Mathematics – Logic
Scientific paper
Nov 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005grg..conf...56h&link_type=abstract
GENERAL RELATIVITY AND GRAVITATION. Proceedings of the 17th International Conference. Held 18-23 July 2004 in RDS Convention Cen
Mathematics
Logic
Scientific paper
The Euclidean path integral over all topologically trivial metrics can be done by time slicing and so is unitary when analytically continued to the Lorentzian. On the other hand, the path integral over all topologically non-trivial metrics is asymptotically independent of the initial state. Thus the total path integral is unitary and information is not lost in the formation and evaporation of black holes. The way the information gets out seems to be that a true event horizon never forms, just an apparent horizon.
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