Generalized uncertainty principle from the regularized self-energy  

作　　者：Kimet Jusufi Ahmed Farag Ali 

机构地区：[1]Physics Department,State University of Tetovo,Ilinden Street nn,1200,Tetovo,North Macedonia [2]Essex County College,303 University Ave,Newark,NJ 07102,United States America [3]Department of Physics,Faculty of Science,Benha University,Benha,13518,Egypt

出　　处：《Communications in Theoretical Physics》2025年第1期92-100,共9页理论物理通讯(英文版)

摘　　要：We use the Schrödinger–Newton equation to calculate the regularized self-energy of a particle using a regular self-gravitational and electrostatic potential derived in string T-duality.The particle mass M is no longer concentrated into a point but is diluted and described by a quantum-corrected smeared energy density resulting in corrections to the energy of the particle,which is interpreted as a regularized self-energy.We extend our results and find corrections to the relativistic particles using the Klein–Gordon,Proca and Dirac equations.An important finding is that we extract a form of the generalized uncertainty principle(GUP)from the corrected energy.This form of the GUP is shown to depend on the nature of particles;namely,for bosons(spin 0 and spin 1)we obtain a quadratic form of the GUP,while for fermions(spin 1/2)we obtain a linear form.The correlation we find between spin and GUP may offer insights for investigating quantum gravity.

关 键 词：generalized uncertainty principle T-DUALITY regularized self-energy 

分 类 号：O57[理学—粒子物理与原子核物理]