundamental laws of nature could be derived uniquely (where the axiom of "no zero divisors" of the ring of integers has been generilzed and written in a new definite formulation, then basically assuming that all the physical quantities could only and only take the rational values). Based on this new mathematical approach along with the C, P and T symmetries of the derived field equations, it is concluded that the universe could be realized solely with the (2+1) and (3+1)-dimensional space-times. Moreover it is shown that the (3+1) dimensional cases of the directly determined general covariant field equations (including two definite classes: a two indexes and a four indexes tensor fields), respectively, represent two new massive forms of the bispinor fields of spin-1and spin-2 particles; and the (2+1)-dimensional cases of the drived equations (including: a two indexes and a four indexes tensor fields), represent (asymptotically) two new massive forms of the bispinor fields of spin-3/2 and spin-1/2 particles, respectively. As a particular result, based on the formulation of the derived Electromagnetic Maxwell equations (representing by the bispinor fields of spin-1 particles, including new field equations - corresponding to the YangMills equations - compatible with two specified forms of the gauge symmetry groups), it has been concluded that magnetic monopoles could not exist in the nature to any extend. Furthermore, as the only elementary particles that could be existed in nature, along with the all discovered particles, eight new particles, including four charge-less right-handed spin-1/2 fermions (two leptons and two quarks), and a spin-3/2 fermion, and also three spin-1 massive bosons are also solely predicted.

physics.gen-ph↗