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Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished "S-J state" for scalar field theory in (bounded regions of) general curved spacetimes.
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Afshordi, N., Aslanbeigi, S., Sorkin, R.D.: A Distinguished Vacuum State for a Quantum Field in a Curved Spacetime: Formalism, Features, and Cosmology
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ArXiv:1203.2151, to appear in Annales H. Poincaré
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