Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.
Hartle-Hawking Vacuum for c=1 Tachyon Condensation
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abstract
Quantum vacua are constructed for a time-symmetric cosmology describing closed string tachyon condensation in two-dimensional string theory. Due to the Euclidean periodicity of the solution, and despite its time dependence, we are able to construct thermal states at discrete values of the temperature. The asymptotic thermal Green functions and stress energy tensor are computed and found to have an intriguing resemblance to those in the Hartle-Hawking vacuum of a black hole.
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Fate of "Space-like singularities" in $c=1$ Matrix Model
Space-like singularities in the c=1 matrix model are artifacts of the double scaling limit; beyond it, Fermi surface folds proliferate and the coarse-grained phase space density relaxes to equilibrium via a universal power-law independent of initial state details.