Duality principle of the zero-point length of spacetime and Generalized Uncertainty Principle
| Autor: | Vikramaditya Mondal |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Uncertainty principle General Physics and Astronomy Zero-point energy Duality (optimization) 01 natural sciences Action (physics) 010305 fluids & plasmas Canonical commutation relation 0103 physical sciences Path integral formulation Quantum gravity 010306 general physics Mathematical physics Planck length |
| Zdroj: | Europhysics Letters. 132:10005 |
| ISSN: | 1286-4854 0295-5075 |
| DOI: | 10.1209/0295-5075/132/10005 |
| Popis: | A strong theoretical motivation persists, in quantum gravity, to consider the existence of a fundamental lower bound on the physically measurable length, namely the Planck length . The Planck length can be considered as a zero-point length of spacetime. For a relativistic particle with action , the invariance of its path integral amplitude under the duality transformation encodes the information of such “zero-point length” of spacetime (Padmanabhan T., Phys. Rev. Lett., 78 (1997) 1854). We show that, when we take the non-relativistic limit, this duality principle deforms the canonical commutation relation similarly to a certain variation of the Generalized Uncertainty Principle (GUP). We interpret this as an equivalence between the principle of path integral duality and GUP. |
| Databáze: | OpenAIRE |
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