Purely local-interaction systems on 1D topologies cannot maintain long-range order at finite temperature.

{
  "doc": "/Users/antonborzov/Documents/Research.nosync/notes/2026-05-14_phil-trans-A-goodfire-aboutblank-impact.md",
  "claim": "Purely local-interaction systems on 1D topologies cannot maintain long-range order at finite temperature.",
  "vector": "alexander-s-15-properties-in-digital-conscious-space",
  "section": "B-Tier — #6",
  "extracted_at": 1778899439,
  "extracted_by": "haiku-4-5",
  "supporting_refs": [
    "Sacco, Sakthivadivel, Levin",
    "Peierls/Landau-Lifshitz extension"
  ]
}