Using Wheeler-DeWitt wave functionals, the paper argues that Minkowski-to-de Sitter nucleation has a nonzero relative probability in the zero-mass Schwarzschild limit and that dS-to-dS rates match Coleman-De Luccia and Brown-Teitelboim.
de Sitter as a Resonance
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abstract
A quantum mechanical formulation of de Sitter cosmological spacetimes still eludes string theory. In this paper we conjecture a potentially rigorous framework in which the status of de Sitter space is the same as that of a resonance in a scattering process. We conjecture that transition amplitudes between certain states with asymptotically supersymmetric flat vacua contain resonant poles characteristic metastable intermediate states. A calculation employing constrained instantons illustrates this idea.
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Quantum Transitions Between Minkowski and de Sitter Spacetimes
Using Wheeler-DeWitt wave functionals, the paper argues that Minkowski-to-de Sitter nucleation has a nonzero relative probability in the zero-mass Schwarzschild limit and that dS-to-dS rates match Coleman-De Luccia and Brown-Teitelboim.