Hawking Temperature for 4D-Einstein-Gauss-Bonnet Black Holes from uncertainty principle

Understand

Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP).

• Although GUP considers gravitational uncertainty at the minimum fundamental length scale in physics, it does not consider the effects of spacetime curvature on quantum mechanical uncertainty relations.
• The Extended Uncertainty Principle (EUP) is a generalization of Heisenberg's Uncertainty Principle that, unlike the GUP, applies to large length scales.
• GEUP is also a linear combination of EUP and GUP that creates minimal uncertainty on large length scales.