Theoretical aspects of the DFR quantum spacetime
A systematic study of the Doplicher-Fredenhaguen-Roberts (DFR) Quantum Spacetime is presented. This work is based on the original quantized spacetime described by Doplicher, Fredenhaguen, and Roberts in Commun. Math. Phys. 172. I motivate the DFR Quantum Spacetime to obtain Spacetime Uncertainty Rel...
- Autores:
-
Ardila Herrera, Daniel Andrés
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2021
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/58881
- Acceso en línea:
- http://hdl.handle.net/1992/58881
- Palabra clave:
- Quantum Spacetime
DFR
Noncommutative Spacetime
Física
- Rights
- openAccess
- License
- Atribución-NoComercial-CompartirIgual 4.0 Internacional
| Summary: | A systematic study of the Doplicher-Fredenhaguen-Roberts (DFR) Quantum Spacetime is presented. This work is based on the original quantized spacetime described by Doplicher, Fredenhaguen, and Roberts in Commun. Math. Phys. 172. I motivate the DFR Quantum Spacetime to obtain Spacetime Uncertainty Relations from the Principle of Gravitational Stability against localization of events and the hoop conjecture. I outline the characteristics of regular representations fulfilling the Quantum Conditions and show how an algebra can be constructed to describe the DFR Quantum Spacetime. I outline how there is a one-to-one correspondence between the representation of the algebra and the regular realizations. I also present how in the classical limit, the commutative Minkowski space is recovered. |
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