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A No-go theorem for Poincar\'e-invariant networks

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arxiv 1504.06070 v2 pith:532FKXUY submitted 2015-04-23 gr-qc

classification gr-qc
keywords e-invariantnetworkspoincardimensiondistributionexplainfinitelinks
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I explain why there are no Poincar\'e-invariant networks with a locally finite distribution of nodes and links in Minkowski-spacetime of any dimension.

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Cited by 2 Pith papers

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

  1. 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

    physics.gen-ph 2026-06 unverdicted novelty 4.0 of 10

    The paper derives a nonlocal phase-space uncertainty relation implying a minimal measurable length of order L_M and a finite phase-space cell in nonlocal QFT.

  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

    physics.gen-ph 2026-06 unverdicted novelty 3.0 of 10

    Derives nonlocal uncertainty relation with exact variance addition for localization width, implying minimal length L_M in UV limit of nonlocal QFT.

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