Space and time transformations with a minimal length

نویسندگان

چکیده

Phenomenological studies of quantum gravity have proposed a modification the commutator between position and momentum in mechanics so to introduce minimal uncertainty mechanics. Such consequent measurable length important consequences on dynamics systems. In present work, we show that such go beyond dynamics, reaching definition quantities as energy, momentum, same Hamiltonian. Furthermore, since Hamiltonian, defined generator time evolution, results be bounded, implies time.

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ژورنال

عنوان ژورنال: Classical and Quantum Gravity

سال: 2023

ISSN: ['1361-6382', '0264-9381']

DOI: https://doi.org/10.1088/1361-6382/acb4d5