Universality of minimal length
Physics Letters B • 2022
Publication Information
Authors
Ahmed Farag Ali, Ibrahim Elmashad, Jonas Mureika
Keywords
Not Available
Journal
Physics Letters B
Publisher
North-Holland
Volume
831
Issue
Not Available
Pages
137182
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
We present an argument reinterpreting the generalized uncertainty principle (GUP) and its associated minimal length as an effective variation of Planck constant (ħ), complementing Dirac's large number hypothesis of varying G. We argue that the charge radii (i.e. the minimal length of a scattering process) of hadrons/nuclei along with their corresponding masses support an existence of an effective variation of ħ. This suggests a universality of a minimal length in measurement of scattering process. Varying ħ and G explains the necessity of Von Neumann entropy correction in Bekenstein-Hawking entropy-area law. Lastly, we suggest that the effective value of ħ derived from various elements may be related to the epoch of their creation via nucleosynthesis.
Staff Members - Benha University