Topologically quantized Schwarzschild black hole

Abstract

We present a new version of the Schwarzschild solution that involves an intrinsically discrete structure apt for quantization. Our method is the harmonic mapping of the unit sphere (S (2)) into itself. This explains the areal quantization whereas the energy quantum derives from the energy of the harmonic map. Likewise, all thermodynamical quantities are naturally quantized at lower orders. 'There is Plenty of Room at the Bottom' R. P. Feynman [R. P. Feynman, Lecture given on December 29, 1959 at the annual meeting of the APS with the title There's Plenty of Room at the Bottom: An Invitation to Enter a New Field of Physics.