Stochastic quantum mechanics trajectories near Schwarzschild horizon black holes
Abstract
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.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Electrodynamics and Casimir Effect
Black Holes and Theoretical Physics
Publication details
- Journal / source
- The European Physical Journal C
- Publisher
- Springer Science and Business Media LLC
- Volume
- 86
- Issue
- 5
- Publication date
- 19 May 2026
- Language
- EN