Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole скачать в хорошем качестве

Generalized uncertainty principle from long-range kernel effects: The case of the Hawking black hole

This scientific paper establishes a theoretical link between spatial long-range interactions and the generalized uncertainty principle (GUP) found in quantum gravity. The authors demonstrate that by incorporating nonlocal kernels into a modified Schrödinger equation, they can derive the same mathematical results predicted by theories of minimal length scales. This framework is applied to black hole thermodynamics, specifically examining how these mathematical corrections influence evaporation. A significant finding is that certain kernel parameters allow for the existence of cold black holes and stable remnants, preventing the temperature from reaching infinity as the mass vanishes. Ultimately, the research suggests that nonlocal diffusion effects can effectively model the Planck-scale corrections necessary for understanding quantum gravity and macroscopic gravitational phenomena. R. A. El-Nabulsi, W. Anukool, “Generalized uncertainty principle from long range kernel effects: The case of the Hawking black holes temperature,” Chinese Physics B, 2023 https://doi.org/10.1088/1674-1056/acac15