caa a22 4500 445386665 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10714-011-1206-6 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1206-6 Mathur Samir Department of Physics, The Ohio State University, 43210, Columbus, OH, USA aut Effective information loss outside the horizon [Elektronische Daten] [Samir Mathur] If a system falls through a black hole horizon, then its information is lost to an observer at infinity. But we argue that the accessible information is lost before the horizon is crossed. The temperature of the hole limits information carrying signals from a system that has fallen too close to the horizon. Extremal holes have T=0, but there is a minimum energy required to emit a quantum in the short proper time left before the horizon is crossed. If we attempt to bring the system back to infinity for observation, then acceleration radiation destroys the information. All three considerations give a critical distance from the horizon $${d\sim \sqrt\frac{r_H}{\Delta E}}$$, where r H is the horizon radius and ΔE is the energy scale characterizing the system. For systems in string theory where we pack information as densely as possible, this acceleration constraint is found to have a geometric interpretation. These estimates suggest that in theories of gravity we should measure information not as a quantity contained inside a given system, but in terms of how much of that information can be reliably accessed by another observer. Springer Science+Business Media, LLC, 2011 Black holes nationallicence String theory nationallicence Acceleration radiation nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2561-2566 0001-7701 43:10<2561 2011 43 10714 https://doi.org/10.1007/s10714-011-1206-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1206-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mathur Samir Department of Physics, The Ohio State University, 43210, Columbus, OH, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/10(2011-10-01), 2561-2566 0001-7701 43:10<2561 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer