A No-go theorem for Poincaré-invariant networks

Abstract

I explain why there are no Poincaré-invariant networks with a locally finite distribution of nodes and links in Minkowski-spacetime of any dimension.

11 pages, 3 figures, replaced with published version

References in corpus (7)

• Discreteness without symmetry breaking: a theorem
• Emergent Spacetime in Stochastically Evolving Dimensions
• On the Causal Set-Continuum Correspondence
• Phenomenology of Space-time Imperfection II: Local Defects
• Emergence of string-like physics from Lorentz invariance in loop quantum gravity
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• Cosmological networks

Cited by in corpus (2)

• On the Meaning of Localization in Non-Local Quantum Field Theory and On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum
• Are There Testable Discrete Poincaré Invariant Physical Theories?