Modified entropies as the origin of generalized uncertainty principles
- URL: http://arxiv.org/abs/2206.14166v2
- Date: Thu, 29 Dec 2022 04:46:43 GMT
- Title: Modified entropies as the origin of generalized uncertainty principles
- Authors: Nana Cabo Bizet, Octavio Obreg\'on and Wilfredo Yupanqui
- Abstract summary: Heisenberg uncertainty principle is connected to the entropic uncertainty principle.
Due to quantum gravity effects the Heisenberg uncertainty principle has been extended to a Generalized Uncertainty Principle (GUP)
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Heisenberg uncertainty principle is known to be connected to the entropic
uncertainty principle. This correspondence is obtained employing a Gaussian
probability distribution for wave functions associated to the Shannon entropy.
Independently, due to quantum gravity effects the Heisenberg uncertainty
principle has been extended to a Generalized Uncertainty Principle (GUP). In
this work, we show that GUP has been derived from considering non-extensive
entropies, proposed by one of us. We found that the deformation parameters
associated with $S_{+}$ and $S_-$ entropies are negative and positive
respectively. This allows us to explore various possibilities in the search of
physical implications. We conclude that non-extensive statistics constitutes a
signature of quantum gravity.
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