{"title":"Group-theoretical classification of orientable objects and particle phenomenology","authors":"D. M. Gitman, A. L. Shelepin","doi":"arxiv-2406.00089","DOIUrl":"https://doi.org/arxiv-2406.00089","url":null,"abstract":"In our previous works, we have proposed a quantum description of relativistic\u0000orientable objects by a scalar field on the Poincar'{e} group. This\u0000description is, in a sense, a generalization of ideas used by Wigner, Casimir\u0000and Eckart back in the 1930's in constructing a non-relativistic theory of a\u0000rigid rotator. The present work is a continuation and development of the above\u0000mentioned our works. The position of the relativistic orientable object in\u0000Minkowski space is completely determined by the position of a body-fixed\u0000reference frame with respect to the space-fixed reference frame, and can be\u0000specified by elements $q$ of the motion group of the Minkowski space - the\u0000Poincar'e group $M(3,1)$. Quantum states of relativistic orientable objects\u0000are described by scalar wave functions $f(q)$ where the arguments $q=(x,z)$\u0000consist of Minkowski space-time points $x$, and of orientation variables $z$\u0000given by elements of the matrix $Zin SL(2,C)$. Technically, we introduce and\u0000study the so-called double-sided representation\u0000$boldsymbol{T}(boldsymbol{g})f(q)=f(g_l^{-1}qg_r)$,\u0000$boldsymbol{g}=(g_l,g_r)in boldsymbol{M}$, of the group $boldsymbol{M}$, in\u0000the space of the scalar functions $f(q)$. Here the left multiplication by\u0000$g_l^{-1}$ corresponds to a change of space-fixed reference frame, whereas the\u0000right multiplication by $g_r$ corresponds to a change of body-fixed reference\u0000frame. On this basis, we develop a classification of the orientable objects and\u0000draw the attention to a possibility of connecting these results with the\u0000particle phenomenology. In particular, we demonstrate how one may identify\u0000fields described by linear and quadratic functions of $z$ with known elementary\u0000particles of spins $0$,$frac{1}{2}$, and $1$. The developed classification\u0000does not contradict the phenomenology of elementary particles and, moreover, in\u0000some cases give its group-theoretic explanation.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"77 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259144","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 smeared-horizon observer of a black hole","authors":"Theodorus Maria Nieuwenhuizen","doi":"arxiv-2405.19560","DOIUrl":"https://doi.org/arxiv-2405.19560","url":null,"abstract":"A class of observers is introduced that interpolate smoothly between the\u0000Schwarzschild observer, stable at spatial infinity, and the Kerr-Schild\u0000observer, who falls into a black hole. For these observers the passing of the\u0000event and inner horizon takes a finite time, which diverges logarithmically\u0000when the interpolation parameter $sigma$ goes to zero. In the field theoretic\u0000approach to gravitation, the behavior at the horizons becomes regular, making\u0000the mass of the metric well defined.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141191760","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":"Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies","authors":"Sanghati Saha, Ertan Güdekli, Surajit Chattopadhyay","doi":"arxiv-2405.20783","DOIUrl":"https://doi.org/arxiv-2405.20783","url":null,"abstract":"The holographic cut-off in generalized dark energy (HDE) formalism depends on\u0000its cut-off. Following this, a four-parameter generalized entropy has recently\u0000been developed. It reduces to various known entropies for appropriate parameter\u0000limits in the study of Odintsov, S. D., S. DOnofrio, and T. Paul. (2023)\u0000Physics of the Dark Universe, 42 pp: 101277. In the current work, we\u0000investigate the evolution of the universe in its early phase and late phase\u0000within the framework of entropic cosmology, where the entropic energy density\u0000functions are reconstructed within the framework of the equivalence of\u0000holographic dark energy and four-parameter generalized entropy (Sg). Along with\u0000the reconstruction as mentioned earlier scheme, in this study, we demonstrate\u0000that an extensive variety of dark energy (DE) models can be considered distinct\u0000and particular candidates for the most generalized four-parameter entropic HDE\u0000family, each having their cut-off. We examined several entropic dark energy\u0000models in this regard, including the generalized holographic dark energy with\u0000Nojiri-Odintsov(NO) cut-off, the Barrow entropic HDE (BHDE) with particle\u0000horizon as IR cut-off, the Tsallis entropic HDE (THDE) with future event\u0000horizon as IR cut-off, all of three cases are particular cases of the most\u0000generalized four parameter entropic holographic dark energy. Inspired by S.\u0000Nojiri, and S. D. Odintsov (2006) (General Relativity and Gravitation, 38 p:\u00001285-1304 ) and (S. Nojiri and S. D. Odintsov, 2017, European Physical Journal\u0000C, 77, pp.1-8 ); our current work reports a study on cosmological parameters\u0000and thermodynamics with entropy-corrections (logarithmic and power-law) to\u0000cosmological horizon entropy as well as black hole entropy with a highly\u0000generalized viscous coupled holographic dark fluid along its particular cases.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259149","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":"Simulating Physics with Computers","authors":"Søren Toxvaerd","doi":"arxiv-2405.20780","DOIUrl":"https://doi.org/arxiv-2405.20780","url":null,"abstract":"Feynman gave in 1982 a keynote speech textit{Simulating Physics with\u0000Computers} (Int. J. Theor. Phys. {bf 21}, 467 (1982)) in which he talked\u0000``...about the possibility...that the computer will do exactly the same as\u0000nature\". The motivation was that: ``...the physical world is quantum\u0000mechanical, and therefore the proper problem is the simulation of quantum\u0000physics\". Here I try after more than forty years to answer Feynman's question\u0000of whether it is possible to perform exact computer simulations. Many computer\u0000simulations are not exact, they contain mean field approximations that disobey\u0000the symmetry in the quantum dynamics with Newton's third law, e.g. almost all\u0000astrophysical simulations of galaxy systems. After a review of computer\u0000simulations and the problems of simulating real systems, I argue that Newton's\u0000discrete dynamics, which is used in almost all computer simulations and which\u0000is exact in the same sense as Newton's analytic dynamics, is the classical\u0000limit path of Feynman's quantum paths. However, the physical world is not known\u0000exactly and it is much more complex than any simulated systems, and so far no\u0000real systems have been simulated exactly. Hence, more than forty years later,\u0000and after hundreds of thousands of computer simulations of the physical\u0000system's dynamics the answer to Feynman's question is still negative. But\u0000although it is not possible to simulate the dynamics exactly for any real\u0000systems, the simulations have been and will be of great use in Natural Science.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259541","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":"Physical meaning of electromagnetic mass and 4/3-problem","authors":"Vladimir Onoochin","doi":"arxiv-2405.20781","DOIUrl":"https://doi.org/arxiv-2405.20781","url":null,"abstract":"In this article one aspect of the so-called '4/3-problem' is analyzed, namely\u0000definitions of the electromagnetic mass of the classical electron. It is shown\u0000that if the special relativity definition of the electromagnetic (EM) mass as\u0000the ratio of the electromagnetic field energy to the square of the speed of\u0000light is correctly treated by the scientists who considered this probem, the\u0000second definition, which originated with Thomson, i.e. a coefficient of\u0000proportionality of the EM momentum of the particle and its velocity has another\u0000physical meaning. This meaning was explained by Frenkel in his textbook on\u0000clssical electrodynamics. According to this scientist, the second EM mass is\u0000actualy a self-inductance of the classical electron or the reaction of its\u0000magnetic field to a change in the velocity of this particle. Consequently,\u0000these two physical quantities have different meanings, and attempts to reduce\u0000the expression for one mass to an expression for the second mass have always\u0000been unsuccessful.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"74 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259148","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":"A derivation of the first generation particle masses from internal spacetime","authors":"Charlie Beil","doi":"arxiv-2405.15522","DOIUrl":"https://doi.org/arxiv-2405.15522","url":null,"abstract":"Internal spacetime geometry was recently introduced to model certain quantum\u0000phenomena using spacetime metrics that are degenerate. We use the Ricci tensors\u0000of these metrics to derive a ratio of the bare up and down quark masses,\u0000obtaining $m_u/m_d = 9604/19683 approx .4879$. This value is within the\u0000lattice QCD value at $2 operatorname{GeV}$ in the\u0000$overline{operatorname{MS}}$-scheme, $.473 pm .023$. Moreover, using the\u0000Levi-Cevita Poisson equation, we derive ratios of the dressed electron mass and\u0000bare quark masses. For a dressed electron mass of $.511 operatorname{MeV}$,\u0000these ratios yield the bare quark masses $m_u approx 2.2440\u0000operatorname{MeV}$ and $m_d approx 4.599 operatorname{MeV}$, which are\u0000within/near the lattice QCD values $m^{overline{operatorname{MS}}}_u =\u0000(2.20pm .10) operatorname{MeV}$ and $m^{overline{operatorname{MS}}}_d =\u0000(4.69 pm .07) operatorname{MeV}$. Finally, using $4$-accelerations, we derive\u0000the ratio $tilde{m}_u/tilde{m}_d = 48/49 approx .98$ of the constituent up\u0000and down quark masses. This value is within the $.97 sim 1$ range of\u0000constituent quark models. All of the ratios we obtain are from first principles\u0000alone, with no free or ad hoc parameters. Furthermore, and rather curiously,\u0000our derivations do not use quantum field theory, but only tools from general\u0000relativity.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168798","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":"Bell inequalities violation in relativity theory","authors":"Alexander Belinsky, Igor Dzhadan","doi":"arxiv-2405.20789","DOIUrl":"https://doi.org/arxiv-2405.20789","url":null,"abstract":"A violation of Bell local realism inequalities in Clauser-Horn-Shimony-Holt\u0000(CHSH) form has been discovered in a relativistic GedanknExperiment. This means\u0000that there are no definite joint probabilities and this finds a classical\u0000explanation in the structure of Special relativity (SRT). The discovered\u0000nonlocality is weaker than Albert Einstein's quantum 'spooky action at a\u0000distance', and its presence suggests certain parallels between special\u0000relativity and quantum mechanics.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259956","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":"Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics","authors":"S. I. Kruglov","doi":"arxiv-2405.13210","DOIUrl":"https://doi.org/arxiv-2405.13210","url":null,"abstract":"We study Einstein's gravity coupled to nonlinear electrodynamics with two\u0000parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an\u0000extended phase space is investigated. We obtain the mass and metric functions,\u0000their asymptotic and corrections to the Reissner--Nordstr\"{o}m metric function\u0000when the cosmological constant vanishes. The first law of black hole\u0000thermodynamics in extended phase space is formulated and the magnetic potential\u0000and the thermodynamic conjugate to the coupling are obtained. We proved the\u0000generalized Smarr relation. The heat capacity and the Gibbs free energy are\u0000computed and phase transitions are studied. It was shown that the electric\u0000field of charged objects at the origin and electrostatic self-energy are finite\u0000within the nonlinear electrodynamics proposed.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149981","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":"Photon under repeated transverse Lorentz boosts: An apparent paradox","authors":"Tugdual LeBohec","doi":"arxiv-2405.15504","DOIUrl":"https://doi.org/arxiv-2405.15504","url":null,"abstract":"We investigate the effects of the repeated application of Lorentz-boosts to\u0000the four momentum of a photon in the transverse direction and observe that this\u0000can take us to a reference frame in which the direction of the photon's\u0000momentum is apparently reversed. We further extend this to an infinite\u0000succession of infinitesimal transverse Lorentz-boosts and show it amounts to a\u0000rotation of the photon's momentum, while the transformation is not a simple\u0000rotation but a Lorentz transformation. These possibly surprising results can be\u0000understood in light of the Wigner rotation: the combination of Lorentz-boosts\u0000along different directions amounts to a Lorentz-boost combined with a rotation.\u0000The presented exercises are some more illustrations of the counterintuitive\u0000behavior of Lorentz-boost combinations.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"289 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168689","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":"Thermodynamic Properties of Modified Black Hole Metrics in $f(R)$ Gravity","authors":"Wen-Xiang Chen, Yao-Guang Zheng","doi":"arxiv-2405.14894","DOIUrl":"https://doi.org/arxiv-2405.14894","url":null,"abstract":"To construct new Schwarzschild and Kerr-Newman metric solutions, we start\u0000from the Lagrangian in entropy and statistical mechanics, introducing $f(R)$\u0000gravity theory and dark energy definitions. Through a series of calculations,\u0000we derive the corrected metric solutions under different forms of $f(R)$\u0000gravity.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141173549","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}