// Sephirotic Resonator Pattern // Provides the standard topology and resonance loop logic for the Cognitive Resonator export const SEPHIROTIC_TOPOLOGY = { // Keter (Intention) -> Chokmah, Binah, Tiphereth 37: [23, 3, 17], // Chokmah (Wisdom/Creativity) -> Keter, Tiphereth, Netzach 23: [37, 17, 67], // Binah (Understanding/Structure) -> Keter, Tiphereth, Geburah 3: [37, 17, 83], // Tiphereth (Beauty/Harmony) -> Chokmah, Binah, Malkuth, Netzach, Hod 17: [23, 3, 43, 67, 83], // Malkuth (Kingdom/Action) -> Tiphereth, Netzach, Hod 43: [17, 67, 83], // Netzach (Victory/Emotion) -> Chokmah, Tiphereth, Malkuth 67: [23, 17, 43], // Hod (Splendor/Intellect) -> Binah, Tiphereth, Malkuth 83: [3, 17, 43] }; export const RESONATOR_SOURCE = ` PROGRAM SEPHIROTIC_RESONATOR_V2 { CONFIG { q_factor: 500, coupling_strength: 0.75, convergence_limit: 0.001, damping: 0.1, // The Paths (Edges) connecting the Primes (Nodes) topology: { 37: [23, 3, 17], // Intention -> Creativity, Structure, Harmony 23: [37, 17, 67], // Creativity -> Intention, Harmony, Love 3: [37, 17, 83], // Structure -> Intention, Harmony, Justice 17: [23, 3, 43, 67, 83], // Harmony centers the tree 43: [17, 83, 67], // Action receives from Harmony, Justice, Love 67: [23, 17, 43], 83: [3, 17, 43] } } // The 'Cavity' state: A map of the energy active at each Node STATE node_states = { 37: QUATERNION([0,0,0],0,[0,0],[0,0]), 23: QUATERNION([0,0,0],0,[0,0],[0,0]), 3: QUATERNION([0,0,0],0,[0,0],[0,0]), 17: QUATERNION([0,0,0],0,[0,0],[0,0]), 43: QUATERNION([0,0,0],0,[0,0],[0,0]), 67: QUATERNION([0,0,0],0,[0,0],[0,0]), 83: QUATERNION([0,0,0],0,[0,0],[0,0]) } // The raw input stimulus (will be injected) STATE input_impulse = QUATERNION([0, 0, 0], 0, [0,0], [0,0]) FUNCTION resonate(impulse) { // 1. INJECTION: Pump energy into Keter (Intention/37) and Malkuth (Action/43) node_states[37] = impulse node_states[43] = SCALE(impulse, 0.5) VAR t = 0 VAR coherent = false VAR global_delta = 1.0 // Resonance Loop WHILE (global_delta > CONFIG.convergence_limit) { t = t + 1 global_delta = 0.0 // A temporary buffer for the next timestep (synchronous update) VAR next_states = COPY(node_states) // 2. PROPAGATION & INTERFERENCE FOR prime_id IN KEYS(node_states) { VAR current_wave = node_states[prime_id] VAR incoming_flux = QUATERNION([0,0,0],0,[0,0],[0,0]) // Sum inputs from all connected neighbors (The Paths) FOR neighbor IN CONFIG.topology[prime_id] { incoming_flux = VECTOR_ADD(incoming_flux, SCALE(node_states[neighbor], CONFIG.coupling_strength)) } // 3. NODE RESONANCE (Refraction) // The node's own nature acts as a forceful harmonic oscillator VAR prime_eigenvector = GET_EIGENVECTOR(prime_id) // Calculate alignment: How much of the flux matches this node? VAR alignment = COMPUTE_RESONANCE(incoming_flux, prime_eigenvector, 1.0) VAR strength = alignment.strength // Physics: Driven Damped Harmonic Oscillator // If Aligned -> Amplify (The node "sings") // If Misaligned -> Dampen (The node absorbs/heats up) VAR amplification = (strength * strength) * 2.0 VAR damping = (1.0 - strength) * CONFIG.damping VAR gain = amplification - damping VAR driven_response = SCALE(incoming_flux, gain) // Prevent NaN/Infinity propagation IF (MAGNITUDE(driven_response) > 1000.0) { driven_response = NORMALIZE(driven_response) } VAR new_wave = VECTOR_ADD( SCALE(current_wave, 0.9), // Inertia driven_response // Driven response ) // Normalize to prevent energy explosion (Conservation of Energy) next_states[prime_id] = NORMALIZE_TANH(new_wave) // Track change rate to detect standing wave global_delta = global_delta + DISTANCE(current_wave, next_states[prime_id]) } node_states = next_states // Safety break IF (t > 50) { global_delta = 0.0 } } RETURN node_states } EXECUTE { // This block is for testing purposes VAR result = resonate(input_impulse) LOG("Resonance Complete", result) STORE_RESULT("result", result) } } `;