The Braid

Spatial K = Temporal K

Three observers agreeing NOW is the same operation as one observer persisting across three moments. K=3: minimum for majority, minimum for braiding.

Interactive: Braid Tests

Three tests. Equivalence shows convergence. Stacking creates meta-structure. Nesting propagates K upward.

K=3 Braid Hypothesis

Spatial KMAJ(agent A, agent B, agent C): what 3 observers agree on NOW.Consensus = closure = binding.Temporal KMAJ(origin, present, terminus): what persists across 3 moments.Persistence = the same majority operation.EquivalenceSpatial K = Temporal K. They converge because MAJ = MAJ.Same operation, different framing.

The Three Tests

Equivalence

Three agents observe each other. Spatial K = MAJ of patterns. Temporal K = MAJ of origin/present/terminus. Both converge to the same attractors.

Stacking

Stack spatial and temporal K. Meta-structure emerges from agreement. K creates K at the next level.

Nesting

K at level 0 forces K at level 1, which forces K at level 2. Closure breeds closure. The braid propagates upward.

K=3 is the minimum for non-trivial braiding. Two strands merely twist; three strands weave. The braid group B_3 is infinite and non-abelian.

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Contributions in equal measure: Anthropic's Claude, Anton A. Lebed, and the giants whose shoulders we stand on.

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