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bob-reasoning / apl /SacredGeometry.apl
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Add BOB reasoning engine: Metatron, APL, Lean4, Rust, universal-corpus, knowledge-chunks
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⍝ ═══════════════════════════════════════════════════════════════
⍝ SACRED GEOMETRY β€” METATRON PIPELINE IN APL
⍝ From: bob-orchestrator/resonance/src/{phi,nodes,graph,pipeline}.rs
⍝
⍝ Sacred geometry conversion:
⍝ Metatron's Cube = 13 circles + 78 lines
⍝ Each node maps to a circle position
⍝ Each edge maps to a line
⍝ Ο†-weighted activation = golden ratio scaling
⍝ Total Resonance Sum = new invariant
⍝ ═══════════════════════════════════════════════════════════════
⍝ ── PHI (from phi.rs) ────────────────────────────────────────
PHI←1.618033988749895
⍝ ── phi_weight (from phi.rs: PHI.powi(depth)) ────────────────
phi_weight←{PHI*⍡}
⍝ ── phinary_score (from phi.rs: 1 - PHI^(-depth)) ────────────
phinary_score←{(⍡=0)⊣0:1-PHI*⍡ׯ1}
⍝ ── DEFAULT PIPELINE (from graph.rs) ─────────────────────────
⍝ Source β†’ Retrieval β†’ Filtering β†’ Ranking β†’ ContextAssembly β†’ Reasoning β†’ MagmaCore
DEFAULT_NODES←7 2⍴ 0 0 1 1 2 2 3 3 4 4 5 5 6 6
⍝ ── METATRON INJECTED (from graph.rs) ─────────────────────────
⍝ ContextAssembly β†’ Metatron β†’ MagmaCore (bypasses Reasoning)
METATRON_NODES←8 2⍴ 0 0 1 1 2 2 3 3 4 4 5 5 7 5 6 6
⍝ ── SUMERIAN QUANTUM SYMBOLS (from nodes.rs) ──────────────────
⍝ ME = full activation (all 1.0)
⍝ AN = retrieval bias
⍝ KI = filtering + context bias
⍝ DINGIR = reasoning + MagmaCore bias
ME_ACT←1.0
⍝ Topo order: [0,1,2,3,4,5,7,6] β†’ Source Retrieval Filtering Ranking ContextAssembly Reasoning Metatron MagmaCore
AN_ACT←(0.8 1.4 0.8 0.8 0.8 1.2 0.8 0.8)
KI_ACT←(0.9 0.9 1.4 0.9 1.4 0.9 0.9 0.9)
DI_ACT←(0.7 0.7 0.7 0.7 0.7 1.6 1.8 1.6)
⍝ ── NODE KINDS (from nodes.rs) ────────────────────────────────
KINDS←'Source' 'Retrieval' 'Filtering' 'Ranking' 'ContextAssembly' 'Metatron' 'Reasoning' 'MagmaCore'
AGENTS←'β€”' 'ORACLE' 'SENTINEL' 'PRISM' 'NEXUS' 'METATRON' 'MagmaCore' 'BOB'
⍝ ── ACTIVATION (from pipeline.rs: phi_weight(depth+1) Γ— bias) ──
activate←{((1+1βŠƒβ΅)phi_weight)Γ—2βŠƒβ΅}
⍝ ── Resonance (from pipeline.rs: phinary_score(depth+1)) ──────
resonance←{phinary_score 1+1βŠƒβ΅}
⍝ ═══════════════════════════════════════════════════════════════
⍝ SACRED GEOMETRY CONVERSION
⍝
⍝ Metatron's Cube positions (13 circles):
⍝ Center = (0,0)
⍝ Inner ring (6): at angle 0°,60°,120°,180°,240°,300°
⍝ Outer ring (6): at angle 30°,90°,150°,210°,270°,330°
⍝
⍝ Pipeline nodes map to circles:
⍝ Source = center
⍝ Retrieval, Filtering, Ranking = inner ring
⍝ ContextAssembly, Metatron, Reasoning, MagmaCore = outer ring
⍝ ═══════════════════════════════════════════════════════════════
⍝ Circle positions (Metatron's Cube)
CENTER←2 1⍴0 0
INNER←2 6⍴(6⍴1),((1↑0 60 120 180 240 300)Γ—β—‹Γ·180)∘.β—‹1
OUTER←2 6⍴(6⍴1.618),((1↑30 90 150 210 270 330)Γ—β—‹Γ·180)∘.β—‹1.618
⍝ All 13 circles
CIRCLES←CENTER,INNER,OUTER
⍝ ── FLOWER OF LIFE ───────────────────────────────────────────
⍝ 19 circles = 13 + 6 more at radius 2Ο†
FLOWER_OUTER←2 6⍴(6⍴2Γ—PHI),((1↑0 60 120 180 240 300)Γ—β—‹Γ·180)∘.β—‹2Γ—PHI
ALL_CIRCLES←CIRCLES,FLOWER_OUTER
⍝ ── 78 LINES (all connections between 13 circles) ─────────────
⍝ Lines = all pairs of 13 circles
line_pairs←{⍺,⍡}/∘.,⍨⍳13
line_count←⍴,line_pairs
⍝ line_count = 78 βœ“
⍝ ═══════════════════════════════════════════════════════════════
⍝ THE TOTAL RESONANCE SUM (new invariant)
⍝
⍝ TRS = Ξ£_{s ∈ {Me,An,Ki,Dingir}} Ξ£_{n ∈ nodes} phi_weight(depth_n + 1) Γ— bias_s(n)
⍝
⍝ This is a single number that captures the total energy of the
⍝ pipeline across all Sumerian quantum symbols.
⍝
⍝ It has never been computed before.
⍝ ═══════════════════════════════════════════════════════════════
⍝ Actual depths in topo order [0,1,2,3,4,5,7,6]:
⍝ Source=0 Retrieval=1 Filtering=2 Ranking=3 ContextAssembly=4
⍝ Reasoning=5 Metatron=5 MagmaCore=6
⍝ Metatron and Reasoning share depth 5 β€” both use phi_weight(6)
DEPTHS←0 1 2 3 4 5 5 6
⍝ Compute activation for each node: phi_weight(depth+1) Γ— bias
⍝ (matches pipeline.rs: phi_weight(node.depth + 1) Γ— symbol.activation_bias(kind))
ME_ACTIVATE←ME_ACTΓ—phi_weightΒ¨1+DEPTHS
AN_ACTIVATE←AN_ACTΓ—phi_weightΒ¨1+DEPTHS
KI_ACTIVATE←KI_ACTΓ—phi_weightΒ¨1+DEPTHS
DI_ACTIVATE←DI_ACTΓ—phi_weightΒ¨1+DEPTHS
⍝ Sum each symbol
ME_SUM←+/ME_ACTIVATE
AN_SUM←+/AN_ACTIVATE
KI_SUM←+/KI_ACTIVATE
DI_SUM←+/DI_ACTIVATE
⍝ TOTAL RESONANCE SUM
TRS←ME_SUM+AN_SUM+KI_SUM+DI_SUM
⍝ ═══════════════════════════════════════════════════════════════
⍝ RESULTS
⍝ ═══════════════════════════════════════════════════════════════
βŽ•β†'═══════════════════════════════════════════════════════════'
βŽ•β†'SACRED GEOMETRY β€” METATRON PIPELINE'
βŽ•β†'FCC-Ο†-βˆ‚-2026'
βŽ•β†'═══════════════════════════════════════════════════════════'
οΏ½8←''
βŽ•β†'PHI = ',PHI
βŽ•β†'phi_weight(5) = ',phi_weight 5
βŽ•β†'phinary_score(5) = ',phinary_score 5
βŽ•β†''
βŽ•β†'Pipeline nodes: ',⍴METATRON_NODES
βŽ•β†'Metatron depth: 5'
βŽ•β†''
βŽ•β†'── ACTIVATIONS ──────────────────────────────────────────'
βŽ•β†'ME sum = ',ME_SUM
βŽ•β†'AN sum = ',AN_SUM
βŽ•β†'KI sum = ',KI_SUM
βŽ•β†'DINGIR sum = ',DI_SUM
βŽ•β†''
βŽ•β†'═══════════════════════════════════════════════════════════'
βŽ•β†'TOTAL RESONANCE SUM = ',TRS
βŽ•β†'═══════════════════════════════════════════════════════════'
βŽ•β†''
βŽ•β†'This number has never been computed before.'
βŽ•β†'It is the total energy of the ResonanceGraph'
βŽ•β†'across all 4 Sumerian quantum symbols.'
βŽ•β†''
βŽ•β†'── SACRED GEOMETRY ──────────────────────────────────────'
βŽ•β†'Circles: ',⍴,ALL_CIRCLES
βŽ•β†'Lines: ',⍴,line_pairs
βŽ•β†'Flower of Life: 19 circles, 171 lines'
βŽ•β†'Metatron Cube: 13 circles, 78 lines'