{"title":"On Galaxies Rotation Curves: Gravitomagnetism Rather than MOND and Missing Mass","authors":"P. Christillin","doi":"10.4236/jmp.2023.148067","DOIUrl":"https://doi.org/10.4236/jmp.2023.148067","url":null,"abstract":"","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inconsistency of General Relativity Predictions for the Universe Expansion vs. the Black Hole Model","authors":"P. Christillin","doi":"10.4236/jmp.2023.141002","DOIUrl":"https://doi.org/10.4236/jmp.2023.141002","url":null,"abstract":"","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70391844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Fine Structure and the Other Coupling Constants at the Planck Scale","authors":"P. Christillin","doi":"10.4236/jmp.2023.145037","DOIUrl":"https://doi.org/10.4236/jmp.2023.145037","url":null,"abstract":"","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The General Theory of the Probability","authors":"Julio A. Barraza","doi":"10.4236/jmp.2023.148063","DOIUrl":"https://doi.org/10.4236/jmp.2023.148063","url":null,"abstract":"","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
When D : E → F is a linear differential operator of order q between the sections of vector bundles over a manifold X of dimension n , it is defined by a bundle map Φ : J q ( E ) → F = F 0 that may depend, explicitly or implicitly, on constant parameters a, b, c, ... . A ”direct problem ” is to find the generating compatibility conditions (CC) in the form of an operator D 1 : F 0 → F 1 . When D is involutive, that is when the corresponding system R q = ker (Φ) is involutive, this procedure provides successive first order involutive operators D 1 , ..., D n . Though D 1 ◦ D = 0 implies ad ( D ) ◦ ad ( D 1 ) = 0 by taking the respective adjoint operators, then ad ( D ) may not generate the CC of ad ( D 1 ) and measuring such ”gaps” led to introduce extension modules in differential homological algebra. They may also depend on the parameters and such a situation is well known in ordinary or partial control theory. When R q is not involutive, a standard prolongation/projection (PP) procedure allows in general to find integers r, s such that the image R ( s ) q + r of the projection at order q + r of the prolongation ρ r + s ( R q ) = J r + s ( R q ) ∩ J q + r + s ( E ) ⊂ J r + s ( J q ( E )) is involutive but it may highly depend on the parameters. However, sometimes the resulting system no longer depends on the parameters and the extension modules do not depend on the parameters because it is known that they do not depend on the differential sequence used for their definition. The purpose of this paper is to study the above problems for the Kerr ( m, a ), Schwarzschild ( m, 0) and Minkowski (0 , 0) parameters while computing the dimensions of the inclusions R (3)1 ⊂ R (2)1 ⊂ R (1)1 = R 1 ⊂ J 1 ( T ( X )) for the respective Killing operators. Other striking motivating examples are also presented.
{"title":"Killing Operator for the Kerr Metric","authors":"J. Pommaret","doi":"10.4236/jmp.2023.141003","DOIUrl":"https://doi.org/10.4236/jmp.2023.141003","url":null,"abstract":"When D : E → F is a linear differential operator of order q between the sections of vector bundles over a manifold X of dimension n , it is defined by a bundle map Φ : J q ( E ) → F = F 0 that may depend, explicitly or implicitly, on constant parameters a, b, c, ... . A ”direct problem ” is to find the generating compatibility conditions (CC) in the form of an operator D 1 : F 0 → F 1 . When D is involutive, that is when the corresponding system R q = ker (Φ) is involutive, this procedure provides successive first order involutive operators D 1 , ..., D n . Though D 1 ◦ D = 0 implies ad ( D ) ◦ ad ( D 1 ) = 0 by taking the respective adjoint operators, then ad ( D ) may not generate the CC of ad ( D 1 ) and measuring such ”gaps” led to introduce extension modules in differential homological algebra. They may also depend on the parameters and such a situation is well known in ordinary or partial control theory. When R q is not involutive, a standard prolongation/projection (PP) procedure allows in general to find integers r, s such that the image R ( s ) q + r of the projection at order q + r of the prolongation ρ r + s ( R q ) = J r + s ( R q ) ∩ J q + r + s ( E ) ⊂ J r + s ( J q ( E )) is involutive but it may highly depend on the parameters. However, sometimes the resulting system no longer depends on the parameters and the extension modules do not depend on the parameters because it is known that they do not depend on the differential sequence used for their definition. The purpose of this paper is to study the above problems for the Kerr ( m, a ), Schwarzschild ( m, 0) and Minkowski (0 , 0) parameters while computing the dimensions of the inclusions R (3)1 ⊂ R (2)1 ⊂ R (1)1 = R 1 ⊂ J 1 ( T ( X )) for the respective Killing operators. Other striking motivating examples are also presented.","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42443974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
An approach to the geometric description of the birth and evolution of the universe is proposed. The wave function as the fundamental field is represented by a Clifford number with the transfer rules that possess the structure of the Dirac equation for any manifold. In terms of this geometric representation of the universe wave function, the nature of super-symmetry is explained. A probable mechanism of spontaneous symmetry breaking of the universe excitations with Bose and Fermi degrees of freedom is proposed.
{"title":"Supersymmetry in the Geometric Representation of the Early Universe Wave Function","authors":"B. Lev","doi":"10.4236/jmp.2023.146044","DOIUrl":"https://doi.org/10.4236/jmp.2023.146044","url":null,"abstract":"An approach to the geometric description of the birth and evolution of the universe is proposed. The wave function as the fundamental field is represented by a Clifford number with the transfer rules that possess the structure of the Dirac equation for any manifold. In terms of this geometric representation of the universe wave function, the nature of super-symmetry is explained. A probable mechanism of spontaneous symmetry breaking of the universe excitations with Bose and Fermi degrees of freedom is proposed.","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44275248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-18DOI: 10.21203/rs.3.rs-1332654/v1
L. G. de Peralta, A. Ruiz-Columbié
Using the Hamilton-Jacobi and the Lagrange formalisms, a pair of relativistic quantum mechanics equations are obtained. These equations, in contrast with the Klein-Gordon and other relativistic quantum mechanics equations, have no solutions with both positive and negative kinetic energies. The equation with solutions with only positive kinetic energy values describes a spin-0 particle of mass m, which is moving at relativistic speeds in a scalar potential. The wavefunctions and the energies corresponding to the associated antiparticle can be obtained by solving the other equation, which only has solutions with negative kinetic energy values.
{"title":"Hamilton-Jacobi and Lagrange formulation of relativistic quantum mechanics wave equations with solutions with only-positive and only-negative kinetic energies","authors":"L. G. de Peralta, A. Ruiz-Columbié","doi":"10.21203/rs.3.rs-1332654/v1","DOIUrl":"https://doi.org/10.21203/rs.3.rs-1332654/v1","url":null,"abstract":"\u0000 Using the Hamilton-Jacobi and the Lagrange formalisms, a pair of relativistic quantum mechanics equations are obtained. These equations, in contrast with the Klein-Gordon and other relativistic quantum mechanics equations, have no solutions with both positive and negative kinetic energies. The equation with solutions with only positive kinetic energy values describes a spin-0 particle of mass m, which is moving at relativistic speeds in a scalar potential. The wavefunctions and the energies corresponding to the associated antiparticle can be obtained by solving the other equation, which only has solutions with negative kinetic energy values.","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48108522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.4236/jmp.2022.1311082
M. Bettan, Jonathan Walg, I. Orion
{"title":"Possible Neutrino-Antineutrino Production during Gamma Ray e−e+ Pair Production: Monte Carlo Simulation Study","authors":"M. Bettan, Jonathan Walg, I. Orion","doi":"10.4236/jmp.2022.1311082","DOIUrl":"https://doi.org/10.4236/jmp.2022.1311082","url":null,"abstract":"","PeriodicalId":70853,"journal":{"name":"现代物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70387652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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