{"REL":[{"a":1,"b":3,"eq":"−1 + 1 = 0 becomes the closure X + 1 = 0","ty":"minus","on":false,"d":1.7013017422215262,"isEdge":false},{"a":1,"b":5,"eq":"𝒯 is the alphabet of 𝔐₀ = (𝒯, 𝓘, Fix)","ty":"nul","on":true,"d":1.051462417094401,"isEdge":true},{"a":1,"b":7,"eq":"3 + 3 + 1 = 7 — the prism built from 𝒯","ty":"minus","on":true,"d":1.051462417094401,"isEdge":true},{"a":1,"b":9,"eq":"φⁿ = Fibₙφ + Fibₙ₋₁ feeds the lattice magnitude","ty":"gold","on":true,"d":1.051462417094401,"isEdge":true},{"a":2,"b":6,"eq":"the pipeline enumerates the projections of 𝔄","ty":"phase","on":false,"d":1.7013017422215262,"isEdge":false},{"a":2,"b":5,"eq":"𝓘(x) = −x is the transition function of 𝔐₀","ty":"phase","on":true,"d":1.051462417094401,"isEdge":true},{"a":2,"b":3,"eq":"stage one of the pipeline: seed → identities","ty":"phase","on":true,"d":1.051462417094401,"isEdge":true},{"a":2,"b":7,"eq":"the inversion stage is the pairing 𝒯 ∘ (−𝒯)","ty":"phase","on":true,"d":1.051462417094401,"isEdge":true},{"a":3,"b":4,"eq":"X + 1 = 0 as the shadow of ΩC² ≡ e^{iπ}","ty":"plus","on":true,"d":1.051462,"isEdge":true},{"a":3,"b":12,"eq":"x² − x − 1 = 0, solved by the quadratic formula","ty":"minus","on":true,"d":1.051462417094401,"isEdge":true},{"a":4,"b":12,"eq":"e^{iπ} = −1, recovered by Taylor partial sums","ty":"plus","on":true,"d":1.051462417094401,"isEdge":true},{"a":4,"b":6,"eq":"α ≡ Ω is the coherence primitive of 𝔄","ty":"phase","on":true,"d":1.0514624170944011,"isEdge":true},{"a":6,"b":8,"eq":"𝒞(n+1) = 𝒞(𝒞n): the axiom under recursion","ty":"phase","on":false,"d":1.701302,"isEdge":false},{"a":6,"b":11,"eq":"the listing enumerates 𝔄 line by line","ty":"phase","on":true,"d":1.051462417094401,"isEdge":true},{"a":7,"b":8,"eq":"7 → 8: completed closure returns at the next scale","ty":"gold","on":true,"d":1.051462,"isEdge":true},{"a":8,"b":9,"eq":"the φ-power ladder drives 𝒜ₙ = φ·Fibₙ·2ⁿ·Primeₙ","ty":"gold","on":true,"d":1.0514624170944011,"isEdge":true},{"a":8,"b":12,"eq":"φ² = φ + 1 in ordinary algebra","ty":"gold","on":true,"d":1.051462417094401,"isEdge":true},{"a":9,"b":10,"eq":"Dₙ(r) emitted as the lattice block of the spec","ty":"nul","on":true,"d":1.051462,"isEdge":true},{"a":10,"b":5,"eq":"𝔐₀ formalized as the executable machine spec","ty":"nul","on":true,"d":1.0514624170944011,"isEdge":true},{"a":10,"b":11,"eq":"the spec compresses to the numbered listing","ty":"nul","on":true,"d":1.051462417094401,"isEdge":true},{"a":11,"b":12,"eq":"listing identities checked in float64 arithmetic","ty":"nul","on":true,"d":1.051462,"isEdge":true}],"titles":["The Trinary Seed","Prismatic Inversion","The Zero Relation","Coupling as Origin","The Machine 𝔐₀","The Co-Emergent Axiom","The Prism of Seven","The Octave Return","The Dₙ(r) Lattice","The Machine Spec","The Listing","Traditional Algebra"],"dmin":1.051462,"onCount":18}