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arxiv: 2412.07832 · v1 · pith:PYXLZI3Ynew · submitted 2024-12-10 · 🌀 gr-qc · cond-mat.stat-mech· hep-th· math-ph· math.MP

Principles for a Distinguished Global Vacuum: Entropy and the Vacuum State in Causal Set Theory

classification 🌀 gr-qc cond-mat.stat-mechhep-thmath-phmath.MP
keywords vacuumtheorycausalglobalprinciplessorkin-johnstonstateassumption
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Using the framework of real scalar field theory on causal sets, the intimate relation of the Sorkin-Johnston vacuum to entropic purity is elucidated. It is shown that taking a set of sensible principles, and the most natural assumption on the space of fields, leaves the Sorkin-Johnston state as the only candidate for the global vacuum of a quasifree theory.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Spectral Density of the Causal Propagator

    gr-qc 2026-05 unverdicted novelty 5.0

    Conjecture for the asymptotic spectral density of the causal propagator in free scalar QFT, supported by examples, with implications for Lorentzian spectral geometry.