Towards the Particle Spectrum, Tickled by a Distant Massive Object
To investigate the gravitational effects of massive objects on a typical observer, we studied the dynamics of a test particle following <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>BMS</mi&...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Astronomy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2674-0346/3/4/19 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846105929311846400 |
|---|---|
| author | Mehdi Dehghani Salman A. Nejad Maryam Mardaani |
| author_facet | Mehdi Dehghani Salman A. Nejad Maryam Mardaani |
| author_sort | Mehdi Dehghani |
| collection | DOAJ |
| description | To investigate the gravitational effects of massive objects on a typical observer, we studied the dynamics of a test particle following <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>BMS</mi><mn>3</mn></msub></semantics></math></inline-formula> geodesics. We constructed the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>BMS</mi><mn>3</mn></msub></semantics></math></inline-formula> framework using the canonical phase space formalism and the corresponding Hamiltonian. We focused on analyzing these effects at fine scales of spacetime, which led us to quantization of the phase space. By deriving and studying the solutions of the quantum equations of motion for the test particle, we obtained its energy spectrum and explored the behavior of its wave function. These findings offer a fresh perspective on gravitational interactions in the context of quantum mechanics, providing an alternative approach to traditional quantum field theory analyses. |
| format | Article |
| id | doaj-art-7c98f7211d654786a49f8e26f4b05d0a |
| institution | Kabale University |
| issn | 2674-0346 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Astronomy |
| spelling | doaj-art-7c98f7211d654786a49f8e26f4b05d0a2024-12-27T14:09:37ZengMDPI AGAstronomy2674-03462024-12-013430431810.3390/astronomy3040019Towards the Particle Spectrum, Tickled by a Distant Massive ObjectMehdi Dehghani0Salman A. Nejad1Maryam Mardaani2Department of Physics, Faculty of Science, Shahrekord University, Shahrekord 8818634141, IranDepartment of Physical Sciences, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USADepartment of Physics, Faculty of Science, Shahrekord University, Shahrekord 8818634141, IranTo investigate the gravitational effects of massive objects on a typical observer, we studied the dynamics of a test particle following <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>BMS</mi><mn>3</mn></msub></semantics></math></inline-formula> geodesics. We constructed the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>BMS</mi><mn>3</mn></msub></semantics></math></inline-formula> framework using the canonical phase space formalism and the corresponding Hamiltonian. We focused on analyzing these effects at fine scales of spacetime, which led us to quantization of the phase space. By deriving and studying the solutions of the quantum equations of motion for the test particle, we obtained its energy spectrum and explored the behavior of its wave function. These findings offer a fresh perspective on gravitational interactions in the context of quantum mechanics, providing an alternative approach to traditional quantum field theory analyses.https://www.mdpi.com/2674-0346/3/4/19BMS<sub>3</sub>first class constraintscanonical structurequantum mechanics |
| spellingShingle | Mehdi Dehghani Salman A. Nejad Maryam Mardaani Towards the Particle Spectrum, Tickled by a Distant Massive Object Astronomy BMS<sub>3</sub> first class constraints canonical structure quantum mechanics |
| title | Towards the Particle Spectrum, Tickled by a Distant Massive Object |
| title_full | Towards the Particle Spectrum, Tickled by a Distant Massive Object |
| title_fullStr | Towards the Particle Spectrum, Tickled by a Distant Massive Object |
| title_full_unstemmed | Towards the Particle Spectrum, Tickled by a Distant Massive Object |
| title_short | Towards the Particle Spectrum, Tickled by a Distant Massive Object |
| title_sort | towards the particle spectrum tickled by a distant massive object |
| topic | BMS<sub>3</sub> first class constraints canonical structure quantum mechanics |
| url | https://www.mdpi.com/2674-0346/3/4/19 |
| work_keys_str_mv | AT mehdidehghani towardstheparticlespectrumtickledbyadistantmassiveobject AT salmananejad towardstheparticlespectrumtickledbyadistantmassiveobject AT maryammardaani towardstheparticlespectrumtickledbyadistantmassiveobject |