English

Universality of minimal length

General Physics 2022-06-02 v2

Abstract

We present an argument reinterpreting the generalized uncertainty principle (GUP) and its associated minimal length as an effective variation of Planck constant (\hbar), complementing Dirac's large number hypothesis of varying GG. 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 \hbar. This suggests a universality of a minimal length in measurement of scattering process. Varying \hbar and GG explains the necessity of Von Neumann entropy correction in Bekenstein-Hawking entropy-area law. Lastly, we suggest that the effective value of \hbar derived from various elements may be related to the epoch of their creation via nucleosynthesis.

Keywords

Cite

@article{arxiv.2205.14009,
  title  = {Universality of minimal length},
  author = {Ahmed Farag Ali and Ibrahim Elmashad and Jonas Mureika},
  journal= {arXiv preprint arXiv:2205.14009},
  year   = {2022}
}

Comments

8 pages, revtex4-2, 5 figures, 1 table, references added, added journal reference

R2 v1 2026-06-24T11:31:00.794Z