Spatial cut-offs, Fermion Statistics, and Verlinde's Conjecture
Verlinde conjectured eight years ago that gravitation might be an emergent entropic force. This rather surprising assertion was proved in Plastino and Rocca (2018) within a purely classical statistical context, and in 10.13140/RG.2.2.34454.24640 for the case of bosons’ statistics. In the present wor...
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| Autores principales: | , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/124344 |
| Aporte de: |
| Sumario: | Verlinde conjectured eight years ago that gravitation might be an emergent entropic force. This rather surprising assertion was proved in Plastino and Rocca (2018) within a purely classical statistical context, and in 10.13140/RG.2.2.34454.24640 for the case of bosons’ statistics. In the present work, we appeal to a quantum scenario involving fermions’ statistics. We consider also the classical limit of quantum (statistical) mechanics (QM). We encounter a lower bound to the distance r between the two interacting masses, i.e., an r cut-off. This is a new effect that exhibits some resemblance with the idea of space discretization proposed by recent gravitation theories. |
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