{"title":"超维德布罗意-玻姆量子宇宙学","authors":"F. A. P. Alves-Júnior, A. S. Lemos, F. A. Brito","doi":"10.1007/s10714-025-03421-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we explore the de Broglie-Bohm quantum cosmology for a stiff matter, <span>\\(p=\\rho \\)</span>, anisotropic <i>n</i>-dimensional Universe. One begins by considering a Gaussian wave function for the Universe, which depends on the momenta parameters <span>\\(q_1\\)</span> and <span>\\(q_2\\)</span>, in addition to the dispersion parameters <span>\\(\\sigma _1\\)</span> and <span>\\(\\sigma _2\\)</span>. Our solutions show that the extra dimensions are stabilized through a dynamical compactification mechanism within the quantum cosmology framework. In this case, we find two distinct configurations for the dynamics of the extra dimensions. The first configuration features larger extra dimensions at the bounce, which subsequently undergo compactification to a smaller size. In contrast, the second configuration exhibits a smaller extra dimension at the bounce, evolving toward a larger, finite, and stabilized value. We also address the particular five-dimensional case where the Wheeler-DeWitt equation degenerates.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extra-Dimensional de Broglie-Bohm Quantum Cosmology\",\"authors\":\"F. A. P. Alves-Júnior, A. S. Lemos, F. A. Brito\",\"doi\":\"10.1007/s10714-025-03421-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this work, we explore the de Broglie-Bohm quantum cosmology for a stiff matter, <span>\\\\(p=\\\\rho \\\\)</span>, anisotropic <i>n</i>-dimensional Universe. One begins by considering a Gaussian wave function for the Universe, which depends on the momenta parameters <span>\\\\(q_1\\\\)</span> and <span>\\\\(q_2\\\\)</span>, in addition to the dispersion parameters <span>\\\\(\\\\sigma _1\\\\)</span> and <span>\\\\(\\\\sigma _2\\\\)</span>. Our solutions show that the extra dimensions are stabilized through a dynamical compactification mechanism within the quantum cosmology framework. In this case, we find two distinct configurations for the dynamics of the extra dimensions. The first configuration features larger extra dimensions at the bounce, which subsequently undergo compactification to a smaller size. In contrast, the second configuration exhibits a smaller extra dimension at the bounce, evolving toward a larger, finite, and stabilized value. We also address the particular five-dimensional case where the Wheeler-DeWitt equation degenerates.</p></div>\",\"PeriodicalId\":578,\"journal\":{\"name\":\"General Relativity and Gravitation\",\"volume\":\"57 5\",\"pages\":\"\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Relativity and Gravitation\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10714-025-03421-1\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Relativity and Gravitation","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10714-025-03421-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Extra-Dimensional de Broglie-Bohm Quantum Cosmology
In this work, we explore the de Broglie-Bohm quantum cosmology for a stiff matter, \(p=\rho \), anisotropic n-dimensional Universe. One begins by considering a Gaussian wave function for the Universe, which depends on the momenta parameters \(q_1\) and \(q_2\), in addition to the dispersion parameters \(\sigma _1\) and \(\sigma _2\). Our solutions show that the extra dimensions are stabilized through a dynamical compactification mechanism within the quantum cosmology framework. In this case, we find two distinct configurations for the dynamics of the extra dimensions. The first configuration features larger extra dimensions at the bounce, which subsequently undergo compactification to a smaller size. In contrast, the second configuration exhibits a smaller extra dimension at the bounce, evolving toward a larger, finite, and stabilized value. We also address the particular five-dimensional case where the Wheeler-DeWitt equation degenerates.
期刊介绍:
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.