What would happen if systems believed their attracting sets had low entropy?

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• The results generalise readily to non-equilibrium systems where scaling relationships remain similar (e.g., dynamic or localised scaling).claim0.757
  Claim about broader applicability of the scaling argument
• No finite system A can measure the entanglement entropy S(|AB>) across the boundary B that separates it from its environment B (Fields & Glazebrook 2023, Corollary 3.1)finding0.755
  The core impossibility result imported from quantum information theory; basis of the entire argument
• Minimum entropy Markov blankets may characterize biological systems.claim0.737
  Conjecture about what distinguishes living from non-living systems.
• We conclude that certain systems cannot remain ordered over long ranges for all time, and suggest this no-go theorem as a source of fitness pressure for biological phenomena like stigmergy and embodiment.quote0.734
  Final concluding statement linking the mathematical result to biological evolution
• In hierarchical systems with independent cliques, there exist parameter regimes where individual cliques maintain uniform magnetisation while others flip.finding0.734
  Shows how hierarchical topology enables local order within global flexibility; explains biological multiscale organization
• The system acts to preserve as much of its structure as possible, removing as few symmetries as possible when symmetry breaking occurs.claim0.733
  Physical principle interpreted as a form of structure-preserving transformation, explaining phenomena like buckling and dew drops.
• How can increasing complexity and variety evolve over time given the second law of thermodynamics and statistical nature of quantum mechanics?question0.733
• There is not one singular, verifiable system of beauty, or architecture, or god, and I fear what would happen if there were.claim0.732
  Steenson's direct refutation of Alexander's late-life position on empirically verifiable order; articulated in context of 2020 authoritarianism and Black Lives Matter.