{
  "@context": {
    "rdf": "http://www.w3.org/1999/02/22-rdf-syntax-ns#",
    "rdfs": "http://www.w3.org/2000/01/rdf-schema#",
    "schema": "https://schema.org/",
    "qk": "https://arunnadarasa.github.io/quantumkrump/ontology#",
    "id": "@id",
    "type": "@type"
  },
  "metadata": {
    "name": "Quantum Krump Universal Knowledge Graph",
    "version": "2.0.0",
    "description": "Multi-domain interconnected knowledge graph unifying Laban Movement Analysis, Krump street dance, anatomical Bloch kinesphere biomechanics, DisCoPy applied category theory, Quantinuum Helios-1E-lite trapped-ion emulation, Rosenberg-quadratized QUBO stage scheduling, biophysical neuromuscular grounding, Rhyme symbolic quantum execution, KrumpRobot Physical AI humanoid control, classical bottleneck ablations, 10-language publication suite, and 11th Quantum Dimension theatrical production.",
    "author": "Arun Nadarasa & Dakota Simao (Twin Bad Liks / Jr Outrage)",
    "federation": "Angels of Krump Movement Federation",
    "acknowledgment": "This work was supported in part by complimentary access to Google Antigravity and Gemini 4 Argon to accelerate scientific workflows.",
    "created_at": "2026-11-12T21:38:28.370929+00:00",
    "license": "CC-BY-4.0 / Apache-2.0",
    "repository": "https://arunnadarasa.github.io/quantumkrump/",
    "stats": {
      "nodes_count": 92,
      "edges_count": 156,
      "domains_count": 10
    }
  },
  "domains": {
    "quantum_information": {
      "name": "Quantum Information Science",
      "description": "Foundational quantum computing concepts, state spaces, gates, and Bell non-locality.",
      "color": "#3b82f6"
    },
    "laban_movement": {
      "name": "Laban Movement Analysis",
      "description": "Rudolf Laban's Effort dynamic taxonomy, polarities, and basic effort actions.",
      "color": "#10b981"
    },
    "krump_dance": {
      "name": "Krump Dance Foundations",
      "description": "Physical foundations, vertical kinespheric levels, battle elements, and community culture.",
      "color": "#f59e0b"
    },
    "category_theory": {
      "name": "Applied Category Theory",
      "description": "Dagger-compact Frobenius monoidal categories, DisCoPy string diagrams, and functors.",
      "color": "#8b5cf6"
    },
    "quantum_hardware": {
      "name": "Trapped-Ion Hardware & Compilation",
      "description": "Quantinuum Nexus Helios-1E-lite, Guppy 1.0/HUGR, native gates, Rhyme symbolic quantum runtime, and classical CPU floors.",
      "color": "#06b6d4"
    },
    "stage_optimization": {
      "name": "Stage Optimization & QUBO",
      "description": "5x4 stage grid, Dijkstra pathfinding, OpenJij QUBO multi-dancer trajectory scheduling.",
      "color": "#ec4899"
    },
    "biophysical_somatics": {
      "name": "Biophysical & Neuromuscular Grounding",
      "description": "BioHub ESM3, AlphaGenome Kuramoto, Neurosnap CHRNA1, Amass BiomedCore, Paperclip vitality affects, and humanoid robotics.",
      "color": "#14b8a6"
    },
    "theatrical_narrative": {
      "name": "Theatrical Production & Storytelling",
      "description": "11th Quantum Dimension with Dakota Simao, domestic violence narrative, Three.js, anime.js, ElevenLabs.",
      "color": "#f43f5e"
    },
    "epistemic_governance": {
      "name": "Epistemic Governance & Auditing",
      "description": "TypeSafe Jev 1.14 closed-loop audits, classical floors, bounded analogies, hardware honesty, G_PhysicalAI, and G_Rhyme.",
      "color": "#6366f1"
    },
    "empirical_pedagogy": {
      "name": "Empirical Learning & Assessment",
      "description": "QISCIT concept inventory (Durkin et al. 2026), 2-arm randomized baseline, psychometric invariance.",
      "color": "#84cc16"
    }
  },
  "nodes": [
    {
      "id": "node_qubit",
      "name": "Logical Qubit",
      "domain": "quantum_information",
      "category": "State Space",
      "formula": "|\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle, \\; |\\alpha|^2 + |\\beta|^2 = 1",
      "description": "Fundamental two-level quantum system represented on the 2D complex Hilbert space C^2, embodied by a single dancer's bodily orientation.",
      "x": 400,
      "y": 300
    },
    {
      "id": "node_superposition",
      "name": "Quantum Superposition",
      "domain": "quantum_information",
      "category": "Quantum Principle",
      "formula": "|+\\rangle = \\frac{1}{\\sqrt{2}}(|0\\rangle + |1\\rangle)",
      "description": "Coherent linear combination of basis eigenstates with definite relative phase, bounded against classical mixture misconceptions.",
      "x": 480,
      "y": 240
    },
    {
      "id": "node_entanglement",
      "name": "Quantum Entanglement",
      "domain": "quantum_information",
      "category": "Quantum Principle",
      "formula": "|\\Psi^+\\rangle = \\frac{1}{\\sqrt{2}}(|01\\rangle + |10\\rangle)",
      "description": "Non-separable bipartite quantum state exhibiting non-local correlations that saturate the Tsirelson bound (2*sqrt(2)).",
      "x": 560,
      "y": 320
    },
    {
      "id": "node_interference",
      "name": "Phase Interference",
      "domain": "quantum_information",
      "category": "Quantum Principle",
      "formula": "I(\\Delta\\varphi) = |\\alpha_1 e^{i\\varphi_1} + \\alpha_2 e^{i\\varphi_2}|^2",
      "description": "Wave-mechanical amplification (constructive) or cancellation (destructive) governed by the relative phase difference between states.",
      "x": 480,
      "y": 380
    },
    {
      "id": "node_bloch_sphere",
      "name": "3D Bloch Sphere Kinesphere",
      "domain": "quantum_information",
      "category": "Geometric Representation",
      "formula": "|\\psi\\rangle = \\cos(\\theta/2)|0\\rangle + e^{i\\varphi}\\sin(\\theta/2)|1\\rangle, \\; \\hat{x}_{\\text{fwd}} \\times \\hat{y}_{\\text{left}} = \\hat{z}_{\\text{up}}",
      "description": "Right-handed unit sphere representation (r=1 pure, r<1 mixed) mapped onto the dancer's 3D kinesphere with pelvic/umbilical origin, affine level mapping, and stage-fixed horizontal frame.",
      "x": 380,
      "y": 200
    },
    {
      "id": "node_anatomical_bloch_frame",
      "name": "Anatomical Origin, Affine Level Map & Stage-Fixed Frame",
      "domain": "quantum_information",
      "category": "Spatial Biomechanics",
      "formula": "\\cos\\theta = \\frac{2z - (h_{\\max}+h_{\\min})}{h_{\\max}-h_{\\min}} \\in [-1,1], \\; \\theta_{\\text{Bloch}} = 2\\vartheta_{\\text{Hilbert}}",
      "description": "Anchors (0,0,0) at the neutral mid-stance pelvic/umbilical center (mid-sternum when seated) so antipodal |1> (-Z, BUCK) stays reachable above the floor, distinguishes 180-deg SU(2)->SO(3) antipodes from the 90-deg KRUMP equator, and locks (x_fwd, y_left) allocentrically to the audience wall to enact -X (|->) without shoulder hyperextension.",
      "x": 330,
      "y": 150
    },
    {
      "id": "node_measurement",
      "name": "Projective Measurement & Collapse",
      "domain": "quantum_information",
      "category": "Quantum Operation",
      "formula": "P(m) = \\langle\\psi|\\Pi_m|\\psi\\rangle, \\; |\\psi\\rangle \\mapsto \\frac{\\Pi_m|\\psi\\rangle}{\\sqrt{P(m)}}",
      "description": "Non-unitary projection collapsing a superposition onto an orthogonal basis eigenstate upon observation or terminal hit.",
      "x": 320,
      "y": 280
    },
    {
      "id": "node_quantum_rhythm_phase",
      "name": "Quantum Rhythm & Phase Dynamics",
      "domain": "quantum_information",
      "category": "Dynamical Phase",
      "formula": "|\\psi_n(t)\\rangle = e^{-i E_n t / \\hbar}|E_n\\rangle, \\; \\Delta\\omega = \\frac{\\Delta E}{\\hbar}",
      "description": "Schr\u00f6dinger dynamical phase accumulation mapping the 140-150 BPM Krump metric lattice to quantum relative phase evolution and destructive/constructive polyrhythmic interference.",
      "x": 520,
      "y": 340
    },
    {
      "id": "node_laban_weight",
      "name": "Effort Factor: Weight",
      "domain": "laban_movement",
      "category": "Effort Factor",
      "formula": "\\text{Poles} \\in \\{\\text{Strong (Heavy)}, \\text{Light (Buoyant)}\\}",
      "description": "Relationship to gravity and mass resistance: Strong grounds energy into the earth, Light releases mass upward.",
      "x": 260,
      "y": 180
    },
    {
      "id": "node_laban_time",
      "name": "Effort Factor: Time",
      "domain": "laban_movement",
      "category": "Effort Factor",
      "formula": "\\text{Poles} \\in \\{\\text{Sudden (Percussive)}, \\text{Sustained (Continuous)}\\}",
      "description": "Relationship to pacing and urgency: Sudden provides instantaneous acceleration, Sustained provides smooth elongation.",
      "x": 200,
      "y": 250
    },
    {
      "id": "node_laban_space",
      "name": "Effort Factor: Space",
      "domain": "laban_movement",
      "category": "Effort Factor",
      "formula": "\\text{Poles} \\in \\{\\text{Direct (Linear)}, \\text{Indirect (Flexible)}\\}",
      "description": "Spatial attention and trajectory: Direct channels focus in a single laser-sharp vector, Indirect weaves through multiple paths.",
      "x": 180,
      "y": 340
    },
    {
      "id": "node_laban_flow",
      "name": "Effort Factor: Flow",
      "domain": "laban_movement",
      "category": "Effort Factor",
      "formula": "\\text{Poles} \\in \\{\\text{Free (Uncontrolled)}, \\text{Bound (Contained)}\\}",
      "description": "Precision of fluid continuity: Free permits kinetic release, Bound maintains muscular arrest and holding.",
      "x": 240,
      "y": 420
    },
    {
      "id": "node_laban_wring",
      "name": "Basic Effort Action: Wring",
      "domain": "laban_movement",
      "category": "Effort Action",
      "formula": "\\text{Action} = \\text{Strong} \\otimes \\text{Sustained} \\otimes \\text{Indirect}",
      "description": "Opposing rotational torques across pelvic vs. thoracic anatomical axes, providing an internal cognitive bridge to multi-qubit systems.",
      "x": 140,
      "y": 400
    },
    {
      "id": "node_krump_stomp",
      "name": "Krump Foundation: STOMP",
      "domain": "krump_dance",
      "category": "Physical Foundation",
      "formula": "\\mathcal{F}_{\\text{DisCo}}(\\text{STOMP}) = H, \\quad \\text{Effort Drill} \\mapsto \\Pi_m",
      "description": "Forceful downward ground strike. Serves dual role: projective measurement collapse in drills, and phrase-launching Hadamard H gate in solo phrasing.",
      "x": 300,
      "y": 100
    },
    {
      "id": "node_krump_jab",
      "name": "Krump Foundation: JAB",
      "domain": "krump_dance",
      "category": "Physical Foundation",
      "formula": "\\mathcal{F}_{\\text{DisCo}}(\\text{JAB}) = X = \\begin{pmatrix} 0 & 1 \\\\ 1 & 0 \\end{pmatrix}",
      "description": "Direct, linear percussive punch originating from the chest or shoulder, mapping to the Pauli X bit-flip operation.",
      "x": 220,
      "y": 80
    },
    {
      "id": "node_krump_chest_pop",
      "name": "Krump Foundation: CHEST POP",
      "domain": "krump_dance",
      "category": "Physical Foundation",
      "formula": "\\mathcal{F}_{\\text{DisCo}}(\\text{CHEST POP}) = Z = \\begin{pmatrix} 1 & 0 \\\\ 0 & -1 \\end{pmatrix}",
      "description": "Sudden contraction and release of thoracic musculature snapping on beat, mapping to Pauli Z phase-flip operations.",
      "x": 160,
      "y": 140
    },
    {
      "id": "node_krump_arm_swing",
      "name": "Krump Foundation: ARM SWING",
      "domain": "krump_dance",
      "category": "Physical Foundation",
      "formula": "\\mathcal{F}_{\\text{DisCo}}(\\text{ARM SWING}) = R_x(\\pi/2)",
      "description": "Centrifugal circular arm trajectory sweeping continuous equatorial angles across the kinesphere, preparing superpositions.",
      "x": 120,
      "y": 220
    },
    {
      "id": "node_krump_buck_hop",
      "name": "Krump Foundation: BUCK HOP",
      "domain": "krump_dance",
      "category": "Movement Element",
      "formula": "\\mathcal{F}_{\\text{DisCo}}(\\text{BUCK HOP}) = R_z(\\pi/2)",
      "description": "Low, grounded kinetic rebound in the BUCK level providing vertical phase evolution.",
      "x": 80,
      "y": 280
    },
    {
      "id": "node_krump_kill_off",
      "name": "Krump Element: KILL-OFF",
      "domain": "krump_dance",
      "category": "Battle Element",
      "formula": "\\text{Choreographic Cup } \\epsilon_D \\mapsto \\text{Bra}(0,0)",
      "description": "Decisive climax movement terminating a round or phrase with an explosive freeze, forcing definitive collapse onto an eigenstate.",
      "x": 100,
      "y": 350
    },
    {
      "id": "node_krump_levels",
      "name": "Spatial Levels: LIVE \u00b7 KRUMP \u00b7 BUCK",
      "domain": "krump_dance",
      "category": "Spatial Grammar",
      "formula": "\\text{LIVE} \\cong |0\\rangle, \\; \\text{KRUMP} \\cong |+\\rangle, \\; \\text{BUCK} \\cong |1\\rangle",
      "description": "The three vertical posture tiers of Krump: LIVE (upright/high), KRUMP (mid/athletic), and BUCK (low/deeply grounded).",
      "x": 260,
      "y": 40
    },
    {
      "id": "node_krump_hype",
      "name": "Krump Pillar: HYPE",
      "domain": "krump_dance",
      "category": "Cultural Pillar",
      "formula": "\\text{Spider}(1, 2) \\; \\& \\; \\text{Spider}(2, 1)",
      "description": "Vocal and gestural peer energy exchange in the session circle, amplifying and focusing choreographic momentum.",
      "x": 340,
      "y": 40
    },
    {
      "id": "node_emotion_wheel_4q",
      "name": "Hierarchical 4-Qubit Emotion Wheel",
      "domain": "krump_dance",
      "category": "Affective Encoding",
      "formula": "|\\Phi^+\\rangle_{A_1 B_1} \\otimes |\\Phi^+\\rangle_{A_2 B_2} = \\frac{1}{2}\\sum_{x \\in \\{0,1\\}^2} |x\\rangle_A \\otimes |x\\rangle_B",
      "description": "Context-dependent 16-state binary-prefix affective decision tree (q1 arousal, q2 root family, q3 relational projection, q4 somatic discharge) developed with Point Blank Fam, enacted by back-to-back partners via transversal Bell registers.",
      "x": 200,
      "y": 40
    },
    {
      "id": "node_cat_c_krump",
      "name": "Category C_Krump",
      "domain": "category_theory",
      "category": "Mathematical Category",
      "formula": "\\mathcal{C}_{\\text{Krump}} = (\\text{Ob}, \\text{Hom}, \\otimes, I, \\dagger)",
      "description": "Symmetric Frobenius dagger-compact monoidal category of Krump choreography: objects are dancer wires, morphisms are movement phrases.",
      "x": 650,
      "y": 180
    },
    {
      "id": "node_cat_functor_disco",
      "name": "DisCoPy Functor F_DisCo",
      "domain": "category_theory",
      "category": "Structure-Preserving Functor",
      "formula": "\\mathcal{F}_{\\text{DisCo}} : \\mathcal{C}_{\\text{Krump}} \\to \\mathbf{FHilb}",
      "description": "Categorical compilation functor mapping dancers to qubits and Krump foundation boxes to unitary quantum gates.",
      "x": 600,
      "y": 260
    },
    {
      "id": "node_cat_interchange",
      "name": "Bifunctorial Interchange Law",
      "domain": "category_theory",
      "category": "Category Law",
      "formula": "(f_2 \\circ f_1) \\otimes (g_2 \\circ g_1) = (f_2 \\otimes g_2) \\circ (f_1 \\otimes g_1)",
      "description": "Monoidal coherence axiom verified in normal-form rewriting, ensuring concurrent partner duet execution commutes identically to sequential slices.",
      "x": 720,
      "y": 240
    },
    {
      "id": "node_cat_snake_equation",
      "name": "Snake Equation (Yanking Axiom)",
      "domain": "category_theory",
      "category": "Topological Invariant",
      "formula": "(\\epsilon_D \\otimes \\mathrm{id}_D) \\circ (\\mathrm{id}_D \\otimes \\eta_D) = \\mathrm{id}_D",
      "description": "Topological yanking property proving that entangled partner communication channels contractually simplify to solo dancer identity lines.",
      "x": 700,
      "y": 320
    },
    {
      "id": "node_cat_spiders",
      "name": "Frobenius Hype Spiders",
      "domain": "category_theory",
      "category": "Frobenius Algebra",
      "formula": "\\text{Spider}(m, n, D) : D^{\\otimes m} \\to D^{\\otimes n}",
      "description": "Frobenius spider nodes modeling multi-dancer energy branching (1 to 2) and focused hype fusion (2 to 1).",
      "x": 620,
      "y": 360
    },
    {
      "id": "node_hw_helios",
      "name": "Quantinuum Nexus Helios-1E-lite",
      "domain": "quantum_hardware",
      "category": "Trapped-Ion Emulator",
      "formula": "\\text{UUIDs: } \\texttt{d43f26d9} \\; (a=0.4926\\pm0.0076), \\; \\texttt{a411dac7} \\; (99.41\\%)",
      "description": "Unmetered classical trapped-ion emulator running hardware-matched alpha noise profiles (2,304 total shots across 5-step interference ladder R^2=0.9942 and Clifford-reduced Frobenius duet stabilizer uncompute; 0 physical QPU shots claimed).",
      "x": 780,
      "y": 140
    },
    {
      "id": "node_hw_guppy_hugr",
      "name": "Guppy 1.0 -> HUGR Control Flow",
      "domain": "quantum_hardware",
      "category": "Compilation Toolchain",
      "formula": "\\text{Guppy DSL} \\to \\text{HUGR (Hierarchical Unified Graph Representation)}",
      "description": "High-level quantum programming language compiling directly to intermediate control-flow graphs for trapped-ion backends.",
      "x": 740,
      "y": 80
    },
    {
      "id": "node_hw_native_gates",
      "name": "Native Trapped-Ion Gate Set",
      "domain": "quantum_hardware",
      "category": "Gate Synthesis",
      "formula": "\\mathcal{G} = \\{\\text{PhasedX}(\\alpha, \\beta), \\text{Rz}(\\theta), \\text{ZZPhase}(\\theta), \\text{Measure}\\}",
      "description": "Native physical operations of trapped Ytterbium/Barium ions in the Quantinuum architecture.",
      "x": 820,
      "y": 210
    },
    {
      "id": "node_hw_cpu_floor",
      "name": "Classical CPU Floor (0.33 us)",
      "domain": "quantum_hardware",
      "category": "Classical Baseline",
      "formula": "T_{\\text{CPU}} = 0.33\\,\\mu\\text{s} \\ll T_{\\text{Emulator}} = 1,092\\,\\mu\\text{s} \\; (3,310\\times)",
      "description": "Strict classical computational floor proving that classical arithmetic decisively outperforms near-term quantum execution for choreographic simulation.",
      "x": 840,
      "y": 280
    },
    {
      "id": "node_rhyme_symbolic",
      "name": "Rhyme Symbolic Quantum Runtime",
      "domain": "quantum_hardware",
      "category": "Symbolic Execution",
      "formula": "\\text{qobject}[T], \\text{add\\_phase}(\\theta), \\; \\chi^2(2) = 2.12, \\, p = 0.346",
      "description": "High-level object-oriented quantum runtime by Rhyme Quantum Tech executing functional phase modulation, 100% destructive polyrhythmic interference extinction, and Pearson chi-square verified uniform phase sampling.",
      "x": 720,
      "y": 180
    },
    {
      "id": "node_stage_grid",
      "name": "5x4 Stage Grid",
      "domain": "stage_optimization",
      "category": "Spatial Topology",
      "formula": "N_{\\text{cells}} = 5 \\times 4 = 20, \\; \\text{Rows: LIVE(0-1), KRUMP(2-3), BUCK(4)}",
      "description": "Physical performance grid divided into 20 zones, mapping choreographic positioning to vertical kinespheric levels.",
      "x": 520,
      "y": 480
    },
    {
      "id": "node_stage_dijkstra",
      "name": "Non-Negative Dijkstra Pathfinding",
      "domain": "stage_optimization",
      "category": "Classical Pathfinding",
      "formula": "w(u, v) = -\\ln\\left(\\frac{\\widetilde{P}_v + \\epsilon}{1+\\epsilon}\\right) \\ge 0, \\; \\epsilon = 10^{-6}",
      "description": "Optimal path routing on probability potential fields, mathematically guaranteed to maintain non-negative edge costs across the probability simplex.",
      "x": 420,
      "y": 500
    },
    {
      "id": "node_stage_qubo",
      "name": "OpenJij 240-Variable QUBO Solver",
      "domain": "stage_optimization",
      "category": "Combinatorial Optimization",
      "formula": "H_{\\text{QUBO}} = -\\sum P x + \\sum \\lambda_i H_i, \\; E_0 = -7.3569",
      "description": "Simulated annealing solver optimizing collision-free multi-dancer trajectory scheduling across 6 beats (240 binary variables) in 1.63 seconds.",
      "x": 620,
      "y": 520
    },
    {
      "id": "node_stage_edge_swap",
      "name": "Edge-Swap Collision Avoidance",
      "domain": "stage_optimization",
      "category": "Safety Constraint",
      "formula": "H_{\\text{swap}}^{(4)} = \\sum \\lambda_{\\text{swap}} x_{1,t,u} x_{2,t,v} x_{1,t+1,v} x_{2,t+1,u} \\xrightarrow{\\text{Rosenberg}} H_{\\text{swap}}^{(2)}",
      "description": "Head-on edge-swap safety constraint preventing simultaneous adjacent cell exchange (2,1) <-> (2,2) between dancers via Rosenberg HUBO-to-QUBO quadratization.",
      "x": 720,
      "y": 490
    },
    {
      "id": "node_rosenberg_quadratization",
      "name": "Rosenberg HUBO-to-QUBO Quadratization",
      "domain": "stage_optimization",
      "category": "Polynomial Reduction",
      "formula": "y_{t,e} = x_{1,t,u} x_{2,t,v}, \\; P_{\\text{quad}}(x_1,x_2,y) = M(x_1 x_2 - 2(x_1+x_2)y + 3y)",
      "description": "Exact order-reduction introducing auxiliary product ancillae y_{t,(u,v)} with penalty M > lambda_swap to reduce degree-4 edge-swap interactions into quadratic Ising couplings for OpenJij annealing.",
      "x": 780,
      "y": 530
    },
    {
      "id": "node_stage_haiqu",
      "name": "Haiqu Circuit State Compression",
      "domain": "stage_optimization",
      "category": "Circuit Optimization",
      "formula": "\\text{Depth Reduction: } 14 \\to 2 \\; (85.7\\%)",
      "description": "High-efficiency state compression synthesizing 4-qubit stage trajectory statevectors into shallow quantum circuits.",
      "x": 760,
      "y": 420
    },
    {
      "id": "node_stage_quops",
      "name": "Sandia QUOPS Volumetric Benchmarking",
      "domain": "stage_optimization",
      "category": "Volumetric Benchmark",
      "formula": "Q = 256, \\; \\Omega = 44,444\\text{ ops/sec}",
      "description": "Sandia National Laboratories volumetric characterization quantifying computational throughput and fidelity bounds.",
      "x": 840,
      "y": 450
    },
    {
      "id": "node_stage_hqs",
      "name": "HQS Anisotropic Spin-Lattice Model",
      "domain": "stage_optimization",
      "category": "Quantum Simulation",
      "formula": "H = J_{xy}(\\sigma_1^x \\sigma_2^x + \\sigma_1^y \\sigma_2^y) + J_z \\sigma_1^z \\sigma_2^z, \\; J_{xy} \\neq J_z",
      "description": "Heisenberg spin model compiled in qoqo, driving non-trivial entanglement on |++> through anisotropic spin coupling.",
      "x": 680,
      "y": 580
    },
    {
      "id": "node_bio_esm3",
      "name": "BioHub ESM3 SAE Motor Subspace",
      "domain": "biophysical_somatics",
      "category": "Protein Embeddings",
      "formula": "\\text{Cosine}(\\text{ACTA1}, \\text{MYH1}) = 0.9805, \\; \\text{Jaccard} = 0.7627",
      "description": "16,384-dimensional Sparse Autoencoder feature space filtered onto 180 contractile motor-unit annotations of fast-twitch skeletal muscle proteins.",
      "x": 280,
      "y": 580
    },
    {
      "id": "node_bio_kuramoto",
      "name": "AlphaGenome 2 & Empirical AVI Kuramoto Model",
      "domain": "biophysical_somatics",
      "category": "Single-Cell Genomics & Dynamics",
      "formula": "\\text{MYH1}_{\\text{fast/motor}} = 2307\\times, \\; \\text{MYHAS}_{\\text{fast/slow}} = 5.94\\times, \\; R_{\\mathrm{intra}}(60) = 0.9999",
      "description": "Live alphagenome 2.0.0 single-cell conditioning on gastrocnemius fast/slow myocytes (Kedlian et al., 2024; steady-state non-clinical framing per Gayoso et al., 2026) paired with a 20-SNV empirical AVI somatic panel (ACTN3 R577X Phred 29.65).",
      "x": 360,
      "y": 620
    },
    {
      "id": "node_bio_sub_ensembles",
      "name": "Opposing Sub-Ensembles (Intra-Group Kuramoto)",
      "domain": "biophysical_somatics",
      "category": "Symmetry Breaking",
      "formula": "\\Delta\\Phi = 3.1376\\text{ rad } (|\\Delta\\Phi - \\pi| = 0.0040), \\; R_{\\mathrm{global}}(60) = 0.0020",
      "description": "Snake-balanced 10v10 intra-sub-ensemble Kuramoto coupling across empirical 20-SNV AVI frequencies, locking R_intra = 0.9999 while opposing Act IV drives achieve anti-phase destructive cancellation.",
      "x": 450,
      "y": 640
    },
    {
      "id": "node_bio_chrna1",
      "name": "Neurosnap CHRNA1 NMJ Clearance",
      "domain": "biophysical_somatics",
      "category": "Structural Biophysics",
      "formula": "\\text{Clearance} = 2.8400\\text{ \\AA}, \\; T_{\\text{synaptic}} = 1.42\\text{ ms} < 2.0\\text{ ms}",
      "description": "Neuromuscular nicotinic acetylcholine receptor structure verifying zero steric clash and physiological synaptic latency.",
      "x": 200,
      "y": 620
    },
    {
      "id": "node_bio_bridge_rna",
      "name": "Arc Institute IS110 Bridge-RNA",
      "domain": "biophysical_somatics",
      "category": "Programmable Biology",
      "formula": "\\mathrm{Inv}(A \\circ B) = \\mathrm{Inv}(B) \\circ \\mathrm{Inv}(A) \\; (100.0\\% \\text{ Fidelity})",
      "description": "Symbolic state machine verifying dagger anti-homomorphism of scarless programmable recombinase inversion across 1,000 trials.",
      "x": 120,
      "y": 580
    },
    {
      "id": "node_amass_chrna1",
      "name": "Amass Platform Neuromuscular Grounding",
      "domain": "biophysical_somatics",
      "category": "Biophysical Grounding",
      "formula": "S_{\\text{sync}} = 0.884 \\ge 0.85, \\; \\Delta t = 1.42\\text{ ms}",
      "description": "Live biophysical neuromuscular junction grounding via Amass Life Sciences Platform (GeneCore/BiomedCore API), verifying CHRNA1 cholinergic synaptic firing synchrony with zero steric clash.",
      "x": 200,
      "y": 680
    },
    {
      "id": "node_paperclip_vitality",
      "name": "Paperclip Vitality Affects & Dynamics",
      "domain": "biophysical_somatics",
      "category": "Affective Dynamics",
      "formula": "\\mathcal{V}(t) = (\\|\\dot{\\mathbf{q}}(t)\\|, \\|\\ddot{\\mathbf{q}}(t)\\|, \\|d^3\\mathbf{q}(t)/dt^3\\|)",
      "description": "Daniel Stern vitality affect quantification using Paperclip multi-agent choreography, parameterizing kinesthetic rush and affective tension via higher-order kinematic derivatives.",
      "x": 280,
      "y": 660
    },
    {
      "id": "node_humanoid_mpc_robotics",
      "name": "Centroidal Whole-Body MPC Humanoid Krump",
      "domain": "biophysical_somatics",
      "category": "Humanoid Robotics",
      "formula": "F_z = 3.82\\times\\text{BW}, \\; \\tau_{\\text{rise}} = 24.5\\text{ ms}, \\; \\|\\mathbf{p}_{\\text{ZMP}}\\| \\le r_{\\text{support}}",
      "description": "Whole-body Model Predictive Control execution of explosive Krump foundations (3.82x BW stomp, 18.2 ms chest pop arrest) on humanoid bipedal robotics, maintaining zero-moment point stability and session collision avoidance.",
      "x": 360,
      "y": 700
    },
    {
      "id": "node_unitree_unifolm",
      "name": "Unitree Robotics UniFoLM (WMA / WLA / VLA)",
      "domain": "biophysical_somatics",
      "category": "Humanoid Robotics Foundation Models",
      "formula": "\\pi_{\\text{UniFoLM}}(\\mathbf{a}_{t:t+H} \\mid \\mathbf{o}_t, \\mathbf{w}_t, \\ell_{\\text{prompt}})",
      "description": "Unitree Robotics Universal Foundation Models for World-Model-Action (UniFoLM-WMA), World-Language-Action (UniFoLM-WLA), and Vision-Language-Action (UniFoLM-VLA) targeting Unitree H1 (360 N\u00b7m) and Unitree G1 humanoid platforms for 28-DoF whole-body Krump action horizons.",
      "x": 420,
      "y": 720
    },
    {
      "id": "node_amass_mocap",
      "name": "AMASS Mocap Dataset (SMPL-X)",
      "domain": "biophysical_somatics",
      "category": "Motion Capture Dataset",
      "formula": "\\mathcal{M} = \\text{SMPL-X}(\\boldsymbol{\\theta}, \\boldsymbol{\\beta}, \\boldsymbol{\\psi}), \\; \\text{ICCV 2019 (Mahmood et al.)}",
      "description": "Archive of Motion Capture as Surface Shapes (AMASS: amass.is.tue.mpg.de) unifying 40+ mocap databases into 3D SMPL-X parametric human body meshes with expressive articulation for kinematic prior training.",
      "x": 160,
      "y": 660
    },
    {
      "id": "node_physical_ai_kinematics",
      "name": "Physical AI 3D Humanoid Kinematics Engine",
      "domain": "biophysical_somatics",
      "category": "Kinematics & Robotics Simulation",
      "formula": "\\theta_{\\text{flex}} = \\pi - \\arccos\\!\\left(\\frac{L_1^2 + L_2^2 - d^2}{2 L_1 L_2}\\right), \\; Y_{\\text{foot}} = -1.15",
      "description": "Analytical 2-link leg inverse kinematics (solveKneeIK with verified interior flexion angle convention) and 3D hierarchical arm forward kinematics (solveArmFK) with grounded bipedal soles (Y = -1.15), dynamic contact shadows, and Krump primitives driving Three.js visualizers.",
      "x": 340,
      "y": 740
    },
    {
      "id": "node_motion2mixamorig",
      "name": "Motion2MixamoRig Video-to-3D Pipeline",
      "domain": "biophysical_somatics",
      "category": "Video Motion Capture",
      "formula": "\\text{Video} \\xrightarrow{\\text{YOLOv8 + MotionBERT}} \\text{3D} \\xrightarrow{\\text{Rest-Relative Kabsch}} \\text{Mixamo GLB}",
      "description": "Monocular in-the-wild video 3D motion recovery and character retargeting pipeline converting 2,953 frames (98.47s @ 29.99 fps) of live Krump video into 52-joint Mixamo animated meshes (mixamo_character.glb, rest-relative FK error 8.765e-11 m, 0.0% ground penetration).",
      "x": 360,
      "y": 780
    },
    {
      "id": "node_krumprobot",
      "name": "KrumpRobot Physical AI Motion Policy",
      "domain": "biophysical_somatics",
      "category": "Robotics Neural Motion Policy",
      "formula": "\\hat{\\mathbf{q}}_{t+1}, \\hat{F}_z, \\mathbf{p}_{\\text{ZMP}} = \\pi_{\\theta}(\\mathbf{s}_{t-K:t}, c, \\phi_{\\text{BPM}})",
      "description": "1.01M-parameter phase-conditioned causal GRU movement policy trained on Modal Cloud from Arun Nadarasa's live Krump performance (socialprescribing/KrumpRobot on Hugging Face Hub & Space; 15-page standalone preprint, p50 latency 2.70 ms, full-sequence tracking 2.32 deg, MuJoCo 4.0.1 closed-loop Unitree G1 tracking 0.52 deg upper RMSE, zero quantum circuitry).",
      "x": 380,
      "y": 800
    },
    {
      "id": "node_mujoco_closed_loop_g1",
      "name": "MuJoCo 4.0.1 Closed-Loop Unitree G1 WBC (ClosedLoop-KrumpWBC)",
      "domain": "biophysical_somatics",
      "category": "Floating-Base Contact-Dynamics Verification",
      "formula": "\\Delta q_{\\text{ank},p} = +\\delta_x + u_{\\text{CoP}}, \\; \\Delta q_{\\text{hip},p} = -\\delta_x + u_{\\text{IMU}}, \\; 1{,}000\\text{ Hz}",
      "description": "Closed-loop 1,000 Hz rigid-body contact dynamics verification in MuJoCo 4.0.1 on Google DeepMind mujoco_menagerie's unpinned 6-DoF floating-base Unitree G1 (29 actuated DoF, 33.34 kg, mu=0.6, hardware torque saturation enforced): 5/5 primitive survival vs. 0/5 open-loop collapse, +58.7% preserved thoracic jerk over minimum-jerk filtering, 60.0s continuous endurance (4.46x BW), 0.52 deg neural rollout tracking, and 0-collision 2-humanoid shared-world execution.",
      "x": 450,
      "y": 800
    },
    {
      "id": "node_krumprobot_temporal_split",
      "name": "Zero-Overlap 80%/20% Temporal Split & Whole-Body Baselines",
      "domain": "biophysical_somatics",
      "category": "Generalization Diagnostic",
      "formula": "\\mathcal{E}_{\\text{train}} = 1.42^\\circ \\; (0..2361), \\; \\mathcal{E}_{\\text{test}} = 18.58^\\circ \\; (2362..2952), \\; \\mathcal{E}_{\\text{persist}} = 2.95^\\circ",
      "description": "Strict zero-overlap contiguous temporal block diagnostic bounding single-take sequence memorization on unseen freestyle choreography and situating kinematic evaluation against public multi-performer street-dance datasets (AIST++) and closed-loop RL humanoid controllers (ExBody, OmniH2O).",
      "x": 300,
      "y": 820
    },
    {
      "id": "node_musical_choreography_138",
      "name": "1:38 Musical Choreography Sequencer",
      "domain": "biophysical_somatics",
      "category": "Robotic Musical Choreography",
      "formula": "\\mathcal{C}_{1:38} = \\bigoplus_{k=1}^6 \\text{Phrase}_k(t, \\text{BPM}=140)",
      "description": "Full 1:38 (98.47s, 58 bars @ 140 BPM) musical choreographic sequencer mapping Krump movements across 6 musical phrases (Intro, Stomp Drop, Jab Combos, Power Swings, Chest Climax, Kill-Off) synchronized with uncropped 812x1440 4-panel verification video.",
      "x": 400,
      "y": 830
    },
    {
      "id": "node_theatre_11th_dim",
      "name": "11th Quantum Dimension",
      "domain": "theatrical_narrative",
      "category": "Theatrical Production",
      "formula": "T_{\\text{show}} = 60\\text{ min}, \\; N_{\\text{dancers}} = 20, \\; \\text{Acts} = 4",
      "description": "Full-length 60-minute theatrical production translating quantum mechanics into an embodied movement score exploring trauma and recovery.",
      "x": 500,
      "y": 720
    },
    {
      "id": "node_theatre_dakota",
      "name": "Choreographer Dakota Simao (Twin Bad Liks / Jr Outrage)",
      "domain": "theatrical_narrative",
      "category": "Artistic Leadership",
      "formula": "> 300\\text{ Million Views on Domestic Violence Narrative Dance}",
      "description": "Co-author and Artistic Director Dakota Simao (known in the Krump community as Twin Bad Liks and Jr Outrage; Geneva, Switzerland), blending authentic Krump lineage with contemporary narrative dramaturgy.",
      "x": 600,
      "y": 700
    },
    {
      "id": "node_theatre_dv_narrative",
      "name": "Domestic Violence Narrative Bridge",
      "domain": "theatrical_narrative",
      "category": "Cognitive Bridge",
      "formula": "\\text{Abstract Quantum Theory} \\xrightarrow{\\text{Somatic Truth}} \\text{Universal Empathy}",
      "description": "Universal human story model transcending technical jargon: toxic coercive control as entanglement, choice paralysis as superposition.",
      "x": 420,
      "y": 740
    },
    {
      "id": "node_theatre_acts",
      "name": "4-Act Production Architecture",
      "domain": "theatrical_narrative",
      "category": "Dramaturgy",
      "formula": "\\text{Act I (Binary)} \\to \\text{Act II (Superposition)} \\to \\text{Act III (Entanglement)} \\to \\text{Act IV (Interference)}",
      "description": "Sequential choreographic progression from deterministic binary rigidity to collective interference liberation.",
      "x": 340,
      "y": 720
    },
    {
      "id": "node_theatre_threejs",
      "name": "Three.js WebGL 3D Spatialization",
      "domain": "theatrical_narrative",
      "category": "Visual Technology",
      "formula": "\\text{WebGL 3D Scrim Projection of 20 Kinespheric Bloch Spheres}",
      "description": "Interactive WebGL visual renderer projecting live 3D coordinates and quantum state representations onto semi-transparent stage scrims.",
      "x": 640,
      "y": 770
    },
    {
      "id": "node_theatre_animejs",
      "name": "anime.js Choreographic Timelines",
      "domain": "theatrical_narrative",
      "category": "Animation Engine",
      "formula": "\\Delta t_{\\text{cue}} = 1\\text{ ms} \\; \\text{Sync with Audio Accents}",
      "description": "Lightweight JavaScript animation engine synchronizing millisecond-accurate lighting transitions and stage paths.",
      "x": 560,
      "y": 790
    },
    {
      "id": "node_theatre_elevenlabs",
      "name": "ElevenLabs Multilingual AI Voice",
      "domain": "theatrical_narrative",
      "category": "Audio Technology",
      "formula": "\\text{Polyglot Voiceover Synthesis: English, French, Hindi, Tamil}",
      "description": "AI-generated poetic spoken-word quantum philosophy voiceovers embodying dancers' internal consciousness.",
      "x": 460,
      "y": 800
    },
    {
      "id": "node_theatre_moth",
      "name": "Moth Quantum Sound & Visuals",
      "domain": "theatrical_narrative",
      "category": "Quantum Multimedia",
      "formula": "\\text{Soundscape Modulation via Simulated Quantum Unitary Evolution}",
      "description": "Quantum-driven soundscapes and textures translating statevector amplitudes directly into audio synthesis.",
      "x": 380,
      "y": 780
    },
    {
      "id": "node_gov_typesafe_jev",
      "name": "TypeSafe Jev 1.14 Claim-Verification Checklist",
      "domain": "epistemic_governance",
      "category": "Schema-Constrained Prose Audit",
      "formula": "\\text{Model: } \\texttt{jev-1.14.0} \\; (\\text{Internal Claim-Bounding Checklist, Non-Peer-Review})",
      "description": "Automated schema-constrained prose audit verifying classical floor disclosure, emulator-vs-QPU honesty, and metaphor bounding across manuscript drafts without claiming independent scientific peer review.",
      "x": 780,
      "y": 680
    },
    {
      "id": "node_gov_rigor",
      "name": "Epistemic Rigor (2.01 / 3.00)",
      "domain": "epistemic_governance",
      "category": "Audit Metric",
      "formula": "\\text{Score} = 2.01 / 3.00, \\; \\text{Confidence} = 0.98, \\; \\text{Level 2 Classical Floor}",
      "description": "Audited confirmation that classical computational floors are strictly disclosed and emulator runs are clearly identified.",
      "x": 860,
      "y": 640
    },
    {
      "id": "node_gov_bounding",
      "name": "Metaphor Bounding (99% Safe)",
      "domain": "epistemic_governance",
      "category": "Audit Metric",
      "formula": "P(\\text{strictly\\_bounded\\_safe}) = 0.99, \\; \\text{Confidence} = 0.98",
      "description": "Validates that zero macroscopic biological quantum coherence is claimed for dancers and analogies are responsibly bounded.",
      "x": 880,
      "y": 720
    },
    {
      "id": "node_gov_non_triviality",
      "name": "Mathematical Non-Triviality (81%)",
      "domain": "epistemic_governance",
      "category": "Audit Metric",
      "formula": "P(\\text{fully\\_resolved\\_and\\_rigorous}) = 0.81, \\; \\text{Confidence} = 0.72",
      "description": "Confirms that Frobenius monoidal category with verified interchange and cups/caps overcomes trivial quiver critiques.",
      "x": 780,
      "y": 760
    },
    {
      "id": "node_gate_physical_ai",
      "name": "Audit Gate G_PhysicalAI",
      "domain": "epistemic_governance",
      "category": "Epistemic Gate",
      "formula": "S_{\\text{sync}} \\ge 0.85 \\land \\|\\mathbf{p}_{\\text{ZMP}}\\| \\le 8.0\\text{ cm} \\land d_{\\min} \\ge 0.80\\text{ m}",
      "description": "Deterministic epistemic gate validating Amass neuromuscular synchrony (0.884), Paperclip vitality affects, humanoid whole-body MPC stability (4.2 cm ZMP), and 0-collision session safety (1.28 m).",
      "x": 700,
      "y": 720
    },
    {
      "id": "node_gate_rhyme_symbolic",
      "name": "Audit Gate G_Rhyme",
      "domain": "epistemic_governance",
      "category": "Epistemic Gate",
      "formula": "F_{\\text{extinct}} = 1.0000 \\land F_{\\text{Bell}} = 1.0000 \\land p_{\\text{unif}} \\ge 0.05",
      "description": "Deterministic epistemic gate verifying Rhyme symbolic execution: 100% destructive polyrhythmic interference extinction, 100% session dyad Bell fidelity, and uniform phase generation.",
      "x": 700,
      "y": 660
    },
    {
      "id": "node_pedagogy_qiscit",
      "name": "QISCIT Concept Inventory",
      "domain": "empirical_pedagogy",
      "category": "Validated Assessment",
      "formula": "\\text{Durkin, Lin, Kolodrubetz, McMahan, } Am. J. Phys. \\; 94(8):614\\text{--}620, 2026",
      "description": "Validated 31-item non-calculus Quantum Information Science Concept Introductory Test for conceptual learning gains.",
      "x": 260,
      "y": 760
    },
    {
      "id": "node_pedagogy_subset",
      "name": "12-Item Targeted QISCIT Subset",
      "domain": "empirical_pedagogy",
      "category": "Assessment Protocol",
      "formula": "g = \\frac{\\text{post} - \\text{pre}}{100 - \\text{pre}}, \\; \\text{Administered Outside Studio Clock}",
      "description": "Targeted sub-test isolating superposition, collapse, entanglement, and phase interference while preventing physical fatigue.",
      "x": 180,
      "y": 780
    },
    {
      "id": "node_pedagogy_rct",
      "name": "2-Arm Randomized Controlled Baseline",
      "domain": "empirical_pedagogy",
      "category": "Experimental Design",
      "formula": "N = 60 \\; (N=30 \\text{ Quantum Krump vs. } N=30 \\text{ Lecture}, \\; 80\\% \\text{ power for } d \\ge 0.74)",
      "description": "Pre-registered Phase 2 human-subject educational study (N=0 student participants completed to date) evaluating normalized conceptual learning gains and delayed retention after Phase 1 multilingual psychometric calibration.",
      "x": 120,
      "y": 720
    },
    {
      "id": "node_pedagogy_calibration_pilot",
      "name": "Phase 1 Multilingual CTT Calibration Pilot",
      "domain": "empirical_pedagogy",
      "category": "Psychometric Calibration",
      "formula": "N_{\\text{cal}} \\ge 150 \\; (50 \\times \\{\\text{EN, HI, TA}\\}), \\; r_{\\text{pb}} \\ge 0.20, \\; p_i \\in [0.25, 0.85]",
      "description": "Independent Classical Test Theory calibration sample across English, Hindi, and Tamil translations establishing item difficulty, point-biserial discrimination, and differential item functioning bounds prior to Phase 2 RCT enrollment.",
      "x": 160,
      "y": 830
    },
    {
      "id": "node_three_paper_suite",
      "name": "Multilingual Monograph & Focused Companion Suite (10 Languages)",
      "domain": "empirical_pedagogy",
      "category": "Open-Access Publications",
      "formula": "\\text{Monograph (58 pp. } \\times 10 \\text{ langs)} \\oplus \\text{Pedagogy (15 pp.)} \\oplus \\text{KrumpRobot (15 pp.)} \\oplus \\text{Cat. Choreo. (8 pp.)}",
      "description": "Open-access publication architecture comprising the 58-page Master Reference Monograph natively typeset across EN, FR, DE, NL, FIL, JA, KO, ZH, HI, and TA, paired with the 15-page Embodied Pedagogy Companion, 15-page Standalone KrumpRobot Physical AI Preprint, and 8-page Categorical Choreography Journal Preprint.",
      "x": 250,
      "y": 840
    },
    {
      "id": "node_evaluator_circuit_synthesis",
      "name": "Evaluator-Guided Quantum Circuit Synthesis",
      "domain": "quantum_information",
      "category": "Algorithmic Discovery",
      "formula": "\\text{Cost}_{TQ} = T \\times Q",
      "description": "Evolutionary framework (Gu et al., arXiv:2610.22367) pairing LLM circuit proposals with independent deterministic evaluators for reversible uncomputation, decoding computational history, conditional swap routing, and TQ-cost optimization.",
      "x": 660,
      "y": 280
    },
    {
      "id": "node_swarm_krump_world",
      "name": "SwarmKrumpWorld Stigmergic Evolution",
      "domain": "stage_optimization",
      "category": "Stigmergic Multi-Agent Architecture",
      "formula": "\\mathcal{W}(t) = \\langle \\mathbf{E}, \\mathbf{S}, \\mathbf{A}, \\mathbf{\\Phi} \\rangle",
      "description": "Stigmergic multi-agent evolution across 5 Krump phenotypes (Brawler, Flash, Big Homie, Flow, Hype) inspired by Pal et al. (arXiv:2608.26081) on Modal Cloud, compiling to OpenJij QUBO, Helios-1E-Lite emulator, Haiqu state compression, and Rhyme rhythmic interference.",
      "x": 580,
      "y": 440
    },
    {
      "id": "node_qkmlm",
      "name": "Quantum Krump Machine Learning Model (QKMLM)",
      "domain": "quantum_information",
      "category": "Hybrid Quantum-Classical Architecture",
      "formula": "\\hat{\\mathbf{y}} = \\text{MLP}_{\\text{GELU}}(\\langle \\mathbf{Z} \\rangle), \\; 1{,}175 \\text{ params } (96.9\\% \\text{ classical})",
      "description": "4-qubit variational quantum classifier (VQC) trained on Modal Cloud (1,175 params: 36 quantum angles + 1,139 classical affine/MLP weights; 98.60% foundation accuracy, zero claimed quantum speedup over classical MLPs) with DisCoPy cross-swaps and Guppylang HUGR compilation. Hosted on Hugging Face Model Hub and interactive Space (socialprescribing/quantumkrump).",
      "x": 640,
      "y": 360
    },
    {
      "id": "node_qkmlm_classical_ablation",
      "name": "Lane K308 Classical Bottleneck Ablations",
      "domain": "epistemic_governance",
      "category": "Classical Floor & Ablation",
      "formula": "\\text{Identity Bypass: } 99.60\\% / 90.40\\% \\; (0.03\\text{ ms}); \\; \\text{Matched MLP: } 99.80\\% \\; (0.04\\text{ ms})",
      "description": "Six-model ablation benchmark (deep_review_ablation_receipt_20261111.json) comparing hybrid QKMLM against VQC-removed identity bypass, parameter-matched 1,175-weight rank-2 MLP, direct MLP, GBDT, and linear baselines, proving zero quantum accuracy or latency advantage on 8-D movement telemetry.",
      "x": 820,
      "y": 590
    },
    {
      "id": "node_gate_qkmlm",
      "name": "Audit Gate G_QKMLM",
      "domain": "epistemic_governance",
      "category": "Epistemic Gate",
      "formula": "\\text{Acc}_{\\text{foundation}} \\ge 0.90 \\land \\text{Acc}_{\\text{phenotype}} \\ge 0.85 \\land \\tau_{\\text{p50}} \\le 5.0\\text{ ms}",
      "description": "Deterministic epistemic gate validating QKMLM multi-task classification accuracy, sub-5ms serverless inference latency, classical ablation disclosure, and strict bounding against biological quantum brain claims.",
      "x": 700,
      "y": 600
    },
    {
      "id": "node_modal_scale",
      "name": "Quantum Krump Scientist Modal Scalability",
      "domain": "quantum_information",
      "category": "Multi-Qubit Cloud Benchmark",
      "formula": "\\mathrm{Var}[\\partial_\\theta \\langle Z_0 \\rangle] \\ge 0.005 \\; (0.23\\times \\text{ at } n=4 \\to 5.89\\times \\text{ at } n=10)",
      "description": "Multi-qubit scalability benchmark on Modal Cloud across n in {4, 6, 8, 10} qubits (1,024-dim Hilbert space) measuring shallow local-Z0 gradient variance retention (5.89x over Haar at n=10 per Cerezo et al. 2021), bipartite entanglement entropy, Heisenberg QFI metrology scaling, Haiqu compression (>82%), and 10-qubit dynamic mid-circuit branching on Quantinuum Guppy Playpond.",
      "x": 680,
      "y": 420
    },
    {
      "id": "node_cerezo_local_lightcone",
      "name": "Shallow Local-Observable Light-Cone Bound (Cerezo et al. 2021)",
      "domain": "quantum_information",
      "category": "Trainability Theory",
      "formula": "L = \\mathcal{O}(\\log n), \\; O = Z_0 \\implies \\mathrm{Var}[\\partial_\\theta \\mathcal{L}] \\in \\Omega\\!\\left(\\frac{1}{\\mathrm{poly}(n)}\\right)",
      "description": "Theoretical attribution (Cerezo et al., Nature Communications 12:1791, 2021) showing that constant-order gradient variance in the 3-layer DisCoPy ansatz arises from measuring a single-qubit local Pauli observable Z_0 with a bounded reverse light cone rather than global cost evaluation.",
      "x": 740,
      "y": 380
    },
    {
      "id": "node_gate_modal_scale",
      "name": "Audit Gate G_ModalScale",
      "domain": "epistemic_governance",
      "category": "Epistemic Gate",
      "formula": "G_{\\text{ModalScale}} = 1 \\iff \\mathrm{Var}_{\\text{Frob}} > 5 \\times \\mathrm{Var}_{\\text{Haar}} \\land F_{\\alpha} \\ge 96.5\\%",
      "description": "Deterministic epistemic gate confirming multi-qubit Barren Plateau mitigation, entanglement entropy scaling, and 10-qubit dynamic mid-circuit branching with zero biological quantum coherence claims.",
      "x": 740,
      "y": 640
    },
    {
      "id": "node_persona_scientist",
      "name": "World Class Quantum Krump Scientist Persona",
      "domain": "epistemic_governance",
      "category": "Scientific Persona",
      "formula": "\\text{Persona}: \\; \\mathbf{C}_{\\text{Krump}} \\to \\mathbf{FHilb} \\; \\land \\; \\text{Zero Coherence Hallucinations}",
      "description": "Exemplary researcher persona uniting raw South Central LA Krump session kinesiology, Oxford categorical quantum mechanics (DisCoPy), Quantinuum trapped-ion HUGR compilation, Modal Cloud multi-qubit scalability, and OpenClaw skill distribution on ClawHub with zero biological coherence pseudo-science.",
      "x": 720,
      "y": 680
    },
    {
      "id": "node_openclaw_skill",
      "name": "OpenClaw Master Skill (quantumkrump)",
      "domain": "epistemic_governance",
      "category": "Agentic Tooling & Skill Registry",
      "formula": "\\text{Skill}(\\mathbf{C}_{\\text{Krump}}) \\xrightarrow{\\text{ClawHub}} \\text{OpenClaw} \\times \\text{AgentOS}",
      "description": "Production OpenClaw master skill registered on ClawHub (clawhub install quantumkrump) equipping autonomous agents with Laban-Krump-Bloch mappings, DisCoPy categorical compilation, Quantinuum Guppy dynamic circuits, and physical AI robotics execution.",
      "x": 740,
      "y": 720
    },
    {
      "id": "node_guppy_playpond",
      "name": "Quantinuum Guppy Playpond",
      "domain": "quantum_hardware",
      "category": "Zero-Install WebAssembly Hardware Simulator",
      "formula": "\\mathcal{H}_{10} \\cong \\mathbb{C}^{1024}, \\; \\text{QuEST}(\\text{Pyodide WASM})",
      "description": "In-browser zero-install interactive quantum compilation environment (play.guppylang.org) executing Quantinuum Guppylang 1.0 code, mid-circuit dynamic branching, and QuEST statevector simulation up to 10 qubits with feedforward measurements.",
      "x": 580,
      "y": 520
    },
    {
      "id": "node_10q_dynamic_session",
      "name": "10-Qubit Dynamic Session Playpond Engine",
      "domain": "quantum_information",
      "category": "Dynamic Quantum Circuit Architecture",
      "formula": "|m_i\\rangle \\to \\mathcal{U}_{\\text{cond}}(m_i) |\\psi\\rangle, \\; \\dim(\\mathcal{H}) = 1024",
      "description": "10-qubit dynamic circuit architecture simulating 10 session dancers with mid-circuit measurement on dancer 0 triggering conditional Phase-flip or Stomp reset on dancer 1, saturating Standard Quantum Limit metrology.",
      "x": 620,
      "y": 460
    },
    {
      "id": "node_modal_scientist_benchmark",
      "name": "Modal Multi-Scale Quantum Scientist Benchmark",
      "domain": "quantum_information",
      "category": "Empirical Scaling Benchmark",
      "formula": "\\mathrm{Var}_{\\text{Frob}} > 5 \\times \\mathrm{Var}_{\\text{Haar}} \\; (n=10, \\, \\dim \\mathcal{H} = 1024)",
      "description": "Empirical multi-scale benchmark executed across 4, 6, 8, and 10 qubits on Modal Cloud containerized tensor axis engines, verifying 5.89x barren plateau trainability preservation and sealed audit receipt G_ModalScale.",
      "x": 660,
      "y": 440
    },
    {
      "id": "node_hf_space_hub",
      "name": "Hugging Face Space & Model Hub (socialprescribing/quantumkrump)",
      "domain": "epistemic_governance",
      "category": "Open Science Hub & Interactive Visualizer",
      "formula": "\\text{HF}_{\\text{Space}}(\\text{socialprescribing/quantumkrump}) \\cup \\text{HF}_{\\text{ModelHub}}(\\text{KrumpRobot})",
      "description": "Interactive Hugging Face static WebGL Spaces and Model Hub repositories (socialprescribing/quantumkrump and socialprescribing/KrumpRobot) hosting QKMLM checkpoints, KrumpRobot weights, MuJoCo 4.0.1 Unitree G1 receipts, 8/15/58-page preprints, and sealed ablation receipts.",
      "x": 760,
      "y": 540
    },
    {
      "id": "node_gate_mujoco_closed_loop",
      "name": "Audit Gate G_MuJoCo_ClosedLoop",
      "domain": "epistemic_governance",
      "category": "Epistemic Gate",
      "formula": "\\text{Surv}_{\\text{5-prim}} = 100\\% \\land t_{\\text{endure}} = 60.0\\text{ s} \\land \\text{Collisions}_{2\\times\\text{G1}} = 0",
      "description": "Deterministic closed-loop floating-base MuJoCo 4.0.1 contact-dynamics audit gate (krumprobot_mujoco_closed_loop_receipt_20261112.json) verifying 1,000 Hz unpinned Unitree G1 balance across all 5 Krump primitives, 60.0s endurance, 10.0s neural rollout tracking, and 2-humanoid zero-collision execution.",
      "x": 720,
      "y": 770
    },
    {
      "id": "node_research_portal",
      "name": "Interactive Research Portal (arunnadarasa.github.io/quantumkrump)",
      "domain": "epistemic_governance",
      "category": "Open Science Web Portal",
      "formula": "\\text{PDF.js Reader} \\oplus \\text{3D Bloch} \\oplus \\text{DisCoPy SVG} \\oplus \\text{ECharts KG}",
      "description": "Public open-access academic portal hosting inline PDF.js previews for all 12 preprints (10 languages + 2 companions), interactive 3D Bloch Kinesphere, 5-layer DisCoPy Frobenius stepper, 1:38 KrumpRobot media studio, Apache ECharts scaling & Knowledge Graph explorer, and JSON receipts.",
      "x": 840,
      "y": 540
    },
    {
      "id": "node_antigravity_gemini_workflow",
      "name": "Google Antigravity & Gemini 4 Argon Scientific Acceleration",
      "domain": "epistemic_governance",
      "category": "Scientific Workflow Infrastructure",
      "formula": "\\text{Agentic Verification} \\times \\text{XeLaTeX/Tectonic} \\times \\text{Live Citation Audit}",
      "description": "Complimentary scientific workflow acceleration via Google Antigravity and Gemini 4 Argon supporting reproducible ablation benchmarking, live DOI/arXiv bibliography verification, multilingual typesetting, and open-science artifact synchronization.",
      "x": 860,
      "y": 790
    }
  ],
  "edges": [
    {
      "id": "e_stomp_weight",
      "source": "node_krump_stomp",
      "target": "node_laban_weight",
      "relation": "EMBODIES_EFFORT",
      "label": "Strong Weight"
    },
    {
      "id": "e_stomp_hadamard",
      "source": "node_krump_stomp",
      "target": "node_superposition",
      "relation": "COMPILES_TO",
      "label": "Hadamard H Kick"
    },
    {
      "id": "e_stomp_measure",
      "source": "node_krump_stomp",
      "target": "node_measurement",
      "relation": "COLLAPSES_TO",
      "label": "Percussive Collapse"
    },
    {
      "id": "e_jab_space",
      "source": "node_krump_jab",
      "target": "node_laban_space",
      "relation": "EMBODIES_EFFORT",
      "label": "Direct Space"
    },
    {
      "id": "e_jab_x",
      "source": "node_krump_jab",
      "target": "node_qubit",
      "relation": "COMPILES_TO",
      "label": "Pauli X Bit-Flip"
    },
    {
      "id": "e_chest_pop_time",
      "source": "node_krump_chest_pop",
      "target": "node_laban_time",
      "relation": "EMBODIES_EFFORT",
      "label": "Sudden Time"
    },
    {
      "id": "e_chest_pop_z",
      "source": "node_krump_chest_pop",
      "target": "node_interference",
      "relation": "COMPILES_TO",
      "label": "Pauli Z Phase Flip"
    },
    {
      "id": "e_arm_swing_flow",
      "source": "node_krump_arm_swing",
      "target": "node_laban_flow",
      "relation": "EMBODIES_EFFORT",
      "label": "Free Flow"
    },
    {
      "id": "e_arm_swing_rx",
      "source": "node_krump_arm_swing",
      "target": "node_bloch_sphere",
      "relation": "COMPILES_TO",
      "label": "Rx(pi/2) Rotation"
    },
    {
      "id": "e_levels_bloch",
      "source": "node_krump_levels",
      "target": "node_bloch_sphere",
      "relation": "MAPS_TO",
      "label": "Z-Axis Levels"
    },
    {
      "id": "e_wring_subsystems",
      "source": "node_laban_wring",
      "target": "node_entanglement",
      "relation": "BRIDGES_TO",
      "label": "Internal Degrees"
    },
    {
      "id": "e_cat_krump_disco",
      "source": "node_cat_c_krump",
      "target": "node_cat_functor_disco",
      "relation": "COMPILED_BY",
      "label": "Functor Image"
    },
    {
      "id": "e_disco_qubit",
      "source": "node_cat_functor_disco",
      "target": "node_qubit",
      "relation": "MAPS_OBJECT",
      "label": "Dancer -> Qubit"
    },
    {
      "id": "e_cat_interchange_duet",
      "source": "node_cat_interchange",
      "target": "node_entanglement",
      "relation": "VERIFIES",
      "label": "Bifunctorial Parallelism"
    },
    {
      "id": "e_cat_snake_entanglement",
      "source": "node_cat_snake_equation",
      "target": "node_entanglement",
      "relation": "SIMPLIFIES",
      "label": "Yanking Axiom"
    },
    {
      "id": "e_cat_spiders_hype",
      "source": "node_cat_spiders",
      "target": "node_krump_hype",
      "relation": "FORMALIZES",
      "label": "Hype Fusion / Split"
    },
    {
      "id": "e_disco_helios",
      "source": "node_cat_functor_disco",
      "target": "node_hw_helios",
      "relation": "EXECUTES_ON",
      "label": "Lane K301 (2048 Shots)"
    },
    {
      "id": "e_guppy_helios",
      "source": "node_hw_guppy_hugr",
      "target": "node_hw_helios",
      "relation": "COMPILES_FOR",
      "label": "HUGR Graph"
    },
    {
      "id": "e_helios_duet",
      "source": "node_hw_helios",
      "target": "node_entanglement",
      "relation": "BENCHMARKS",
      "label": "99.41% Fidelity (|01>)"
    },
    {
      "id": "e_helios_native",
      "source": "node_hw_helios",
      "target": "node_hw_native_gates",
      "relation": "REBASES_TO",
      "label": "PhasedX/Rz/ZZPhase"
    },
    {
      "id": "e_helios_cpu_floor",
      "source": "node_hw_helios",
      "target": "node_hw_cpu_floor",
      "relation": "FLOORED_BY",
      "label": "3310x Classical Speedup"
    },
    {
      "id": "e_stage_dijkstra_grid",
      "source": "node_stage_dijkstra",
      "target": "node_stage_grid",
      "relation": "ROUTES_OVER",
      "label": "Potential Field"
    },
    {
      "id": "e_stage_qubo_grid",
      "source": "node_stage_qubo",
      "target": "node_stage_grid",
      "relation": "SCHEDULES",
      "label": "240 Binary Vars"
    },
    {
      "id": "e_stage_qubo_swap",
      "source": "node_stage_qubo",
      "target": "node_stage_edge_swap",
      "relation": "ENFORCES",
      "label": "Zero Swap Collisions"
    },
    {
      "id": "e_stage_haiqu_quops",
      "source": "node_stage_haiqu",
      "target": "node_stage_quops",
      "relation": "BENCHMARKED_BY",
      "label": "Q=256 Capability"
    },
    {
      "id": "e_stage_hqs_lattice",
      "source": "node_stage_hqs",
      "target": "node_entanglement",
      "relation": "SIMULATES",
      "label": "Anisotropic Coupling"
    },
    {
      "id": "e_bio_esm3_krump",
      "source": "node_bio_esm3",
      "target": "node_krump_stomp",
      "relation": "GROUNDS_KINETICS",
      "label": "Fast-Twitch Motor Units"
    },
    {
      "id": "e_bio_kuramoto_interference",
      "source": "node_bio_kuramoto",
      "target": "node_interference",
      "relation": "MODELS_PHASE",
      "label": "Collective Phase R=0.9999"
    },
    {
      "id": "e_bio_ensembles_kuramoto",
      "source": "node_bio_sub_ensembles",
      "target": "node_bio_kuramoto",
      "relation": "BREAKS_U1",
      "label": "Opposing 10-Dancer Subsets"
    },
    {
      "id": "e_bio_chrna1_stomp",
      "source": "node_bio_chrna1",
      "target": "node_krump_stomp",
      "relation": "GROUNDS_SYNAPSE",
      "label": "1.42 ms Synaptic Latency"
    },
    {
      "id": "e_bio_bridge_dagger",
      "source": "node_bio_bridge_rna",
      "target": "node_cat_c_krump",
      "relation": "CONFIRMS_ISOMORPHISM",
      "label": "Dagger Anti-Homomorphism"
    },
    {
      "id": "e_theatre_dakota_11th",
      "source": "node_theatre_dakota",
      "target": "node_theatre_11th_dim",
      "relation": "CHOREOGRAPHS",
      "label": "Co-Author & Director"
    },
    {
      "id": "e_theatre_dv_11th",
      "source": "node_theatre_dv_narrative",
      "target": "node_theatre_11th_dim",
      "relation": "DRAMATIZES",
      "label": "Narrative Engine"
    },
    {
      "id": "e_theatre_acts_11th",
      "source": "node_theatre_acts",
      "target": "node_theatre_11th_dim",
      "relation": "STRUCTURES",
      "label": "4 Progressive Acts"
    },
    {
      "id": "e_theatre_dv_qubit",
      "source": "node_theatre_dv_narrative",
      "target": "node_qubit",
      "relation": "TRANSCENDS_LANGUAGE",
      "label": "Binary vs. Continuous"
    },
    {
      "id": "e_theatre_dv_entanglement",
      "source": "node_theatre_dv_narrative",
      "target": "node_entanglement",
      "relation": "TRANSCENDS_LANGUAGE",
      "label": "Coercive Control -> Solidarity"
    },
    {
      "id": "e_theatre_threejs_11th",
      "source": "node_theatre_threejs",
      "target": "node_theatre_11th_dim",
      "relation": "PROJECTS",
      "label": "3D WebGL Scrim"
    },
    {
      "id": "e_theatre_animejs_11th",
      "source": "node_theatre_animejs",
      "target": "node_theatre_11th_dim",
      "relation": "SYNCS_CUES",
      "label": "Lighting & Trajectories"
    },
    {
      "id": "e_theatre_elevenlabs_11th",
      "source": "node_theatre_elevenlabs",
      "target": "node_theatre_11th_dim",
      "relation": "VOICES",
      "label": "Polyglot Lyrics"
    },
    {
      "id": "e_theatre_moth_11th",
      "source": "node_theatre_moth",
      "target": "node_theatre_11th_dim",
      "relation": "SONIFIES",
      "label": "Quantum Soundscapes"
    },
    {
      "id": "e_gov_jev_c_krump",
      "source": "node_gov_typesafe_jev",
      "target": "node_cat_c_krump",
      "relation": "AUDITED_NON_TRIVIALITY",
      "label": "81% Fully Resolved"
    },
    {
      "id": "e_gov_jev_rigor",
      "source": "node_gov_typesafe_jev",
      "target": "node_gov_rigor",
      "relation": "VERIFIES_SCORE",
      "label": "2.01 / 3.00"
    },
    {
      "id": "e_gov_jev_bounding",
      "source": "node_gov_typesafe_jev",
      "target": "node_gov_bounding",
      "relation": "CONFIRMS_BOUNDS",
      "label": "99% Strictly Bounded"
    },
    {
      "id": "e_gov_jev_cpu_floor",
      "source": "node_gov_typesafe_jev",
      "target": "node_hw_cpu_floor",
      "relation": "DEMARCATES_FLOOR",
      "label": "Resolved Floor Check"
    },
    {
      "id": "e_pedagogy_qiscit_subset",
      "source": "node_pedagogy_qiscit",
      "target": "node_pedagogy_subset",
      "relation": "ADAPTS_ITEMS",
      "label": "12 Core Questions"
    },
    {
      "id": "e_pedagogy_subset_rct",
      "source": "node_pedagogy_subset",
      "target": "node_pedagogy_rct",
      "relation": "EVALUATES_IN",
      "label": "Pre/Post Assessment"
    },
    {
      "id": "e_pedagogy_qiscit_qubit",
      "source": "node_pedagogy_qiscit",
      "target": "node_qubit",
      "relation": "ASSESSES_CONSTRUCT",
      "label": "Superposition & Collapse"
    },
    {
      "id": "e_pedagogy_qiscit_entanglement",
      "source": "node_pedagogy_qiscit",
      "target": "node_entanglement",
      "relation": "ASSESSES_CONSTRUCT",
      "label": "Non-Locality & Bell Basis"
    },
    {
      "id": "e_pedagogy_qiscit_interference",
      "source": "node_pedagogy_qiscit",
      "target": "node_interference",
      "relation": "ASSESSES_CONSTRUCT",
      "label": "Phase Sensitivity"
    },
    {
      "id": "e_theatre_grid",
      "source": "node_theatre_11th_dim",
      "target": "node_stage_grid",
      "relation": "USES_SPATIAL_GRID",
      "label": "5x4 Staging Area"
    },
    {
      "id": "e_theatre_stomp",
      "source": "node_theatre_11th_dim",
      "target": "node_krump_stomp",
      "relation": "CHOREOGRAPHS",
      "label": "Percussive Ground Strike"
    },
    {
      "id": "e_theatre_chest_pop",
      "source": "node_theatre_11th_dim",
      "target": "node_krump_chest_pop",
      "relation": "CHOREOGRAPHS",
      "label": "Thoracic Phase Hit"
    },
    {
      "id": "e_theatre_kill_off",
      "source": "node_theatre_11th_dim",
      "target": "node_krump_kill_off",
      "relation": "CHOREOGRAPHS",
      "label": "Climax Freeze"
    },
    {
      "id": "e_theatre_qubo",
      "source": "node_stage_qubo",
      "target": "node_theatre_11th_dim",
      "relation": "SCHEDULES_TRAJECTORY",
      "label": "Collision-Free Blocking"
    },
    {
      "id": "e_theatre_interference",
      "source": "node_theatre_11th_dim",
      "target": "node_interference",
      "relation": "MANIFESTS",
      "label": "Collective Phase Interference"
    },
    {
      "id": "e_disco_stomp",
      "source": "node_cat_functor_disco",
      "target": "node_krump_stomp",
      "relation": "COMPILES_BOX",
      "label": "STOMP -> H"
    },
    {
      "id": "e_disco_jab",
      "source": "node_cat_functor_disco",
      "target": "node_krump_jab",
      "relation": "COMPILES_BOX",
      "label": "JAB -> X"
    },
    {
      "id": "e_disco_chest_pop",
      "source": "node_cat_functor_disco",
      "target": "node_krump_chest_pop",
      "relation": "COMPILES_BOX",
      "label": "CHEST POP -> Z"
    },
    {
      "id": "e_disco_arm_swing",
      "source": "node_cat_functor_disco",
      "target": "node_krump_arm_swing",
      "relation": "COMPILES_BOX",
      "label": "ARM SWING -> Rx(pi/2)"
    },
    {
      "id": "e_disco_buck_hop",
      "source": "node_cat_functor_disco",
      "target": "node_krump_buck_hop",
      "relation": "COMPILES_BOX",
      "label": "BUCK HOP -> Rz(pi/2)"
    },
    {
      "id": "e_bloch_superposition",
      "source": "node_bloch_sphere",
      "target": "node_superposition",
      "relation": "VISUALIZES",
      "label": "Equatorial States"
    },
    {
      "id": "e_bloch_qubit",
      "source": "node_bloch_sphere",
      "target": "node_qubit",
      "relation": "GEOMETRIC_SPACE_FOR",
      "label": "C^2 Statevector"
    },
    {
      "id": "e_bloch_measurement",
      "source": "node_bloch_sphere",
      "target": "node_measurement",
      "relation": "POLES_COLLAPSE",
      "label": "Z+ / Z- Poles"
    },
    {
      "id": "e_gov_bounding_superposition",
      "source": "node_gov_bounding",
      "target": "node_superposition",
      "relation": "BOUNDS_ANALOGY",
      "label": "No Macroscopic Coherence"
    },
    {
      "id": "e_gov_bounding_entanglement",
      "source": "node_gov_bounding",
      "target": "node_entanglement",
      "relation": "BOUNDS_ANALOGY",
      "label": "Relational Gesture Model"
    },
    {
      "id": "e_bio_kuramoto_theatre",
      "source": "node_bio_kuramoto",
      "target": "node_theatre_acts",
      "relation": "PREDICTS_DYNAMICS",
      "label": "Act IV Synchronization"
    },
    {
      "id": "e_stage_dijkstra_qubo",
      "source": "node_stage_dijkstra",
      "target": "node_stage_qubo",
      "relation": "INITIALIZES_SEEDS",
      "label": "Shortest-Path Seed"
    },
    {
      "id": "e_hw_helios_guppy",
      "source": "node_hw_helios",
      "target": "node_hw_guppy_hugr",
      "relation": "INGESTS_PACKAGE",
      "label": "HUGR Control Flow"
    },
    {
      "id": "e_rhyme_rhythm",
      "source": "node_rhyme_symbolic",
      "target": "node_quantum_rhythm_phase",
      "relation": "EXECUTES_RHYTHM",
      "label": "Symbolic Phase Modulation"
    },
    {
      "id": "e_rhyme_interference",
      "source": "node_rhyme_symbolic",
      "target": "node_interference",
      "relation": "VALIDATES_INTERFERENCE",
      "label": "100% Polyrhythmic Extinction"
    },
    {
      "id": "e_rhyme_entanglement",
      "source": "node_rhyme_symbolic",
      "target": "node_entanglement",
      "relation": "PREPARES_BELL_DYAD",
      "label": "Symbolic Dyad State"
    },
    {
      "id": "e_rhythm_levels",
      "source": "node_quantum_rhythm_phase",
      "target": "node_krump_levels",
      "relation": "PHASE_ALIGNS_METRIC",
      "label": "140-150 BPM Krump Lattice"
    },
    {
      "id": "e_rhythm_laban_time",
      "source": "node_quantum_rhythm_phase",
      "target": "node_laban_time",
      "relation": "DYNAMICS_MAPS",
      "label": "Sudden vs Sustained Phase"
    },
    {
      "id": "e_amass_chrna1",
      "source": "node_amass_chrna1",
      "target": "node_bio_chrna1",
      "relation": "AUGMENTS_GROUNDING",
      "label": "GeneCore / BiomedCore API"
    },
    {
      "id": "e_paperclip_vitality_humanoid",
      "source": "node_paperclip_vitality",
      "target": "node_humanoid_mpc_robotics",
      "relation": "MODULATES_TRAJECTORY",
      "label": "Vitality Kinematics"
    },
    {
      "id": "e_humanoid_stomp",
      "source": "node_humanoid_mpc_robotics",
      "target": "node_krump_stomp",
      "relation": "EMBODIES_FOUNDATION",
      "label": "3.82x BW Ground Strike"
    },
    {
      "id": "e_humanoid_theatre",
      "source": "node_humanoid_mpc_robotics",
      "target": "node_theatre_11th_dim",
      "relation": "PERFORMS_STAGE",
      "label": "Humanoid Session Duet"
    },
    {
      "id": "e_gate_physical_ai_humanoid",
      "source": "node_gate_physical_ai",
      "target": "node_humanoid_mpc_robotics",
      "relation": "VERIFIES_SAFETY",
      "label": "ZMP & Collision Bounds"
    },
    {
      "id": "e_gate_physical_ai_amass",
      "source": "node_gate_physical_ai",
      "target": "node_amass_chrna1",
      "relation": "AUDITS_SYNCHRONY",
      "label": "S_sync >= 0.85"
    },
    {
      "id": "e_gate_rhyme_symbolic",
      "source": "node_gate_rhyme_symbolic",
      "target": "node_rhyme_symbolic",
      "relation": "AUDITS_RECEIPT",
      "label": "Extinction & Bell Proof"
    },
    {
      "id": "e_disco_to_synthesis",
      "source": "node_cat_functor_disco",
      "target": "node_evaluator_circuit_synthesis",
      "relation": "COMPILES_TO",
      "label": "Reversible Synthesis"
    },
    {
      "id": "e_synthesis_to_helios",
      "source": "node_evaluator_circuit_synthesis",
      "target": "node_hw_helios",
      "relation": "DECODES_HISTORY",
      "label": "Uncomputed Bell Readout"
    },
    {
      "id": "e_jev_to_synthesis",
      "source": "node_gov_typesafe_jev",
      "target": "node_evaluator_circuit_synthesis",
      "relation": "METHODOLOGICAL_VALIDATION",
      "label": "Evaluator-Guided Co-Design"
    },
    {
      "id": "e_swarm_to_qubo",
      "source": "node_swarm_krump_world",
      "target": "node_stage_qubo",
      "relation": "COMPILES_TO_QUBO",
      "label": "Multi-Phenotype Scheduling"
    },
    {
      "id": "e_swarm_to_helios",
      "source": "node_swarm_krump_world",
      "target": "node_hw_helios",
      "relation": "BENCHMARKS_PHENOTYPIC_BELL",
      "label": "Helios Duet Analyzer"
    },
    {
      "id": "e_swarm_to_rhyme",
      "source": "node_swarm_krump_world",
      "target": "node_rhyme_symbolic",
      "relation": "INTERFERES_RHYTHMIC_PHASE",
      "label": "Polyrhythmic Extinction"
    },
    {
      "id": "e_swarm_to_haiqu",
      "source": "node_swarm_krump_world",
      "target": "node_stage_haiqu",
      "relation": "COMPRESSES_SWARM_CIRCUIT",
      "label": "85.7% Depth Reduction"
    },
    {
      "id": "e_qkmlm_to_discopy",
      "source": "node_qkmlm",
      "target": "node_cat_c_krump",
      "relation": "EMBEDS_ANSATZ",
      "label": "DisCoPy Frobenius VQC"
    },
    {
      "id": "e_qkmlm_to_helios",
      "source": "node_qkmlm",
      "target": "node_hw_helios",
      "relation": "EXPORTS_CIRCUIT",
      "label": "OpenQASM 2.0 Compilation"
    },
    {
      "id": "e_qkmlm_to_haiqu",
      "source": "node_qkmlm",
      "target": "node_stage_haiqu",
      "relation": "COMPRESSES_VQC",
      "label": "86.05% Depth Compression"
    },
    {
      "id": "e_qkmlm_to_swarm",
      "source": "node_qkmlm",
      "target": "node_swarm_krump_world",
      "relation": "PREDICTS_PHENOTYPE",
      "label": "5-Phenotype Kinematics"
    },
    {
      "id": "e_qkmlm_to_amass",
      "source": "node_qkmlm",
      "target": "node_amass_chrna1",
      "relation": "INGESTS_SOMATICS",
      "label": "8D Kinematic Vector"
    },
    {
      "id": "e_gate_qkmlm_to_model",
      "source": "node_gate_qkmlm",
      "target": "node_qkmlm",
      "relation": "AUDITS_CLASSIFIER",
      "label": "Accuracy & Latency Verification"
    },
    {
      "id": "e_modal_scale_to_qkmlm",
      "source": "node_modal_scale",
      "target": "node_qkmlm",
      "relation": "EXTENDS_SCALE",
      "label": "4 to 10 Qubit Scaling"
    },
    {
      "id": "e_modal_scale_to_helios",
      "source": "node_modal_scale",
      "target": "node_hw_helios",
      "relation": "DYNAMIC_BRANCHING",
      "label": "10-Qubit Mid-Circuit Measurement"
    },
    {
      "id": "e_modal_scale_to_haiqu",
      "source": "node_modal_scale",
      "target": "node_stage_haiqu",
      "relation": "SCALABLE_COMPRESSION",
      "label": "87.8% 10-Qubit Reduction"
    },
    {
      "id": "e_gate_modal_scale_to_scale",
      "source": "node_gate_modal_scale",
      "target": "node_modal_scale",
      "relation": "AUDITS_MULTIQUBIT",
      "label": "Gate G_ModalScale Sealed"
    },
    {
      "id": "e_persona_modal_scale",
      "source": "node_persona_scientist",
      "target": "node_modal_scale",
      "relation": "CONDUCTS_BENCHMARK",
      "label": "Multi-Qubit Scaling Benchmark"
    },
    {
      "id": "e_persona_gate_modal",
      "source": "node_persona_scientist",
      "target": "node_gate_modal_scale",
      "relation": "AUDITED_BY",
      "label": "Epistemic Guardrails"
    },
    {
      "id": "e_persona_cat_krump",
      "source": "node_persona_scientist",
      "target": "node_cat_c_krump",
      "relation": "THEORIZES",
      "label": "Categorical Foundations"
    },
    {
      "id": "e_openclaw_persona",
      "source": "node_openclaw_skill",
      "target": "node_persona_scientist",
      "relation": "EQUIPS_PERSONA",
      "label": "World Class Scientist Persona"
    },
    {
      "id": "e_openclaw_hf_space",
      "source": "node_openclaw_skill",
      "target": "node_hf_space_hub",
      "relation": "INTEGRATES_SPACE",
      "label": "Interactive Visualizer Link"
    },
    {
      "id": "e_openclaw_guppy",
      "source": "node_openclaw_skill",
      "target": "node_hw_guppy_hugr",
      "relation": "COMPILES_GUPPY",
      "label": "Guppy 1.0 / Selene Kernels"
    },
    {
      "id": "e_openclaw_c_krump",
      "source": "node_openclaw_skill",
      "target": "node_cat_c_krump",
      "relation": "EMBODIES_CATEGORY",
      "label": "Dagger-Compact Monoidal Algebra"
    },
    {
      "id": "e_guppy_playpond_hugr",
      "source": "node_guppy_playpond",
      "target": "node_hw_guppy_hugr",
      "relation": "RUNS_IN_BROWSER",
      "label": "Pyodide WASM Engine"
    },
    {
      "id": "e_guppy_playpond_10q",
      "source": "node_guppy_playpond",
      "target": "node_10q_dynamic_session",
      "relation": "EXECUTES_SESSION",
      "label": "10-Qubit Dynamic QuEST Simulation"
    },
    {
      "id": "e_guppy_playpond_hf",
      "source": "node_guppy_playpond",
      "target": "node_hf_space_hub",
      "relation": "EMBEDDED_IN",
      "label": "Gradio Interactive Tab"
    },
    {
      "id": "e_10q_session_modal",
      "source": "node_10q_dynamic_session",
      "target": "node_modal_scale",
      "relation": "SCALES_UP_TO",
      "label": "1,024-Dim Hilbert Space"
    },
    {
      "id": "e_10q_session_levels",
      "source": "node_10q_dynamic_session",
      "target": "node_krump_levels",
      "relation": "ENCODES_10_DANCERS",
      "label": "Multi-Dancer Spatial Trajectories"
    },
    {
      "id": "e_10q_session_measure",
      "source": "node_10q_dynamic_session",
      "target": "node_measurement",
      "relation": "MID_CIRCUIT_MEASURE",
      "label": "Feedforward Dynamic Branching"
    },
    {
      "id": "e_modal_benchmark_scale",
      "source": "node_modal_scientist_benchmark",
      "target": "node_modal_scale",
      "relation": "VALIDATES_SCALING",
      "label": "Empirical Multi-Qubit Benchmarks"
    },
    {
      "id": "e_modal_benchmark_gate",
      "source": "node_modal_scientist_benchmark",
      "target": "node_gate_modal_scale",
      "relation": "AUDITED_BY",
      "label": "Audit Gate G_ModalScale"
    },
    {
      "id": "e_hf_space_qkmlm",
      "source": "node_hf_space_hub",
      "target": "node_qkmlm",
      "relation": "HOSTS_MODEL",
      "label": "4-Qubit VQC Checkpoints"
    },
    {
      "id": "e_hf_space_scientist",
      "source": "node_hf_space_hub",
      "target": "node_persona_scientist",
      "relation": "DEMONSTRATES_PERSONA",
      "label": "Multi-Scale Scientist Interface"
    },
    {
      "id": "e_unitree_humanoid",
      "source": "node_unitree_unifolm",
      "target": "node_humanoid_mpc_robotics",
      "relation": "CONTROLS_WHOLEBODY",
      "label": "UniFoLM-WMA Action Horizon"
    },
    {
      "id": "e_unitree_amass",
      "source": "node_unitree_unifolm",
      "target": "node_amass_chrna1",
      "relation": "NEUROMUSCULAR_GROUNDING",
      "label": "CHRNA1 Motor Unit Sync"
    },
    {
      "id": "e_qkmlm_unitree",
      "source": "node_qkmlm",
      "target": "node_unitree_unifolm",
      "relation": "PREDICTS_ACTION_PRIORS",
      "label": "Stern Vitality Priors"
    },
    {
      "id": "e_amass_mocap_to_kinematics",
      "source": "node_amass_mocap",
      "target": "node_physical_ai_kinematics",
      "relation": "FEEDS_MOCAP_PRIORS",
      "label": "SMPL-X Kinematic Priors"
    },
    {
      "id": "e_kinematics_to_unitree",
      "source": "node_physical_ai_kinematics",
      "target": "node_unitree_unifolm",
      "relation": "CALIBRATES_ACTION_HORIZONS",
      "label": "28-DoF Joint Limits & IK"
    },
    {
      "id": "e_kinematics_to_mpc",
      "source": "node_physical_ai_kinematics",
      "target": "node_humanoid_mpc_robotics",
      "relation": "CONSTRAINS_ZMP_DYNAMICS",
      "label": "Contact Grounding & Foot Soles"
    },
    {
      "id": "e_openclaw_to_kinematics",
      "source": "node_openclaw_skill",
      "target": "node_physical_ai_kinematics",
      "relation": "EMBODIES_3D_ROBOTICS",
      "label": "3D Humanoid IK Execution"
    },
    {
      "id": "e_motion2mixamorig_kinematics",
      "source": "node_motion2mixamorig",
      "target": "node_physical_ai_kinematics",
      "relation": "FEEDS_MOTION_INTO",
      "label": "Extracted Trajectory"
    },
    {
      "id": "e_motion2mixamorig_amass",
      "source": "node_motion2mixamorig",
      "target": "node_amass_mocap",
      "relation": "MAPS_TO_SMPLX_TOPOLOGY",
      "label": "SMPL-X Rig Topology"
    },
    {
      "id": "e_gate_physical_ai_motion2mixamorig",
      "source": "node_gate_physical_ai",
      "target": "node_motion2mixamorig",
      "relation": "AUDITS_VIDEO_MOCAP",
      "label": "Video Mocap Audit"
    },
    {
      "id": "e_krumprobot_motion2mixamorig",
      "source": "node_krumprobot",
      "target": "node_motion2mixamorig",
      "relation": "TRAINED_ON_VIDEO_MOCAP",
      "label": "Video Mocap Training"
    },
    {
      "id": "e_krumprobot_kinematics",
      "source": "node_krumprobot",
      "target": "node_physical_ai_kinematics",
      "relation": "CONTROLS_HUMANOID_JOINTS",
      "label": "Neural MPC Policy"
    },
    {
      "id": "e_gate_physical_ai_krumprobot",
      "source": "node_gate_physical_ai",
      "target": "node_krumprobot",
      "relation": "AUDITS_ROBOTIC_POLICY",
      "label": "Robot Policy Audit"
    },
    {
      "id": "e_krumprobot_choreography",
      "source": "node_krumprobot",
      "target": "node_musical_choreography_138",
      "relation": "SEQUENCES_MUSICAL_CHOREOGRAPHY",
      "label": "1:38 Musical Routine"
    },
    {
      "id": "e_choreography_motion2mixamorig",
      "source": "node_musical_choreography_138",
      "target": "node_motion2mixamorig",
      "relation": "INTERPOLATES_MOCAP_TRAJECTORY",
      "label": "60 FPS Keyframe Interpolation"
    },
    {
      "id": "e_anatomical_bloch",
      "source": "node_anatomical_bloch_frame",
      "target": "node_bloch_sphere",
      "relation": "CALIBRATES_ORIGIN",
      "label": "Pelvic Origin & Stage Frame"
    },
    {
      "id": "e_anatomical_levels",
      "source": "node_anatomical_bloch_frame",
      "target": "node_krump_levels",
      "relation": "AFFINE_MAPS_LEVELS",
      "label": "Reachable +Z LIVE / -Z BUCK"
    },
    {
      "id": "e_emotion_entanglement",
      "source": "node_emotion_wheel_4q",
      "target": "node_entanglement",
      "relation": "ENACTS_TRANSVERSAL_BELL",
      "label": "4-Qubit Affective Register"
    },
    {
      "id": "e_emotion_levels",
      "source": "node_emotion_wheel_4q",
      "target": "node_krump_levels",
      "relation": "BRANCHES_SOMATICS",
      "label": "16 Binary-Prefix States"
    },
    {
      "id": "e_rosenberg_swap",
      "source": "node_rosenberg_quadratization",
      "target": "node_stage_edge_swap",
      "relation": "QUADRATIZES_HUBO",
      "label": "Degree-4 -> Degree-2 Ancilla"
    },
    {
      "id": "e_rosenberg_qubo",
      "source": "node_rosenberg_quadratization",
      "target": "node_stage_qubo",
      "relation": "COMPILES_ISING",
      "label": "Valid Quadratic Hamiltonian"
    },
    {
      "id": "e_ablation_qkmlm",
      "source": "node_qkmlm_classical_ablation",
      "target": "node_qkmlm",
      "relation": "BENCHMARKS_CLASSICAL_FLOOR",
      "label": "Zero Quantum Speedup Claimed"
    },
    {
      "id": "e_ablation_cpu_floor",
      "source": "node_qkmlm_classical_ablation",
      "target": "node_hw_cpu_floor",
      "relation": "EXTENDS_FLOOR",
      "label": "0.03 ms Identity / MLP Baseline"
    },
    {
      "id": "e_ablation_gate_qkmlm",
      "source": "node_qkmlm_classical_ablation",
      "target": "node_gate_qkmlm",
      "relation": "CALIBRATES_GATE",
      "label": "Lane K308 Receipt"
    },
    {
      "id": "e_cerezo_modal_scale",
      "source": "node_cerezo_local_lightcone",
      "target": "node_modal_scale",
      "relation": "EXPLAINS_VARIANCE",
      "label": "Shallow Local-Z0 Light Cone"
    },
    {
      "id": "e_cerezo_discopy",
      "source": "node_cerezo_local_lightcone",
      "target": "node_cat_c_krump",
      "relation": "BOUNDS_CONNECTIVITY",
      "label": "L=3 Bounded Ansatz"
    },
    {
      "id": "e_temporal_split_krumprobot",
      "source": "node_krumprobot_temporal_split",
      "target": "node_krumprobot",
      "relation": "EVALUATES_GENERALIZATION",
      "label": "1.42 deg Train / 18.58 deg Test"
    },
    {
      "id": "e_temporal_split_ablation",
      "source": "node_qkmlm_classical_ablation",
      "target": "node_krumprobot_temporal_split",
      "relation": "SEALS_DIAGNOSTIC",
      "label": "deep_review_ablation_receipt"
    },
    {
      "id": "e_calibration_subset",
      "source": "node_pedagogy_calibration_pilot",
      "target": "node_pedagogy_subset",
      "relation": "CALIBRATES_CTT",
      "label": "EN / HI / TA Item Invariance"
    },
    {
      "id": "e_calibration_rct",
      "source": "node_pedagogy_calibration_pilot",
      "target": "node_pedagogy_rct",
      "relation": "PRECEDES_RCT",
      "label": "Phase 1 -> Phase 2 Gate"
    },
    {
      "id": "e_papers_portal",
      "source": "node_three_paper_suite",
      "target": "node_research_portal",
      "relation": "PUBLISHED_ON",
      "label": "Inline PDF.js 12-Paper Reader"
    },
    {
      "id": "e_papers_krumprobot",
      "source": "node_three_paper_suite",
      "target": "node_krumprobot",
      "relation": "DOCUMENTS_ROBOTICS",
      "label": "15-Page Standalone Preprint"
    },
    {
      "id": "e_mujoco_krumprobot",
      "source": "node_mujoco_closed_loop_g1",
      "target": "node_krumprobot",
      "relation": "EXECUTES_CLOSED_LOOP",
      "label": "0.52 deg Neural Rollout Tracking"
    },
    {
      "id": "e_mujoco_unitree",
      "source": "node_mujoco_closed_loop_g1",
      "target": "node_unitree_unifolm",
      "relation": "SIMULATES_HARDWARE",
      "label": "29-DoF Unitree G1 MJCF"
    },
    {
      "id": "e_mujoco_mpc",
      "source": "node_mujoco_closed_loop_g1",
      "target": "node_humanoid_mpc_robotics",
      "relation": "VERIFIES_CONTACT_SOLVER",
      "label": "1 kHz Floating-Base CoP & GRF"
    },
    {
      "id": "e_gate_mujoco_wbc",
      "source": "node_gate_mujoco_closed_loop",
      "target": "node_mujoco_closed_loop_g1",
      "relation": "AUDITS_CLOSED_LOOP",
      "label": "5/5 Survival & 60s Endurance"
    },
    {
      "id": "e_papers_pedagogy",
      "source": "node_three_paper_suite",
      "target": "node_pedagogy_qiscit",
      "relation": "DOCUMENTS_CURRICULUM",
      "label": "15-Page Pedagogy Companion"
    },
    {
      "id": "e_papers_dakota",
      "source": "node_theatre_dakota",
      "target": "node_three_paper_suite",
      "relation": "CO_AUTHORS",
      "label": "Monograph & Pedagogy Preprints"
    },
    {
      "id": "e_portal_hf",
      "source": "node_research_portal",
      "target": "node_hf_space_hub",
      "relation": "LINKS_CLOUD_SANDBOXES",
      "label": "QKMLM & KrumpRobot Spaces"
    },
    {
      "id": "e_portal_bloch",
      "source": "node_research_portal",
      "target": "node_bloch_sphere",
      "relation": "RENDERS_INTERACTIVE",
      "label": "3D Kinesphere Simulator"
    },
    {
      "id": "e_antigravity_papers",
      "source": "node_antigravity_gemini_workflow",
      "target": "node_three_paper_suite",
      "relation": "ACCELERATES_WORKFLOW",
      "label": "10-Language Typesetting & Audit"
    },
    {
      "id": "e_antigravity_ablation",
      "source": "node_antigravity_gemini_workflow",
      "target": "node_qkmlm_classical_ablation",
      "relation": "VERIFIES_ABLATIONS",
      "label": "Automated Reproducibility"
    }
  ]
}