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SUMMARY:Gravitational algebras and the generalized second law - Antony Spe
 ranza\, University of Amsterdam
DTSTART:20241128T123000Z
DTEND:20241128T140000Z
UID:TALK220600@talks.cam.ac.uk
CONTACT:Bernardo Zan
DESCRIPTION:I will describe a derivation of the generalized second law of 
 black hole horizons from the perspective of gravitational von Neumann alge
 bras.  The algebra is constructed via a crossed product construction\, and
  consists of quantum field operators dressed to the asymptotic ADM mass.  
 Using properties of half-sided modular inclusions for the black hole horiz
 on\, I will argue that this algebra is a type II von Neumann algebra\, and
  hence possesses a well-defined trace and renormalized entropy.  By consis
 tently normalizing the trace between cuts\, the entropy of semiclassical s
 tates can be shown to increase toward the future.  I will also discuss int
 eresting features of working with interacting quantum fields and asymptoti
 cally flat black holes\, and relate these to algebraic features of the hal
 f-sided modular inclusion\; namely\, the concept of a singular inclusion a
 nd an algebra at infinity.
LOCATION:Potter Room (B1.19)
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