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What are the concrete technical arguments supporting the idea that the wave function of the universe can be written as partition function?

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In this talk, the not yet settled down idea that the wave function of the universe could potentially be written as the partition function of a scale invariant statistical field theory is mentioned:

$$ \Psi[g] = Z[g] = \int D(\text{Fields}) e^{-S[g,\text{Fields}]} $$

If our universe were AdS, this relation could already be well enough explained by the AdS/CFT correspondence, but as our expanding universe correspond to a dS geometry, things are less clear.

What are the concrete technical arguments, ideas, or hints that this relationship should hold for our dS universe too? What work has already been done on this?


This post imported from StackExchange Astronomy at 2016-10-22 20:23 (UTC), posted by SE-user Dilaton

asked Feb 14, 2014 in Astronomy by Dilaton (4,305 points) [ revision history ]
edited Oct 22, 2016 by Dilaton

1 Answer

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Similar approaches have been generalized to more general spacetimes.

Technical details for dS space and further references in this paper about the holographic principle, p.43 ff., may provide some idea.

This post imported from StackExchange Astronomy at 2016-10-22 20:23 (UTC), posted by SE-user Gerald
answered Feb 14, 2014 by Gerald (30 points) [ no revision ]

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