2014/01/14 by Eiman Abou El Dahab, Abdel Nasser Tawfik
Physics and Astronomy · #Advanced Mathematical Theories and Applications #General relativity #Interval (graph theory) #Noncommutative and Quantum Gravity Theories #Planck energy #Planck mass #Quadratic equation #Quantum #Quantum fluctuation #Quantum gravity #Relativity and Gravitational Theory #Schwarzschild radius #Uncertainty principle #gr-qc #quant-ph
paper · pdf · doi:10.1139/cjp-2013-0661
16 pages, 0 figure
arxiv created 2014/01/14 · openalex publication_date 2014/01/29 · arxiv updated 2014/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The possibility of finding the measurable maximal energy and the minimal time interval is discussed in different quantum aspects. It is found that the linear generalized uncertainty principle (GUP) approach gives a nonphysical result. Based on large scale Schwarzschild solution, the quadratic GUP approach is utilized. The calculations are performed at the shortest distance, at which the general relativity is assumed to be a good approximation for the quantum gravity and at larger distances, as well. It is found that both maximal energy and minimal time have the order of the Planck time. Then, the uncertainties in both quantities are accordingly bounded. Some physical insights are addressed. Also, the implications on the physics of early Universe and on quantized mass are outlined. The results are related to the existence of finite cosmological constant and minimum mass (mass quanta).