Information Storage in Black Holes

The information loss paradox for Schwarzschild black holes is examined, using the ADS/CFT correspondence extended to the M6(4, 2) bulk. It is found that the only option compatible with the preservation of the quantum unitarity is when a regular remnant region of the black hole survives to the black hole evaporation process, where information can be stored and eventually retrieved. The ADS/CFT Correspondence Conformal covariance in physics was firstly introduced in electrodynamics back in 1909, but its applications to fundamental physics are still lagging [1]. Only very recently the ADS/CFT correspondence, between conformal fields in the Minkowski space M4 and gauge field theory on the five-dimensional deSitter gravity AdS5, started to make an impact on some relevant issues related to the quantum field theory on curved space-times [2]. The ADS/CFT correspondence can be easily understood when it is seen from the point of view of the theory of sub-manifolds. Indeed, the fourdimensional anti-deSitter space-time AdS4 is a hypersurface of negative constant curvature embedded in the flat space M5(3, 2) [3]. By simply adding one extra space-like dimension, we obtain the five-dimensional negative constant curvature surface AdS5 as a hypersurface embedded in the flat space M6(4, 2). As it happens, the 15-parameter conformal group Co(3, 1) acting on Minkowski’s space-time is isomorphic to the group SO(4, 2). Since AdS5 is a maximally symmetric sub-space of M6(4, 2), it follows that any (pseudo)