Under positivity, hermiticity, symmetry, and vanishing entropy, the Sorkin-Johnston state is the unique global vacuum for a quasifree scalar field on a causal set.
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Principles for a Distinguished Global Vacuum: Entropy and the Vacuum State in Causal Set Theory
Under positivity, hermiticity, symmetry, and vanishing entropy, the Sorkin-Johnston state is the unique global vacuum for a quasifree scalar field on a causal set.