A intriguing feature shared by many quantum gravity programs is the dynamical decrease of spectral dimension from ${D}_{s}=4$ at macroscopic to ${D}_{s}\ensuremath{\approx}2$ microscopic scales. In this note, we study impact transition on energy loss static, spherically symmetric black holes due Hawking radiation. We demonstrate that in renders luminosity a hole finite. While slightly increases...

We prove the dimensional reduction conjecture of Fey, Levine, and Peres (2010) on hypercube. The proof shows that reduction, symmetry, regularity Abelian sandpile persist during parallel toppling process. This stronger result verifies empirical observations first documented by Liu, Kaplan, Gray (1990).

We analyze how a quantum-gravity-induced change in the number of thermal dimensions (through modified dispersion relation) affects geometry and thermodynamics charged black hole. To that end we resort to Kiselev's solution as impact such modifications have on evaporation rate hole becomes more clear. As an application, study case for which dimension is reduced two.