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GRAIN: 9. THE CONVERGENCE CATALOGUE

#OIP#grain#philosophy#systems-theory#evidence
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*Not medical advice. Tier-honest. Cite claim/source ids.*

The Claim

Ten convergence nodes map identical patterns across independent domains.

Definitions

  • Convergence node: pattern in multiple domains.
  • Domain independence: derivations share no lineage.
  • Claim tier: T0=proof;T1=strongempirical;T2=moderate;T3=speculative;T4=boundary;T5=null.
  • Convergence strength: independence times tier weight.
  • Load-bearing node: strength>=6 and tier<=T1.
  • Falsifier: condition killing a claim.
  • Pareto: optimal allocation.
  • Duality: descriptions match.
  • Criticality: phase transition.
  • Scale invariance: scale-free.
  • Autopoiesis: self-production.
  • Emergence: properties arise at higher scales.
  • Teleology: purpose-directed causation.
  • Fine-tuning: constants permit life narrowly.
  • FEP: minimizes surprise.
  • Landauer bound: minimum erasure energy.
  • Ostrom's principles: common-pool rules.
  • Fundamental constants: underived parameters.

The Logic

  1. IF pattern P appears in independent domains, THEN N exists.
  2. IF tier=T0 and independence=1.0, THEN strength=10.
  3. IF tier=T1 and independence=1.0, THEN strength=8.
  4. IF strength>=6 and tier<=T1, THEN node qualifies as load-bearing.
  5. IF entropy maps to Pareto, THEN E1=8.
  6. IF least action maps to Pareto, THEN E2=7.
  7. IF symmetry maps to duality, THEN E3=9.
  8. IF criticality maps to scale invariance, THEN E4=8.
  9. IF information maps to recursion, THEN E5=7.
  10. IF feedback maps to autopoiesis, THEN E6=7.
  11. IF selection maps to emergence, THEN E7=8.
  12. IF scale invariance maps to networks, THEN E8=8.
  13. IF branching maps to networks, THEN E9=7.
  14. IF symmetry-breaking maps to attractors, THEN E10=9.
  15. IF selection contradicts teleology, THEN D1 exists.
  16. IF FEP minimizes surprise and criticality maximizes sensitivity, THEN D2 exists.
  17. IF systems extremize action and emergence produces new minima, THEN D3 exists.
  18. IF symmetry implies necessary laws and fine-tuning implies contingent constants, THEN D4 exists.
  19. IF engineering produces exponential scaling and scale invariance requires power-law, THEN D5 exists.

The Falsifier

  1. Derivation independence collapses for any load-bearing node.
  2. A single framework subsumes all nodes with no remainder.
  3. Ostrom's principles fail in controlled studies.
  4. Information erasure falls below the Landauer bound.
  5. All fundamental constants derive from first principles.

The Uncertainty

  1. FEP and criticality: contradiction or subsumption?
  2. Emergence and least action: reducible or irreducible?
  3. Physical laws: necessary or contingent?
  4. Branching: fractal or optimal?
  5. Selection: exhaustive of apparent purpose?

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