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SUMMARY:Hilbert Bundles and the Hydrodynamic Approach to Quantum Gravity [
 Confirmed]
DTSTART:20250320T183000Z
DTEND:20250320T200000Z
DTSTAMP:20260617T134100Z
UID:indico-event-1079@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Tom Banks (Rutgers University)\n\nSeveral papers fro
 m the mid to late 1990s suggest that Einstein’s equations should be tho
 ught of as the hydrodynamic equations of a special class of quantum system
 s. A classical solution defines subsystems by dividing space-time up into 
 causal diamonds and Einstein’s equations are the hydrodynamics of a sys
 tem that assigns density matrices to each diamond with the property ⟨K
 ⋄⟩= ⟨(K⋄−⟨K⋄⟩)2⟩=A⋄. These define 4GN the empty diamo
 nd state\, the analog of the quantum field theory vacuum\, in the backgrou
 nd geometry. The assignment of density matrices to each diamond enables on
 e to define the analog of half sided modular flow along geodesics in the 
 background manifold\, as a unitary embedding of the Hilbert space of a giv
 en diamond into the next one in a nesting with Planck scale time steps. W
 e conjecture that this can be enhanced to a full set of compatible unitary
  evolutions on a Hilbert bundle over the space of time-like geodesics\, u
 sing a Quantum Principle of Relativity defined in the text. The compatibi
 lity of this formalism with the experimental success of quantum field theo
 ry (QFT) is discussed\, as well as the theoretical limits in which QFT eme
 rges.\n\nhttps://events.perimeterinstitute.ca/event/1079/
LOCATION:PI/4-405 - Bob Room (Perimeter Institute for Theoretical Physics)
URL:https://events.perimeterinstitute.ca/event/1079/
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