: The GUP and quantum Raychaudhuri equation
In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature
due to quadratic and linear-quadratic generalized uncertainty principle, with the corrections from
the quantum Raychaudhuri equation. The reason for this comparison is to connect the deform-
ation parameters 0 and/or 0 with which is the parameter that characterizes the quantum
Raychaudhuri equation. The derived relation between the parameters appears to depend on the
relative scale of the system (black hole), which could be read as a renormalization equation for the
quadratic deformation parameter 0. In addition, the critical phenomena of the GUP-deformed
black hole are studied in the light of this relation by computing the critical exponent for . This
study shows a correspondence between the two phenomenological approaches and indicates that
quantum Raychaudhuri equation implies the existence of a crystal-like structure of spacetime.
In this paper, we construct and calculate a non-perturbative path integrals in a multiply-connected space-time. This is done by by summing over homotopy classes of paths. The topology of the space…
In this paper, we have constructed the Feynman path integral method for non-paraxial optics. This is done by using the mathematical analogy between a non-paraxial optical system and the…