We study electromechanical felds in the anti-plane deformation of an infnite medium of piezoelectric materials of 6 mm symmetry with a circular cylindrical hole. The theory of electro- elastic dielectrics with electri...We study electromechanical felds in the anti-plane deformation of an infnite medium of piezoelectric materials of 6 mm symmetry with a circular cylindrical hole. The theory of electro- elastic dielectrics with electric feld gradient in the constitutive relations is used. Special attention is paid to the felds near the surface of the hole.展开更多
The paper is concerned with spherically symmetric static problem of the Classical Gravitation Theory (CGT) and the General Relativity Theory (GRT). First, the Dark Stars, i.e. the objects that are invisible because of...The paper is concerned with spherically symmetric static problem of the Classical Gravitation Theory (CGT) and the General Relativity Theory (GRT). First, the Dark Stars, i.e. the objects that are invisible because of high gravitation preventing the propagation of light discovered in the 18th century by J. Michel and P. Laplace are discussed. Second, the Schwarzchild solution which was obtained in the beginning of the 20th century for the internal and external spaces of the perfect fluid sphere is analyzed. This solution results in singular metric coefficients and provides the basis of the Black Holes. Third, the general metric form in spherical coordinates is introduced and the solution of GRT problem is obtained under the assumption that gravitation does not affect the sphere mass. The critical sphere radius similar to the Black Hole horizon of events is found. In contrast to the Schwarzchild solution, the radial metric coefficient for the sphere with the critical radius referred to as the Dark Star is not singular. For the sphere with radius which is less than the critical value, the GRT solution becomes imaginary. The problem is discussed within the framework of the phenomenological theory which does not take into account the actual microstructure of the gravitating objects and, though the term “star” is used, the analysis is concerned with a model fluid sphere rather than with a real astrophysical object.展开更多
The formation of mini black holes is now considered to be a well-established and inescapable consequence of TeV scale particle collision scenarios in extra-dimensional/ADD models. Further, such mini black holes have b...The formation of mini black holes is now considered to be a well-established and inescapable consequence of TeV scale particle collision scenarios in extra-dimensional/ADD models. Further, such mini black holes have been predicted to be produced at prodigious rates, of several thousand per year. Therefore, the continued null results from detector searches so far, including the most recent LHC runs of √s = 14 TeV, seem to suggest that new ideas may be critical for further advances in high energy physics. In this manuscript, we use a geometrical algorithm, inspired by general relativity, in particular Kerr-Newman de-Sitter black holes, to explore the non-perturbative (infra-red) sector of QCD. This has led us to a novel and more refined search criteria for LHC data compared to previous methods. We also explain why the current search has yielded null results. Our predictions are readily testable at detector sites. More importantly, our approach provides promising solutions to several long-standing problems, such as the hierarchy problem, problems with the continued failed attempts to integrate gravity into the standard model, and finally quark confinement.展开更多
Let A ∈ B（X） and B ∈ B（Y）, Me be an operator on Banach space X ＋ Y given by Mc =（A C 0 B）A generalized Drazin spectrum defined by σgD（T） = {λ∈C ： T-λI is not generalized Drazin invertible} is considere...Let A ∈ B（X） and B ∈ B（Y）, Me be an operator on Banach space X ＋ Y given by Mc =（A C 0 B）A generalized Drazin spectrum defined by σgD（T） = {λ∈C ： T-λI is not generalized Drazin invertible} is considered in this paper. It is shown that展开更多
基金Project supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State EducationMinistry.
文摘We study electromechanical felds in the anti-plane deformation of an infnite medium of piezoelectric materials of 6 mm symmetry with a circular cylindrical hole. The theory of electro- elastic dielectrics with electric feld gradient in the constitutive relations is used. Special attention is paid to the felds near the surface of the hole.
文摘The paper is concerned with spherically symmetric static problem of the Classical Gravitation Theory (CGT) and the General Relativity Theory (GRT). First, the Dark Stars, i.e. the objects that are invisible because of high gravitation preventing the propagation of light discovered in the 18th century by J. Michel and P. Laplace are discussed. Second, the Schwarzchild solution which was obtained in the beginning of the 20th century for the internal and external spaces of the perfect fluid sphere is analyzed. This solution results in singular metric coefficients and provides the basis of the Black Holes. Third, the general metric form in spherical coordinates is introduced and the solution of GRT problem is obtained under the assumption that gravitation does not affect the sphere mass. The critical sphere radius similar to the Black Hole horizon of events is found. In contrast to the Schwarzchild solution, the radial metric coefficient for the sphere with the critical radius referred to as the Dark Star is not singular. For the sphere with radius which is less than the critical value, the GRT solution becomes imaginary. The problem is discussed within the framework of the phenomenological theory which does not take into account the actual microstructure of the gravitating objects and, though the term “star” is used, the analysis is concerned with a model fluid sphere rather than with a real astrophysical object.
文摘The formation of mini black holes is now considered to be a well-established and inescapable consequence of TeV scale particle collision scenarios in extra-dimensional/ADD models. Further, such mini black holes have been predicted to be produced at prodigious rates, of several thousand per year. Therefore, the continued null results from detector searches so far, including the most recent LHC runs of √s = 14 TeV, seem to suggest that new ideas may be critical for further advances in high energy physics. In this manuscript, we use a geometrical algorithm, inspired by general relativity, in particular Kerr-Newman de-Sitter black holes, to explore the non-perturbative (infra-red) sector of QCD. This has led us to a novel and more refined search criteria for LHC data compared to previous methods. We also explain why the current search has yielded null results. Our predictions are readily testable at detector sites. More importantly, our approach provides promising solutions to several long-standing problems, such as the hierarchy problem, problems with the continued failed attempts to integrate gravity into the standard model, and finally quark confinement.
基金Supported by the National Natural Science Foundation of China(11301077,1117131,11171066 and11226113)Foundation of the Education Department of Fujian Province(JA12074)the Natural ScienceFoundation of Fujian Province(2012J05003)
文摘Let A ∈ B（X） and B ∈ B（Y）, Me be an operator on Banach space X ＋ Y given by Mc =（A C 0 B）A generalized Drazin spectrum defined by σgD（T） = {λ∈C ： T-λI is not generalized Drazin invertible} is considered in this paper. It is shown that
