Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes.

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Title: Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes.
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.)
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  Data: Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes.
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  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>
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  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.
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  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>
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  Label: Abstract
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  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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      – Type: doi
        Value: 10.1140/epjc/s10052-026-15712-1
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      – Code: eng
        Text: English
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        PageCount: 12
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    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
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      – SubjectFull: Langevin equations
        Type: general
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      – TitleFull: Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes.
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            NameFull: Escobar-Aguilar, Eric S.
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            NameFull: Matos, Tonatiuh
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – TitleFull: European Physical Journal C -- Particles & Fields
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