Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine t...Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine the measured ordinary energy density of the cosmos which turns out to be intimately linked to the new theory’s fractal dimension via non-integer irrational Lorentzian-like factor: where is Hardy’s probability of quantum entanglement. Consequently, the energy density is found from a limiting classical kinetic energy to be Here, is ‘tHooft’s renormalon of dimensional regularization. The immediate logical, mathematical and physical implication of this result is that the dark energy density of the cosmos must be in astounding agreement with cosmic measurements and observations.展开更多
Using two mathematical models, this paper points out fundamental differences between gravity and the other three fundamental forces (strong and weak nuclear forces and electromagnetic forces). These differences make u...Using two mathematical models, this paper points out fundamental differences between gravity and the other three fundamental forces (strong and weak nuclear forces and electromagnetic forces). These differences make untenable a reconciliation between gravity and the other forces. In conclusion, there is no quantum gravity and consequently, no gravitation-like particles.展开更多
Riemannian geometry has proved itself to be a useful model of the gravitational phenomena in the universe, but generalizations of it to include other forces have so far not been successful. Here we explore an extensio...Riemannian geometry has proved itself to be a useful model of the gravitational phenomena in the universe, but generalizations of it to include other forces have so far not been successful. Here we explore an extension of Riemannian geometry using a complex Hermitian metric tensor. We find that the standard electromagnetic field naturally appears along with two additional fields, which act as mass and charge sources. A first paper set up the basic geometry and derived the Christoffel symbols plus the E&M field equation. This paper continues development with the generalized Riemann curvature tensor, Bianchi identities and the Einstein tensor, laying the basis for field equations. A final paper will then present the field equations.展开更多
The planetary geometries were studied at the moments of 92 strong earthquakes with a magnitude of more than 8 on the Richter scale (R8+) for the period from 1900 to 2011. Three main planetary schemes were specified, n...The planetary geometries were studied at the moments of 92 strong earthquakes with a magnitude of more than 8 on the Richter scale (R8+) for the period from 1900 to 2011. Three main planetary schemes were specified, namely the schemes of the generalized Archimedes lever (gAL) and the Kepler conjunction (gKc), as well as a new geometry of the triangles of the remote signal catcher (cRS). It was discovered 22 gAL, 42 gKc and 28 cRS geometries, which are 23.9%, 45.7%, and 30.4%, respectively, from the total 92 studying cases. It was found that in some earthquakes;the planetary geometries are absolutely identical, which indicates the universality of the mechanism that caused the earthquake. The triggered effect does not depend on the distance between the planets and the mass of the planets, so the mechanism is identified as an inertial gravitational interaction. The triggered effect increases with the multiplicity of the ratio of distances between planets, as well as with pairwise planetary parallelism, which probably indicates about the wave nature of inertial effects. The triggering effect increases with increasing multiplicity of the ratio of distances between planets, as well as with pairwise planetary parallelism, which probably indicates about the wave nature of inertial effects. According to the Archimedes’ lever principle, the Third Law of Motion is changed by adding a few words. It is assumed that inertia is a special case of gravity, namely gravitational self-induction, which really depends, like any self-induction, only on the geometry of the task.展开更多
Modifications of the Weyl-Heisenberg algebra are proposed where the classical limit corresponds to a metric in (curved) momentum spaces. In the simplest scenario, the 2D de Sitter metric of constant curvature in momen...Modifications of the Weyl-Heisenberg algebra are proposed where the classical limit corresponds to a metric in (curved) momentum spaces. In the simplest scenario, the 2D de Sitter metric of constant curvature in momentum space furnishes a hierarchy of modified uncertainty relations leading to a minimum value for the position uncertainty . The first uncertainty relation of this hierarchy has the same functional form as the stringy modified uncertainty relation with a Planck scale minimum value for at . We proceed with a discussion of the most general curved phase space scenario (cotangent bundle of spacetime) and provide the noncommuting phase space coordinates algebra in terms of the symmetric and nonsymmetric metric components of a Hermitian complex metric , such . Yang’s noncommuting phase-space coordinates algebra, combined with the Schrodinger-Robertson inequalities involving angular momentum eigenstates, reveals how a quantized area operator in units of emerges like it occurs in Loop Quantum Gravity (LQG). Some final comments are made about Fedosov deformation quantization, Noncommutative and Nonassociative gravity.展开更多
This article gives an elementary account of the recently proposed theory of spontaneous quantum gravity. It is argued that a viable quantum theory of gravity should be falsifiable, and hence it should dynamically expl...This article gives an elementary account of the recently proposed theory of spontaneous quantum gravity. It is argued that a viable quantum theory of gravity should be falsifiable, and hence it should dynamically explain the observed absence of quantum superpositions of space-time geometries in its classical limit.展开更多
A classical field theory of gravity and electromagnetism is developed. The starting point of the theory is the Maxwell equations which are directly tied to the Riemann-Christoffel curvature tensor. This is done throug...A classical field theory of gravity and electromagnetism is developed. The starting point of the theory is the Maxwell equations which are directly tied to the Riemann-Christoffel curvature tensor. This is done through the derivatives of the Maxwell tensor which are equated to a vector field ?contracted with the curvature tensor, i.e., . The electromagnetic portion of the theory is shown to be equivalent to the classical Maxwell equations with the addition of a hidden variable. Because the proposed equations describing electromagnetism and gravity differ from the classical Maxwell-Einstein equations, their ability to describe classical physics is shown for several situations by direct calculation. The inclusion of antimatter and its behavior in a gravitational field, and the possibility of particle-like solutions exhibiting quantized charge, mass and angular momentum are discussed.展开更多
Riemannian geometry, as a basis for general relativity, can be obtained from the more general Finsler geometry in terms of the Cartan connection and Chern connection, as discussed frequently in the literature. However...Riemannian geometry, as a basis for general relativity, can be obtained from the more general Finsler geometry in terms of the Cartan connection and Chern connection, as discussed frequently in the literature. However, there are other gravity theories that can be made to be equivalent to general relativity but are based on non-Riemannian geometry. Famous examples are the Teleparallel and Symmetric Teleparallel gravity theories. In this paper, we show how to obtain the geometry for Teleparallel gravity from Finsler geometry in terms of a ‘Teleparallel type’ connection.展开更多
In this paper,we explore static spherically symmetric charged wormhole solutions in extended teleparallel gravity taking power-law f(T) models.We consider noncommutative geometry under Lorentzian distribution.In order...In this paper,we explore static spherically symmetric charged wormhole solutions in extended teleparallel gravity taking power-law f(T) models.We consider noncommutative geometry under Lorentzian distribution.In order to obtain matter components,we develop field equations using effective energy-momentum tensor for non-diagonal tetrad.We explore solutions by considering various viable power-law f(T) models,which also include teleparallel gravity case.The violation of energy conditions obtain by exotic matter to form wormhole solutions in teleparallel case while,physical acceptable wormhole solutions exist for charged noncommutative wormhole solutions for some cases of power-law models.The effective energy-momentum tensor and charge are responsible for the violation of the energy conditions.Also,we check the equilibrium condition for these solutions.The equilibrium condition meets for the teleparallel case and some power-law solutions while remaining solutions are either in less equilibrium or in disequilibrium situation.展开更多
In this study,we construct a non-commtative gauge theory of the modified structure of the gravitational field using the Seiberg-Witten map and the general tetrad fields of Schwarzschild space-time to show that the non...In this study,we construct a non-commtative gauge theory of the modified structure of the gravitational field using the Seiberg-Witten map and the general tetrad fields of Schwarzschild space-time to show that the noncommutative geometry removes the singularity at the origin of the black hole,thus obtaining a non-singular Schwarzschild black hole.The geodetic structure of this black hole presents new types of motion next to the event horizon within stable orbits that are not allowed by the ordinary Schwarzschild spacetime.The noncommutative periastron advance of the Mercury orbit is obtained,and with the available experimental data,we find a parameter of non-commutativity on the order of 10^(-25)s·kg^(-1).This result shows that the new fundamental length,√h■,is on the order of 10^(-31)m.展开更多
Based on bipolar dynamic logic and bipolar quantum linear algebra, a causal theory of YinYang bipolar atom is intro-duced in a completely background independent geometry that transcends spacetime. The causal theory le...Based on bipolar dynamic logic and bipolar quantum linear algebra, a causal theory of YinYang bipolar atom is intro-duced in a completely background independent geometry that transcends spacetime. The causal theory leads to an equilibrium-based super symmetrical quantum cosmology of negative-positive energies. It is contended that the new theory has opened an Eastern road toward quantum gravity with bipolar logical unifications of particle and wave, matter and antimatter, relativity and quantum entanglement. Information recovery after a black hole is discussed. It is shown that not only can the new theory be applied in physical worlds but also in logical, mental, social and biological worlds. Falsifiability of the theory is discussed.展开更多
文摘Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine the measured ordinary energy density of the cosmos which turns out to be intimately linked to the new theory’s fractal dimension via non-integer irrational Lorentzian-like factor: where is Hardy’s probability of quantum entanglement. Consequently, the energy density is found from a limiting classical kinetic energy to be Here, is ‘tHooft’s renormalon of dimensional regularization. The immediate logical, mathematical and physical implication of this result is that the dark energy density of the cosmos must be in astounding agreement with cosmic measurements and observations.
文摘Using two mathematical models, this paper points out fundamental differences between gravity and the other three fundamental forces (strong and weak nuclear forces and electromagnetic forces). These differences make untenable a reconciliation between gravity and the other forces. In conclusion, there is no quantum gravity and consequently, no gravitation-like particles.
文摘Riemannian geometry has proved itself to be a useful model of the gravitational phenomena in the universe, but generalizations of it to include other forces have so far not been successful. Here we explore an extension of Riemannian geometry using a complex Hermitian metric tensor. We find that the standard electromagnetic field naturally appears along with two additional fields, which act as mass and charge sources. A first paper set up the basic geometry and derived the Christoffel symbols plus the E&M field equation. This paper continues development with the generalized Riemann curvature tensor, Bianchi identities and the Einstein tensor, laying the basis for field equations. A final paper will then present the field equations.
文摘The planetary geometries were studied at the moments of 92 strong earthquakes with a magnitude of more than 8 on the Richter scale (R8+) for the period from 1900 to 2011. Three main planetary schemes were specified, namely the schemes of the generalized Archimedes lever (gAL) and the Kepler conjunction (gKc), as well as a new geometry of the triangles of the remote signal catcher (cRS). It was discovered 22 gAL, 42 gKc and 28 cRS geometries, which are 23.9%, 45.7%, and 30.4%, respectively, from the total 92 studying cases. It was found that in some earthquakes;the planetary geometries are absolutely identical, which indicates the universality of the mechanism that caused the earthquake. The triggered effect does not depend on the distance between the planets and the mass of the planets, so the mechanism is identified as an inertial gravitational interaction. The triggered effect increases with the multiplicity of the ratio of distances between planets, as well as with pairwise planetary parallelism, which probably indicates about the wave nature of inertial effects. The triggering effect increases with increasing multiplicity of the ratio of distances between planets, as well as with pairwise planetary parallelism, which probably indicates about the wave nature of inertial effects. According to the Archimedes’ lever principle, the Third Law of Motion is changed by adding a few words. It is assumed that inertia is a special case of gravity, namely gravitational self-induction, which really depends, like any self-induction, only on the geometry of the task.
文摘Modifications of the Weyl-Heisenberg algebra are proposed where the classical limit corresponds to a metric in (curved) momentum spaces. In the simplest scenario, the 2D de Sitter metric of constant curvature in momentum space furnishes a hierarchy of modified uncertainty relations leading to a minimum value for the position uncertainty . The first uncertainty relation of this hierarchy has the same functional form as the stringy modified uncertainty relation with a Planck scale minimum value for at . We proceed with a discussion of the most general curved phase space scenario (cotangent bundle of spacetime) and provide the noncommuting phase space coordinates algebra in terms of the symmetric and nonsymmetric metric components of a Hermitian complex metric , such . Yang’s noncommuting phase-space coordinates algebra, combined with the Schrodinger-Robertson inequalities involving angular momentum eigenstates, reveals how a quantized area operator in units of emerges like it occurs in Loop Quantum Gravity (LQG). Some final comments are made about Fedosov deformation quantization, Noncommutative and Nonassociative gravity.
文摘This article gives an elementary account of the recently proposed theory of spontaneous quantum gravity. It is argued that a viable quantum theory of gravity should be falsifiable, and hence it should dynamically explain the observed absence of quantum superpositions of space-time geometries in its classical limit.
文摘A classical field theory of gravity and electromagnetism is developed. The starting point of the theory is the Maxwell equations which are directly tied to the Riemann-Christoffel curvature tensor. This is done through the derivatives of the Maxwell tensor which are equated to a vector field ?contracted with the curvature tensor, i.e., . The electromagnetic portion of the theory is shown to be equivalent to the classical Maxwell equations with the addition of a hidden variable. Because the proposed equations describing electromagnetism and gravity differ from the classical Maxwell-Einstein equations, their ability to describe classical physics is shown for several situations by direct calculation. The inclusion of antimatter and its behavior in a gravitational field, and the possibility of particle-like solutions exhibiting quantized charge, mass and angular momentum are discussed.
基金supported in part by NSFC under Grant No.12075231 and 12047502。
文摘Riemannian geometry, as a basis for general relativity, can be obtained from the more general Finsler geometry in terms of the Cartan connection and Chern connection, as discussed frequently in the literature. However, there are other gravity theories that can be made to be equivalent to general relativity but are based on non-Riemannian geometry. Famous examples are the Teleparallel and Symmetric Teleparallel gravity theories. In this paper, we show how to obtain the geometry for Teleparallel gravity from Finsler geometry in terms of a ‘Teleparallel type’ connection.
文摘In this paper,we explore static spherically symmetric charged wormhole solutions in extended teleparallel gravity taking power-law f(T) models.We consider noncommutative geometry under Lorentzian distribution.In order to obtain matter components,we develop field equations using effective energy-momentum tensor for non-diagonal tetrad.We explore solutions by considering various viable power-law f(T) models,which also include teleparallel gravity case.The violation of energy conditions obtain by exotic matter to form wormhole solutions in teleparallel case while,physical acceptable wormhole solutions exist for charged noncommutative wormhole solutions for some cases of power-law models.The effective energy-momentum tensor and charge are responsible for the violation of the energy conditions.Also,we check the equilibrium condition for these solutions.The equilibrium condition meets for the teleparallel case and some power-law solutions while remaining solutions are either in less equilibrium or in disequilibrium situation.
基金Supported by PRFU Research Project(B00L02UN050120190001)Univ.Batna 1,Algeria。
文摘In this study,we construct a non-commtative gauge theory of the modified structure of the gravitational field using the Seiberg-Witten map and the general tetrad fields of Schwarzschild space-time to show that the noncommutative geometry removes the singularity at the origin of the black hole,thus obtaining a non-singular Schwarzschild black hole.The geodetic structure of this black hole presents new types of motion next to the event horizon within stable orbits that are not allowed by the ordinary Schwarzschild spacetime.The noncommutative periastron advance of the Mercury orbit is obtained,and with the available experimental data,we find a parameter of non-commutativity on the order of 10^(-25)s·kg^(-1).This result shows that the new fundamental length,√h■,is on the order of 10^(-31)m.
文摘Based on bipolar dynamic logic and bipolar quantum linear algebra, a causal theory of YinYang bipolar atom is intro-duced in a completely background independent geometry that transcends spacetime. The causal theory leads to an equilibrium-based super symmetrical quantum cosmology of negative-positive energies. It is contended that the new theory has opened an Eastern road toward quantum gravity with bipolar logical unifications of particle and wave, matter and antimatter, relativity and quantum entanglement. Information recovery after a black hole is discussed. It is shown that not only can the new theory be applied in physical worlds but also in logical, mental, social and biological worlds. Falsifiability of the theory is discussed.
