2010/07/31 by Aharon Davidson, AHARON DAVIDSON, Ilya Gurwich +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Entropy (arrow of time) #Gravitation #Phase transition #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Schwarzschild metric #Schwarzschild radius #Surface (topology) #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271810018426
published as Int.J.Mod.Phys.D19:2345-2351,2010 · Honorable Mention Essay - Gravity Research Foundation (2010)
arxiv created 2010/08/23 · openalex publication_date 2010/12/01 · arxiv updated 2011/01/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Hawking–Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface area simply vanishes. Obviously, this is not the case in general relativity. However, we show that such a phenomenon does occur in various gravitational theories which admit a spontaneously induced general relativity. In such theories, due to a phase transition (one-parameter family degenerates) which takes place precisely at the would-have-been horizon, the recovered exterior Schwarzschild solution connects, by means of a self-similar transition profile, with a novel "hollow" interior exhibiting a vanishing spatial volume and a locally varying Newton constant. This constitutes the so-called "hollowgraphy" driven holography.