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| viXra.org > Mathematical Physics > 2004 |
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[20] viXra:2004.0656 [pdf] submitted on 2020-04-28 03:47:03
Authors: Michele Nardelli, Antonio Nardelli
Comments: 73 Pages.
In this paper we have described and analyzed some Ramanujan expressions. We have obtained several mathematical connections with ϕ and various parameters of Quantum Geometry, String Theory and Particle Physics.
Category: Mathematical Physics
[19] viXra:2004.0635 [pdf] submitted on 2020-04-27 16:52:31
Authors: Dan Visser
Comments: 9 Pages.
In a series of cascade written articles my new formulas give new insights in what dark energy, dark energy force and dark matter is. These unknown features of the universe appear to belong in a new cosmological model, the RTHU (the Rotating Torus Hologram Universe). in a review is given how dark energy is a variable energy in the RTHU, instead of being constant, as in the classical Big Bang universe. Here constant means that the expansion-accelerations of all the observed objects in space-time have the same value. But observations show this is not true. Therefore I bring forward that dark matter is not dark matter. Dark matter is a force: A dark matter force from below the Planckborder. So, this is mathematically involved in the RTHU. Its implementation is explained in this article and it shows dark energy depends on the dark energy force. The combination of both emerges shifted materialized holograms, all being part of the RTHU. In the RTHU dark matter force is based on subquantum-gravitation-particles (‘duo-bits’), which change the dynamics of the quantum-particles. Hereto I published a paragraph “DAN’s Art Symbol of the Hologram Age” in order to promote my RTHU, and because I also make paintings. In an extensive way I show how several dimensional characteristics can be based on simply algebra and a new physics-concept for the conservation of information in order to describe a new cosmological model. This is consequently performed in all of my articles. Moreover I have addded a figure for a machinery to make use of the features of this new cosmological model, which I named: The ‘vacuum-helicopter’. This instrument is based on my formulas for traveling in the Hologram World. In classical terms we call such an ‘ufo’. The “vacuum-helicopter” bypasses space-time of General Relativity through ‘refined-time’.
Category: Mathematical Physics
[18] viXra:2004.0628 [pdf] submitted on 2020-04-27 04:47:57
Authors: Michele Nardelli, Antonio Nardelli
Comments: 74 Pages.
In this paper we have described and analyzed some Ramanujan expressions. We have obtained several mathematical connections with ϕ, ζ(2) and various parameters of Quantum Geometry, String Theory and Cosmology.
Category: Mathematical Physics
[17] viXra:2004.0591 [pdf] submitted on 2020-04-25 06:30:37
Authors: Michele Nardelli, Antonio Nardelli
Comments: 67 Pages.
In this paper we have described and analyzed some Ramanujan expressions. We have obtained several mathematical connections with ϕ and various parameters of Quantum Geometry of Space, String Theory and Particle Physics.
Category: Mathematical Physics
[16] viXra:2004.0581 [pdf] submitted on 2020-04-25 11:40:35
Authors: Michele Nardelli, Antonio Nardelli
Comments: 87 Pages.
In this paper we have described and analyzed some Ramanujan expressions. We have obtained several mathematical connections with ϕ and various parameters of Quantum Geometry, String Theory and Particle Physics.
Category: Mathematical Physics
[15] viXra:2004.0519 [pdf] submitted on 2020-04-22 10:24:36
Authors: Julius Hristov
Comments: 71 Pages.
In the paper we analyze the behavior and properties of solutions to nonlinear Klein-Grordon-Equations. The Phi^4- and Sin-Gordon-System are quantized in terms of annihilation and creation operators and the one-loop semiclassical mass-shift is calculated with help of the DHN-Formula. The paper provides a complete quantizations of kinks and solitons associated with the analyzed systems.
Category: Mathematical Physics
[14] viXra:2004.0508 [pdf] replaced on 2020-05-19 00:52:37
Authors: Helmut Söllinger
Comments: 21 Pages.
By this paper the author shows, that the transformation of the fundamental physical constants c, G, h, e und kc into systems of units, which differ fundamentally from the International System of Units (SI), is a powerful tool to free the numeric values of the constants from their arbitrariness, caused by the historical choice of units. The arbitrariness of units means not at all the careful definition, harmonisation and calibration of units by the international metrological community but the arbitrary scaling of the size of units in the physical sense.
By transferring the fundamental physical constants into systems of units, with extraordinary scales (e.g. Planck scale) or natural scales like the Proton´s dimensions or the value of the Hubble constant one can show the true character of the fundamental physical constants. Such transformations uncover correlations - being searched for a long time – between the important dimensionless constants, such as α = 1/137,036 or mp/me = 1836,15 on the one hand and the constants with dimensions on the other hand.
All in all the paper describes a lot of (numeric) correlations, which could help to find new physical understanding. Apart from that promising fact, the interconnections between the various systems of units and the underlying principles are very revealing, because one should know the effects of changing the physical scales.
Category: Mathematical Physics
[13] viXra:2004.0493 [pdf] submitted on 2020-04-21 12:14:16
Authors: Vito R. D'Angelo
Comments: 4 Pages.
The Pythagorean ratios of the Planck hierarchy schematic - From a mathematical perspective; the key to fundamental universal laws lie at the central tenet of Pythagorean thought...that the universe can be explained by pure numbers,i.e., dimensionless ratios. A Planck constants hierarchy is created that reveals an undiscovered Planck constant:the Planck circumference (lp*pi). The Planck constants hierarchy produces dimensionless ratios, that allow for the first time the theoretical calculation of constants, e.g., the Planck momentum, Planck mass and Planck energy constants. The author honors Pythagoras in naming the ratios of the 13/12 schematic. vixra:1607.0172
Category: Mathematical Physics
[12] viXra:2004.0478 [pdf] replaced on 2020-05-14 03:11:34
Authors: Victor L. Mironov
Comments: 8 Pages. This is revised version of preprint.
We discuss the generalization of phenomenological equations for electromagnetic field in superconductor based on algebra of space-time sedeons. It is shown that the combined system of London and Maxwell equations can be reformulated as a single sedeonic wave equation for the field with nonzero mass of quantum, in which additional conditions are imposed on the scalar and vector potentials, relating them to the deviation of charge density and currents in the superconducting phase. Also we considered inhomogeneous equations including external sources in the form of charges and currents of the normal phase. In particular, a screening of the Coulomb interaction of external charges in a superconducting media is discussed.
Category: Mathematical Physics
[11] viXra:2004.0337 [pdf] submitted on 2020-04-14 05:43:26
Authors: Igor B. Krasnyuk, Andrey E. Zabolotin
Comments: 2 Pages.
An initial boundary value problem to a system of linear Schrodinger equations with
nonlinear boundary conditions is considered. It is shown that attractor of the problem
lies on circles in complex plane. Trajectories tend to xed points of hyperbolic type with
unstable manifold which is formed by saddle points of codimension one. Each element
of the attractor are periodic piecewise constant function on pase and amplitude of a
wave function in WKB -approximation with nite or innite points of discontinuities
on a period of the Julia type. More exactly, it has been obtained limit solutions of
the problem which with accuracy O(h2) match the exact attractor of the boundary
problem, which is independent on h > 0 in the zero WKB - approximation. The
presented mathematical result are applied to the study of dynamics of two charged
particles with opposite impulses, which are conned by two at walls with surface
potentials of double-well type. It is shown that asymptotic behaviour of particles is
similar to the behaviour of orbits that arise to well-known logistic map in complex
plane. As example, there exist limit periodic nearly piecewise constant distributions
of wave functions of Mandelbrot type with Julia type points of 'jumps' for amplitudes
and phases of given free charged particles in a conned box with surface nonlinear
double-well potential at walls in magnetic eld.
Category: Mathematical Physics
[10] viXra:2004.0313 [pdf] submitted on 2020-04-13 01:53:06
Authors: Michele Nardelli
Comments: 52 Pages.
This paper is a review of some interesting results that has been obtained in various sectors of
Noncommutative Cosmology (Noncommutative Quantum Cosmology - NQG, Noncommutative Minisuperspace
Cosmology), string theory and loop quantum gravity.
Category: Mathematical Physics
[9] viXra:2004.0272 [pdf] submitted on 2020-04-12 09:48:22
Authors: Igor B. Krasnyuk
Comments: 27 Pages.
We consider the Schrodinger equation with nonlinear boundary conditions and ini-
tial conditions. It is shown that attractor of the problem contains periodic piecewise
constant function with nite, countable or uncountable points of discontinuities on a
period. Solutions exists for a special class of initial data which are small perturbations
of invariant solutions of dynamical system. The problem is considered with accuracy
O(h2), where h is a small parameter of the problem. Applications to optical resonators
with nonlinear feedback has been considered.
Category: Mathematical Physics
[8] viXra:2004.0241 [pdf] submitted on 2020-04-09 23:56:07
Authors: Makoto Itoh
Comments: 32 Pages.
In this paper, we study the nonlinear waves in autonomous cellular neural networks (CNNs) having double layers of memristor coupling, by using the homotopy method. They can exhibit many interesting nonlinear waves, which are quite different from those in the single-layer autonomous CNNs. That is, the autonomous CNNs with double layers of memristor coupling can exhibit more complex nonlinear waves and more interesting bifurcation phenomena than those in the single layer autonomous CNNs. The above complex behaviors seem to be generated by the interaction with the two nonlinear waves, which are caused by the first layer and the second layer. The most remarkable point in this paper is that the autonomous CNNs with double layers can exhibit complex deformation behaviors of the nonlinear waves, due to the changes in the homotopy parameter. That is, we can generate many complex nonlinear waves by adjusting the homotopy parameter, and thereby we can control the complexity of the nonlinear waves. Furthermore, some autonomous CNNs exhibit the sensitive dependence on the homotopy parameter. That is, a small change in the homotopy parameter can result in large differences in a later state. Thus the homotopy method gives a new approach to the analysis of the complex nonlinear waves in the autonomous CNNs with double layers.
Category: Mathematical Physics
[7] viXra:2004.0224 [pdf] submitted on 2020-04-10 11:08:55
Authors: Michele Nardelli, Antonio Nardelli
Comments: 84 Pages.
In this paper we have described and analyzed some Ramanujan’s Nested Radicals. Furthermore, we have obtained various mathematical connections with ϕ, ζ(2), and several parameters of Cosmology and Particle Physics.
Category: Mathematical Physics
[6] viXra:2004.0170 [pdf] submitted on 2020-04-07 15:36:54
Authors: Michele Nardelli, Antonio Nardelli
Comments: 86 Pages.
In this paper we have described and analyzed some Ramanujan equations and various formulas of Quantum Theory of Fields. Furthermore, we have obtained mathematical connections with ϕ, ζ(2), and some parameters of Particle Physics.
Category: Mathematical Physics
[5] viXra:2004.0162 [pdf] submitted on 2020-04-07 02:01:59
Authors: Michele Nardelli, Roberto Servi, Francesco Di Noto
Comments: 46 Pages.
In the present paper we have described some interesting mathematical applications of the Number Theory to the Heterotic String Theory E8 x E8.
Category: Mathematical Physics
[4] viXra:2004.0126 [pdf] submitted on 2020-04-06 08:16:42
Authors: Michele Nardelli
Comments: 30 Pages.
This paper is principally a review, a thesis, of principal results obtained from various authoritative theoretical physicists and mathematicians in some sectors of theoretical physics and mathematics. We have described various possible mathematical connections between some sectors of Number Theory and String Theory, principally with some equations concerning the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings, some Ramanujan’s identities concerning π and the zeta strings.
Category: Mathematical Physics
[3] viXra:2004.0094 [pdf] submitted on 2020-04-04 14:47:08
Authors: Michele Nardelli, Rosario Turco
Comments: 43 Pages.
In this paper we have described in the Section 1 some equations and theorems concerning the Circle Method applied to the Goldbach’s Conjecture. In the Section 2, we have described some equations and theorems concerning the Circle Method to investigate Germain primes by the Major arcs. In the Section 3, we have described some equations concerning the equivalence between the Goldbach’s Conjecture and the Generalized Riemann Hypothesis. In the Section 4, we have described some equations concerning the p-adic strings and the zeta strings. In conclusion, in the Section 5, we have described some possible mathematical connections between the arguments discussed in the various sections.
Category: Mathematical Physics
[2] viXra:2004.0030 [pdf] submitted on 2020-04-02 07:50:39
Authors: Michele Nardelli, Antonio Nardelli
Comments: 84 Pages.
In this paper we have described several Ramanujan integral equations and Wormholes formulas. Furthermore, we obtain connections with ϕ, ζ(2), and some Standard Model of Particle Physics parameters.
Category: Mathematical Physics
[1] viXra:2004.0007 [pdf] submitted on 2020-04-01 06:59:20
Authors: Michele Nardelli, Antonio Nardelli
Comments: 74 Pages.
In this paper we have described several Ramanujan’s elliptic integrals and Wormholes formulas. Furthermore, we describe new possible mathematical connections with ϕ, ζ(2), and some parameters of High Energy Physics
Category: Mathematical Physics
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