|
| | | | |
| | | |
| Stat |
Members: 3647
Articles: 2'515'004
Articles rated: 2609
12 May 2024 |
|
| | | | |
|
Article overview
| |
|
|
Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics | | Petr Jizba
; Gaetano Lambiase
; Giuseppe Gaetano Luciano
; Luciano Petruzziello
; | | Date: |
20 Jan 2022 | | Abstract: | The generalized uncertainty principle (GUP) is a phenomenological model whose
purpose is to account for a minimal length scale (e.g., Planck scale or
characteristic inverse-mass scale in effective quantum description) in quantum
systems. In this Letter, we study possible observational effects of GUP systems
in their decoherence domain. We first derive coherent states associated to GUP
and unveil that in the momentum representation they coincide with Tsallis’
probability amplitudes, whose non-extensivity parameter $q$ monotonically
increases with the GUP deformation parameter $eta$. Secondly, for $eta < 0$
(i.e., $q < 1$), we show that, due to Bekner-Babenko inequality, the GUP is
fully equivalent to information-theoretic uncertainty relations based on
Tsallis-entropy-power. Finally, we invoke the Maximal Entropy principle known
from estimation theory to reveal connection between the quasi-classical
(decoherence) limit of GUP-related quantum theory and non-extensive
thermostatistics of Tsallis. This might provide an exciting paradigm in a range
of fields from quantum theory to analog gravity. For instance, in some quantum
gravity theories, such as conformal gravity, aforementioned quasi-classical
regime has relevant observational consequences. We discuss some of the
implications. | | Source: | arXiv, 2201.07919 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
REGISTER