This paper investigates wormhole solutions within the framework of extended symmetric teleparallel gravity,incorporating non-commutative geometry,and conformal symmetries.To achieve this,we examine the linear wormhole...This paper investigates wormhole solutions within the framework of extended symmetric teleparallel gravity,incorporating non-commutative geometry,and conformal symmetries.To achieve this,we examine the linear wormhole model with anisotropic fluid under Gaussian and Lorentzian distributions.The primary objective is to derive wormhole solutions while considering the influence of the shape function on model parameters under Gaussian and Lorentzian distributions.The resulting shape function satisfies all the necessary conditions for a traversable wormhole.Furthermore,we analyze the characteristics of the energy conditions and provide a detailed graphical discussion of the matter contents via energy conditions.Additionally,we explore the effect of anisotropy under Gaussian and Lorentzian distributions.Finally,we present our conclusions based on the obtained results.展开更多
In this paper the laws of motion of classical particles have been investigated in a non-commutative phase space. The corresponding non-commutative relations contain not only spatial non-commutativity but also momentum...In this paper the laws of motion of classical particles have been investigated in a non-commutative phase space. The corresponding non-commutative relations contain not only spatial non-commutativity but also momentum non-commutativity. First, new Poisson brackets have been defined in non-commutative phase space. They contain corrections due to the non-commutativity of coordinates and momenta. On the basis of this new Poisson brackets, a new modified second law of Newton has been obtained. For two cases, the free particle and the harmonic oscillator, the equations of motion are derived on basis of the modified second law of Newton and the linear transformation (Phys. Rev. D, 2005, 72: 025010). The consistency between both methods is demonstrated. It is shown that a free particle in commutative space is not a free particle with zero-acceleration in the non-commutative phase space, but it remains a free particle with zero-acceleration in non-commutative space if only the coordinates are non-commutative.展开更多
The work gives a natural explanation for the ordinary and dark energy density of the cosmos based on conventional quantum mechanical considerations which dates back as far as the early days of the quantum theory and s...The work gives a natural explanation for the ordinary and dark energy density of the cosmos based on conventional quantum mechanical considerations which dates back as far as the early days of the quantum theory and specifically the work of Max Planck who seems to be the first to propose the possibility of a half quanta corresponding to the ground state, i.e. the energy zero point of the vacuum. Combining these old insights with the relatively new results of Hardy’s quantum entanglement and Witten’s topological quantum field theory as well as the fractal version of M-theory, we find a remarkably simple general theory for dark energy and the Casimir effect.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
Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers ...Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers F = Π-1(X), where Π is a projection of an event on the base space. Relations between initial data and ?nal data are de?ned by group G and a Fiber bundle is de?ned as as set (E, Π, F, G, X).Tangent bundle TX of real linear space X is de?ned by the projection πTX = TX → X; (x,a) → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn+1 and TSn is identi?ed as {(x,a) ∈Rn+1 ×Sn : x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ?bers at each point of X and on top of the two ?bers de?ne the initial input event and the ?nal detection event. When one considers dynamics of leptons de?ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de?ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3' × R4 and the direction of propagation of time on S3 and S'3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) in memoducers.展开更多
Einstein claimed that one cannot de?ne global time, and proposed de?ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact wi...Einstein claimed that one cannot de?ne global time, and proposed de?ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi (i = 1, …, 4) and xi (i = 1, …,4). In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi (i = 1, ···, 4), ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j (i /= j ∈{1,2,3,4}). Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ?x4' and G23 x4'= ?x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ?bers from a point of S3 basis, and on top of ?bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de?ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → (S3 × R4) × (S3 × R4). We assume there is a space-time representation by an algebra C(V) of smooth function and matrix algebra Mnand transformations A are expressed as A = C(V ) Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO(3 + n^2 -1,1)-SO(3,1) × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ? R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → (H →bb) + ll +jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy (TR-NEWS) method.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
The effective action of chiral QCD2 was studied in two-dimensional non-commutative space-time by usingpath integral approach. It is shown that vector boson has a mass generation and the effective Lagrangian contains a...The effective action of chiral QCD2 was studied in two-dimensional non-commutative space-time by usingpath integral approach. It is shown that vector boson has a mass generation and the effective Lagrangian contains aterm corresponding to a Wess-Zumino-Witten-like term.展开更多
基金DST,New Delhi,India,for its financial support for research facilities under DSTFIST-2019。
文摘This paper investigates wormhole solutions within the framework of extended symmetric teleparallel gravity,incorporating non-commutative geometry,and conformal symmetries.To achieve this,we examine the linear wormhole model with anisotropic fluid under Gaussian and Lorentzian distributions.The primary objective is to derive wormhole solutions while considering the influence of the shape function on model parameters under Gaussian and Lorentzian distributions.The resulting shape function satisfies all the necessary conditions for a traversable wormhole.Furthermore,we analyze the characteristics of the energy conditions and provide a detailed graphical discussion of the matter contents via energy conditions.Additionally,we explore the effect of anisotropy under Gaussian and Lorentzian distributions.Finally,we present our conclusions based on the obtained results.
基金National Natural Science Foundation of China(10347003,60666001)Planned Training Excellent Scientific Technological Youth Foundation of Guizhou Province,China(2002,2013)Science Foundation of Guizhou Province,China Creativity Foundation for Graduate Guizhou University,China(2006031)
文摘In this paper the laws of motion of classical particles have been investigated in a non-commutative phase space. The corresponding non-commutative relations contain not only spatial non-commutativity but also momentum non-commutativity. First, new Poisson brackets have been defined in non-commutative phase space. They contain corrections due to the non-commutativity of coordinates and momenta. On the basis of this new Poisson brackets, a new modified second law of Newton has been obtained. For two cases, the free particle and the harmonic oscillator, the equations of motion are derived on basis of the modified second law of Newton and the linear transformation (Phys. Rev. D, 2005, 72: 025010). The consistency between both methods is demonstrated. It is shown that a free particle in commutative space is not a free particle with zero-acceleration in the non-commutative phase space, but it remains a free particle with zero-acceleration in non-commutative space if only the coordinates are non-commutative.
文摘The work gives a natural explanation for the ordinary and dark energy density of the cosmos based on conventional quantum mechanical considerations which dates back as far as the early days of the quantum theory and specifically the work of Max Planck who seems to be the first to propose the possibility of a half quanta corresponding to the ground state, i.e. the energy zero point of the vacuum. Combining these old insights with the relatively new results of Hardy’s quantum entanglement and Witten’s topological quantum field theory as well as the fractal version of M-theory, we find a remarkably simple general theory for dark energy and the Casimir effect.
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Einstein claimed that one cannot de?ne global time, and in order to formulate physical dynamics, it is useful to adopt ?ber bundle structure. We de?ne topological space E which consists of base space X and ?bers F = Π-1(X), where Π is a projection of an event on the base space. Relations between initial data and ?nal data are de?ned by group G and a Fiber bundle is de?ned as as set (E, Π, F, G, X).Tangent bundle TX of real linear space X is de?ned by the projection πTX = TX → X; (x,a) → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn+1 and TSn is identi?ed as {(x,a) ∈Rn+1 ×Sn : x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ?bers at each point of X and on top of the two ?bers de?ne the initial input event and the ?nal detection event. When one considers dynamics of leptons de?ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de?ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3' × R4 and the direction of propagation of time on S3 and S'3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) in memoducers.
文摘Einstein claimed that one cannot de?ne global time, and proposed de?ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi (i = 1, …, 4) and xi (i = 1, …,4). In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi (i = 1, ···, 4), ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j (i /= j ∈{1,2,3,4}). Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ?x4' and G23 x4'= ?x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ?bers from a point of S3 basis, and on top of ?bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de?ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → (S3 × R4) × (S3 × R4). We assume there is a space-time representation by an algebra C(V) of smooth function and matrix algebra Mnand transformations A are expressed as A = C(V ) Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO(3 + n^2 -1,1)-SO(3,1) × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ? R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → (H →bb) + ll +jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy (TR-NEWS) method.
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The effective action of chiral QCD2 was studied in two-dimensional non-commutative space-time by usingpath integral approach. It is shown that vector boson has a mass generation and the effective Lagrangian contains aterm corresponding to a Wess-Zumino-Witten-like term.