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| viXra.org > Mathematical Physics > 2111 |
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[10] viXra:2111.0131 [pdf] replaced on 2022-02-18 17:23:34
Authors: Stephen H. Jarvis
Comments: 36 Pages.
Presented here is an empirical time-domain basis for classical mechanics and the associated derivation of c (where at c time=0) as a constant for the unique and independent references of non-zero mass bodies in relative motion. Here, general relativity shall be analysed and those energy requirements which lead to the cosmological constant problem and associated requirement for dark energy. To resolve the cosmological constant problem a new basis for the causality of mass and gravity as a new over-arching temporal scheme of cause-effect shall be presented as one that upholds the time-domain datum reference of physical phenomena of time-now, explaining why physical phenomena is associated exclusively to the time-now time-domain. Here also shall be derived the basis for the equivalence principle and associated conservation of momentum principle. In this process of derivation shall be presented a solution to the ”proton radius puzzle” also forming the basis for cosmic ray (solar wind) generation. Upon all of such shall be derived the known field forces with their empirical basis revealed, presenting the case for a unified field theory.
Category: Mathematical Physics
[9] viXra:2111.0116 [pdf] submitted on 2021-11-24 04:03:20
Authors: Miftachul Hadi
Comments: 7 Pages.
The refractive index and curvature relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, we found that the refractive index should be a second rank tensor. The second rank tensor of the refractive index describes a linear optics. It implies naturally that the Riemann-Christoffel curvature tensor is related to the linear optics. In case of a non-linear optics, the refractive index is a sixth rank tensor, if susceptibility is a fourth rank tensor. The Riemann-Christoffel curvature tensor can be formulated in the non-linear optics but with a reduction term. The relation between the (linear and non-linear) refractive index and a (linear and non-linear) mass in curved space are formulated. Related to the Riemann-Christoffel curvature tensor, we formulate "the (linear and non-linear) generalized Einstein field equations". Sine-Gordon model in curved space is shown, where the Lagrangian is the total energy. This total energy is the mass of a kink (anti-kink) associated with a topological charge (a winding number). We formulate the relation between the (linear and non-linear) refractive index of the kink (anti-kink) and the topological charge-the winding number. Deflection of light is discussed in brief where the (linear and non-linear) angle of light deflection are formulated in relation with the mass (the topological charge, the winding number) of the kink (anti-kink).
Category: Mathematical Physics
[8] viXra:2111.0101 [pdf] submitted on 2021-11-21 11:08:38
Authors: Alireza Jamali
Comments: 3 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments and objections are welcome.
As a result of my recent work on (special) Relativity in Function Spaces, here I present a derivation of the L^1-norm distance from the analogue of Minkowski metric (of special relativity) for a function space.
Category: Mathematical Physics
[7] viXra:2111.0097 [pdf] submitted on 2021-11-21 20:13:06
Authors: Michele Nardelli, Antonio Nardelli
Comments: 127 Pages. [Corrections to title on the submission form made by viXra Admin]
In this research paper we analyze two Ramanujan’s equations of the “Ramanujan’s first letter to Hardy”. We describe new possible mathematical connections with various sectors of String Theory (Supersymmetry Breaking).
Category: Mathematical Physics
[6] viXra:2111.0095 [pdf] submitted on 2021-11-20 07:58:20
Authors: Yoshiki Ueoka
Comments: 12 Pages.
I suggest a new approximate approach, the Multipoints Summation method, to
solve non-linear differential equations analytically. The method connects several
local asymptotic series. I present applications of the method to two examples of
non-linear differential equations: saddle-node bifurcation and the non-linear differential
equation of the pendulum. Explicit approximate solutions expressed in
terms of elementary functions are obtained from an analysis of phase space. This
approach may be also applied to other non-linear differential equations.
Category: Mathematical Physics
[5] viXra:2111.0076 [pdf] submitted on 2021-11-16 14:53:01
Authors: Jose Salvador Ruiz Fargueta
Comments: 6 Pages.
The fractal hypothesis of vacuum energy allows to investigate the theoretical compact dimensions of string theory, and its relationship with the nature of the quantum of action.
Category: Mathematical Physics
[4] viXra:2111.0045 [pdf] replaced on 2021-11-16 01:59:09
Authors: Stephen H. Jarvis
Comments: 70 Pages.
Presented here is an axiom for time that underwrites a time-equation leading to the development of a temporal wave function for space, deriving the atomic locale and associated fundamental atomic descriptors of the fine structure constant (α), Planck’s constant (h), and gravitational constant (G), as per the derivation of an “electron degeneracy neutrino”, all using a formalism of logic called Temporal Mechanics. Through this process it is then possible to derive the phenomenal metrics of the sun (temperature, radius, luminosity, and corona). Via all of such a case is presented for a new theoretic approach for cosmology theory.
Category: Mathematical Physics
[3] viXra:2111.0031 [pdf] submitted on 2021-11-05 20:55:52
Authors: Michael Griffin
Comments: 12 Pages. contact email mdg46@juno.com
A single-field approach to a unified field theory for physics defines space-time as MC. The Lorentz transform factor results as the distortion effect of enfielded mass. Euler’s identity is the missing field factor or action principle to indicate the enfielding of energy into matter. The relative exponential differences between the four fundamental forces are then explained by the Euler factor’s spin. This makes the factor into a hidden-variable patch for any field theory.
Category: Mathematical Physics
[2] viXra:2111.0011 [pdf] submitted on 2021-11-02 13:32:02
Authors: Jose Salvador Ruiz Fargueta
Comments: 5 Pages.
The vacuum energy depends on the inverse of the distance. That simple dependency may be hiding the geometry of the compact dimensions from string theory.
Category: Mathematical Physics
[1] viXra:2111.0001 [pdf] submitted on 2021-11-01 17:47:33
Authors: Rosario Turco, Maria Colonnese, Michele Nardelli
Comments: 33 Pages.
The authors in this article show how, starting from the simple continued fractions, one can reach the most advanced theories of physics, as the connections between the prime numbers and the strings adic, adelic and zeta-strings, furthermore the connections between the mathematics of the fractals and the golden number. In particular the areas examined in the following are: "zeta nonlocal scalar fields", "Lagrangians with Riemann zeta functions" and "Lagrangians for adelic strings.
Category: Mathematical Physics
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