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[13] viXra:2201.0212 [pdf] submitted on 2022-01-30 18:14:56
Authors: David Brown
Comments: 4 Pages. [Corrections made by viXra Admin to conform with scholarly norm]
Milgrom’s Modified Newtonian Dynamics (MOND) has many empirical successes. Is the explanation of MOND’s empirical successes essential for understanding gravitation and cosmology, as well as understanding string theory? This brief communication offers several questions and speculative conjectures concerning MOND and its possible significance vis-à-vis string theory.
Category: Quantum Gravity and String Theory
[12] viXra:2201.0203 [pdf] submitted on 2022-01-30 18:23:49
Authors: Richard L Amoroso, Michael T Hyson, Sabah E Karam, Elizabeth A. Rauscher
Comments: 18 Pages. Submitted to Prespacetime Journal (ISSN: 2153-8301) on 8 January 2022 published by QuantumDream, Inc. – In Review.
Geometrical constraints for general relativity and quantum mechanics are formulated in a multidimensional Cartesian space. A fundamental relationship between these correspondences and complementarity constraints directs us towards a new understanding of the fundamental relationship between relativity and quantum theory. The set of geometrical constraints of this n-dimensional topology are expressed in terms of a hyper-dimensional Minkowski metric, Mn for n > 4 which yields naturally closed cosmological solutions to Einstein’s field equations which also yields compatibility between Einstein’s field equations and the current big bang model without Guth's inflationary model and its possible Googol ~10100 solutions as related to string theory. A comprehensive group theoretical approach to the model of the Cartesian space incorporates dark energy and dark matter which results from the model in a natural manner. A lemma is formulated for the relationship of the maximum invariance for an n-dimensional Cartesian space and the dimensions of that space. Group multiplication tables for the Mn geometry are formulated for a Cartesian 10 and 11 dimensional spaces.
Category: Quantum Gravity and String Theory
[11] viXra:2201.0178 [pdf] submitted on 2022-01-25 00:01:13
Authors: Carlos Castro
Comments: 14 Pages. submitted to physics letters b
Starting with a different action and following a different procedure
than the construction of strings with dynamical tensions described by
Guendelman [1], a variational procedure of our action leads to a coupled
nonlinear system of D + 4 partial differential equations for the D string
coordinates X and the quartet of scalar fields including the
dilaton and the tension T field. Trivial solutions to this system
of complicated equations lead to a constant tension and to the standard
string equations of motion. One of the most relevant features of our findings is that the Weyl invariance of the traditional Polyakov string is traded
for the invariance under area-preserving diffeomorphisms. The final section is devoted to the physics of maximal proper forces (acceleration),
minimal length within the context of Born's Reciprocal Relativity theory
[6] and to the Rindler world sheet description of accelerated open and
closed strings from a very different approach and perspective than the
one undertaken by [7].
Category: Quantum Gravity and String Theory
[10] viXra:2201.0170 [pdf] submitted on 2022-01-25 10:21:29
Authors: Boris Stoyanov
Comments: 78 Pages.
We construct a non-relativistic limit of eleven and ten-dimensional supergravity theories from the point of view of the fundamental symmetries, the higher-dimensional effective action, and the equations of motion. This fundamental limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called Dilatation-invariant Superstring Newton-Cartan geometry and Membrane Newton-Cartan expansion. In order to obtain a finite fundamental limit, the field strength of the eleven-dimensional four-form is required to obey a transverse self-duality constraint, ultimately due to the presence of the Chern-Simons term in eleven dimensions. The present research consider a non-relativistic fundamental limit of the bosonic sector of eleven-dimensional supergravity, leading to a theory based on a Covariant Membrane Newton-Cartan Supergeometry. We further show that the Membrane Newton-Cartan theory can be embedded in the U-duality symmetric formulation of exceptional field theory, demonstrating that it shares the same exceptional Lie algebraic symmetries as the
relativistic supergravity, and providing an alternative derivation of the extra Poisson equation.
Category: Quantum Gravity and String Theory
[9] viXra:2201.0157 [pdf] submitted on 2022-01-24 12:47:12
Authors: Alireza Jamali
Comments: 7 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments and objections are welcome.
It is known that the existence of Planck length and time contradicts the Lorentz-FitzGerald length contraction and time dilation of special relativity. After showing that the solution of this paradox leaves the spacetime transformations undetermined, it is shown that determining the transformations necessitates a new fundamental equation that governs the local amount of spacetime contraction/dilation.
Category: Quantum Gravity and String Theory
[8] viXra:2201.0146 [pdf] submitted on 2022-01-21 21:03:11
Authors: Wen-Xiang Chen
Comments: 3 Pages.
This paper introduces the construction of spontaneous symmetry breaking When the Goldstone boson effective Laplaceman calculates the effective Laplaceman of the Goldstone boson with symmetry breaking $\mathrm{SO}(4) / \mathrm{SO}(3)$. By the result we put the graviton regarded as the Goldstone boson of symmetry breaking $\mathrm{SO}(4) / \mathrm{SO}(3)$.
Category: Quantum Gravity and String Theory
[7] viXra:2201.0139 [pdf] submitted on 2022-01-21 20:34:11
Authors: Carlos Castro
Comments: 9 Pages.
It is shown how the crucial {\bf active diffs} symmetry of General Relativity allows to shift the radial location $ r = 2 G M $ of the horizon associated with the Schwarzschild metric
to the $ r = 0^+$ location of a $diffeomorphic$ metric. In doing so, one ends up with a spacetime void surrounding the singularity at $ r = 0$.
In order to explore the ``interior" region of this void we introduce complex radial coordinates
whose imaginary components have a direct link to the inverse Hawking temperature, and which furnish a path
that provides access to interior region. In addition, we show that the black hole entropy $ { A \over 4 } $ (in Planck units)
is equal to the $area$ of a rectangular strip in the $complex$ radial-coordinate plane associated to this above path. The gist of the physical interpretation behind this construction is that there is an emergence of thermal dimensions which unfolds as one plunges into the interior void region via the use of complex coordinates. And whose imaginary components capture the span of the thermal dimensions. The filling of the void leads to an $emergent$ internal/thermal dimension via the imaginary part $ \beta_r$ of the complex radial variable $ {\bf r } = r + i \beta_r$.
Category: Quantum Gravity and String Theory
[6] viXra:2201.0128 [pdf] replaced on 2022-04-24 21:15:02
Authors: Seamus McCelt
Comments: 7 Pages.
Isaac Newton discovered the true nature gravity in his: F = Gm1m2/r^2 universal law of gravitation equation but didn't realize it.
The gravitational constant: big G is one unit of gravity. The other terms: m1m2/r^2 are the amount.
The dimensions of the gravitational constant are: [L^3]/[M][T^2].
Length cubed [L^3] divided by mass [M] is a specific volume.
Specific volume per second squared (divided by) [T^2] equals acceleration.
That means the gravitational constant is the basic unit or quantum of (in this case) the three dimensional force of gravity.
The three dimensional force [L^3] also explains the precession of the perihelion of Mercury.
Category: Quantum Gravity and String Theory
[5] viXra:2201.0091 [pdf] replaced on 2022-02-14 12:08:28
Authors: Tomasz Kobierzycki
Comments: 1 Page.
In this short paper i present a try to explain how
gravity works on Planck scale and beyond it. Where i use field
equation that connects tensor field with metric and energy. I
present only all mathematical model that is needed for field to work.
Solution to field equation is both a scalar field F and tensor fields:
metric tensor, field tensor and energy tensor. I present no solutions
to this equation in this paper.
Category: Quantum Gravity and String Theory
[4] viXra:2201.0082 [pdf] submitted on 2022-01-14 11:56:46
Authors: Alireza Jamali
Comments: 4 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments, objections or helps are appreciated.
It is known that existence of Planck length and time is in contradiction with fundamental results of special relativity, i.e. length contraction and time dilation. In a previous attempt. I approached the problem from a blindly-formal perspective, but Nature can be more subtle than what formal reasoning can achieve. Although that attempt of mine always had a little value for myself, I (and for that matter nobody) has still come up with a completely satisfactory solution, leaving my previous attempt the only work that at least gets some transformations. In this note I sketch the outlines of another approach that is completely satisfactory, but much more difficult to work out. Although I am not able to get any final result, I write this work to merely share the raw idea; maybe someone can build on this.
Category: Quantum Gravity and String Theory
[3] viXra:2201.0017 [pdf] replaced on 2022-05-17 23:31:21
Authors: Alaya Kouki
Comments: 41 Pages. In French
In this article, we made a link between the cosmological constant and a new universal constant. The densities of vacuum energy as obtained by the way of the cosmological constant and by the way of the new universal constant are equals.
Category: Quantum Gravity and String Theory
[2] viXra:2201.0013 [pdf] submitted on 2022-01-03 13:09:32
Authors: Boris Stoyanov
Comments: 58 Pages.
We have explained, and shown by feature stringy examples, why a D-brane in superstring theory, when treated as a fundamental dynamical object, can be described by a map from an Azumaya/matrix manifold with a fundamental module with a connection to the target spacetime. In this sequel, we construct a non-Abelian Dirac-Born-Infeld action functional for such pairs when the target spacetime is equipped with a background (dilaton, metric, B)-field from closed strings. We next develop a technical tool needed to study variations of this action and apply it to derive the first variation of with respect. The equations of motion that govern the dynamics of D-branes then follow. We introduce a new action standard for D-branes that is to D-branes as the Polyakov action is to fundamental strings. This ‘standard action’ is abstractly a non-Abelian gauged sigma model based on maps from an Azumaya/matrix manifold with a fundamental module with a connection enhanced by the dilaton term, the gauge-theory term, and the Chern-Simons/Wess-Zumino term that couples to Ramond-Ramond field. In a special situation, this new theory merges the theory of harmonic maps and a gauge theory, with a nilpotent type fuzzy extension. A complete action for a D-brane world-volume must include also the Chern-Simons/Wess-Zumino term that governs how the D-brane world-volume couples with the Ramond-Ramond fields . The current notes lay down a foundation toward the dynamics of D-branes along the line of this research project.
Category: Quantum Gravity and String Theory
[1] viXra:2201.0007 [pdf] submitted on 2022-01-02 12:51:06
Authors: Manfred U. E. Pohl
Comments: 3 Pages.
As discussed in previous papers , todays definitions of base quantities Length and Time (space-time) by BIPM are “wrong” due to an faulty reasoning by Einstein. Here it will be briefly summarized how the 5-dimensional space-time as a "measuring instrument" determines the properties of space-time. It is then briefly shown that the speed of light is not a natural constant, but how it is derived from the only natural constant (the circle number π) by radius of the earth and rotational speed of the earth.
Category: Quantum Gravity and String Theory
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