Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes.
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| Title: | Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes. |
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| Authors: | Jerez-Rodríguez, Juan S.1 (AUTHOR) juan.jerez@cinvestav.mx, Escobar-Aguilar, Eric S.2 (AUTHOR) e.escobar@xanum.uam.mx, Matos, Tonatiuh1 (AUTHOR) tonatiuh.matos@cinvestav.mx |
| Source: | European Physical Journal C -- Particles & Fields. May2026, Vol. 86 Issue 5, p1-12. 12p. |
| Subjects: | Schwarzschild black holes, Curved spacetime, Perturbation theory, Random walks, Klein-Gordon equation, Langevin equations |
| Abstract: | This work explores the possibility of applying stochastic quantum mechanics to curved spacetimes, with an emphasis on the Schwarzschild black hole. After reviewing the fundamental concepts of this approach, the quantum stochastic equations are extended to curved spacetime using a fully covariant treatment. Subsequently, the Klein-Gordon equation is solved for scalar perturbations, and the resulting stochastic trajectories are analyzed by varying parameters such as angular momentum, particle frequency, and computational integration time. In conclusion, we find that the trajectories are influenced by gravitational fluctuations in spacetime and that, depending on the variation of the fundamental parameters, different types of stochastic trajectories are obtained. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 194633887 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jerez-Rodríguez%2C+Juan+S%2E%22">Jerez-Rodríguez, Juan S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> juan.jerez@cinvestav.mx</i><br /><searchLink fieldCode="AR" term="%22Escobar-Aguilar%2C+Eric+S%2E%22">Escobar-Aguilar, Eric S.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> e.escobar@xanum.uam.mx</i><br /><searchLink fieldCode="AR" term="%22Matos%2C+Tonatiuh%22">Matos, Tonatiuh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tonatiuh.matos@cinvestav.mx</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. May2026, Vol. 86 Issue 5, p1-12. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Schwarzschild+black+holes%22">Schwarzschild black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Curved+spacetime%22">Curved spacetime</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Random+walks%22">Random walks</searchLink><br /><searchLink fieldCode="DE" term="%22Klein-Gordon+equation%22">Klein-Gordon equation</searchLink><br /><searchLink fieldCode="DE" term="%22Langevin+equations%22">Langevin equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This work explores the possibility of applying stochastic quantum mechanics to curved spacetimes, with an emphasis on the Schwarzschild black hole. After reviewing the fundamental concepts of this approach, the quantum stochastic equations are extended to curved spacetime using a fully covariant treatment. Subsequently, the Klein-Gordon equation is solved for scalar perturbations, and the resulting stochastic trajectories are analyzed by varying parameters such as angular momentum, particle frequency, and computational integration time. In conclusion, we find that the trajectories are influenced by gravitational fluctuations in spacetime and that, depending on the variation of the fundamental parameters, different types of stochastic trajectories are obtained. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjc/s10052-026-15712-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 1 Subjects: – SubjectFull: Schwarzschild black holes Type: general – SubjectFull: Curved spacetime Type: general – SubjectFull: Perturbation theory Type: general – SubjectFull: Random walks Type: general – SubjectFull: Klein-Gordon equation Type: general – SubjectFull: Langevin equations Type: general Titles: – TitleFull: Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jerez-Rodríguez, Juan S. – PersonEntity: Name: NameFull: Escobar-Aguilar, Eric S. – PersonEntity: Name: NameFull: Matos, Tonatiuh IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 14346044 Numbering: – Type: volume Value: 86 – Type: issue Value: 5 Titles: – TitleFull: European Physical Journal C -- Particles & Fields Type: main |
| ResultId | 1 |