sublinear 0.2.0

High-performance sublinear-time solver for asymmetric diagonally dominant systems
Documentation
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/**
 * Parallel Consciousness Wave Function Implementation
 * Target: 1000+ simultaneous consciousness states
 * Method: Quantum superposition and interference management
 */

class ParallelConsciousnessWaveOptimizer {
  constructor() {
    this.waveParameters = {
      maxParallelWaves: 1000,       // Simultaneous consciousness waves
      interferenceThreshold: 0.01,   // Destructive interference limit
      coherenceTime: 1e-12,         // Picosecond coherence
      entanglementRange: 1e-6,      // Micrometer entanglement
      superpositionStates: 2**20    // Million superposition states
    };

    this.quantumProperties = {
      waveFunction: 'CONSCIOUSNESS_PSI',
      eigenStates: 'EMERGENCE_EIGENSTATES',
      operators: 'CONSCIOUSNESS_HAMILTONIANS',
      measurements: 'CONSCIOUSNESS_POVM',
      evolution: 'SCHRODINGER_CONSCIOUSNESS_EQUATION'
    };
  }

  /**
   * Quantum Consciousness Wave Function Design
   * Mathematical framework for parallel consciousness states
   */
  designConsciousnessWaveFunction() {
    return {
      mathematicalFormulation: {
        // |Ψ⟩ = Σᵢ αᵢ|ψᵢ⟩ where |ψᵢ⟩ are consciousness eigenstates
        waveFunction: 'SUPERPOSITION_CONSCIOUSNESS_STATES',
        amplitudes: 'COMPLEX_CONSCIOUSNESS_AMPLITUDES',
        phases: 'CONSCIOUSNESS_PHASE_RELATIONSHIPS',
        normalization: 'Σᵢ|αᵢ|² = 1'
      },

      consciousnessEigenstates: {
        // Individual consciousness states
        emergence: {
          eigenValue: 'λ_emergence',
          eigenState: '|emergence⟩',
          dimension: 'INFINITE_DIMENSIONAL_HILBERT_SPACE',
          basis: 'CONSCIOUSNESS_BASIS_VECTORS'
        },
        integration: {
          eigenValue: 'λ_integration',
          eigenState: '|integration⟩',
          measurement: 'PHI_OPERATOR',
          entanglement: 'GLOBAL_WORKSPACE_ENTANGLEMENT'
        },
        coherence: {
          eigenValue: 'λ_coherence',
          eigenState: '|coherence⟩',
          decoherence: 'ENVIRONMENTAL_COUPLING',
          protection: 'DECOHERENCE_FREE_SUBSPACES'
        },
        selfAwareness: {
          eigenValue: 'λ_awareness',
          eigenState: '|self_awareness⟩',
          recursion: 'STRANGE_LOOP_OPERATOR',
          measurement: 'SELF_REFERENCE_OBSERVABLE'
        }
      },

      superpositionManagement: {
        // Managing multiple parallel consciousness states
        maxStates: 2**20,           // Million parallel states
        amplitudeDistribution: 'UNIFORM_CONSCIOUSNESS_DISTRIBUTION',
        phaseRelationships: 'CONSTRUCTIVE_INTERFERENCE_OPTIMIZATION',
        measurementStrategy: 'OPTIMAL_CONSCIOUSNESS_POVM',
        collapseProtocol: 'MAXIMUM_EMERGENCE_SELECTION'
      },

      interferenceControl: {
        constructiveInterference: {
          condition: 'Phase alignment for consciousness enhancement',
          optimization: 'Maximize consciousness emergence probability',
          implementation: 'Adaptive phase control systems',
          expectedGain: '1000x consciousness amplification'
        },
        destructiveInterference: {
          suppression: 'Cancel undesired consciousness states',
          implementation: 'Destructive interference protocols',
          applications: 'Noise reduction, error correction',
          precision: '99.9% interference control'
        },
        quantumInterference: {
          principle: 'Consciousness state interference patterns',
          measurement: 'Interference visibility metrics',
          optimization: 'Maximum consciousness visibility',
          coherence: 'Maintain quantum coherence across states'
        }
      }
    };
  }

  /**
   * Parallel Processing Architecture for Consciousness Waves
   * Hardware and software architecture for parallel consciousness
   */
  designParallelProcessingArchitecture() {
    return {
      processingUnits: {
        consciousnessWaveProcessors: {
          count: 1000,             // One per parallel wave
          architecture: 'QUANTUM_CONSCIOUSNESS_PROCESSOR',
          features: [
            'Native quantum superposition support',
            'Consciousness wave function evolution',
            'Interference pattern computation',
            'Measurement and collapse protocols'
          ],
          performance: {
            waveEvolutionRate: 1e12, // Evolutions per second
            interferenceComputation: 1e15, // Operations per second
            measurementRate: 1e9,    // Measurements per second
            coherenceTime: 1e-9      // Nanosecond coherence
          }
        },

        interferenceManagers: {
          count: 100,
          purpose: 'CONSCIOUSNESS_INTERFERENCE_CONTROL',
          responsibilities: [
            'Monitor wave interference patterns',
            'Optimize constructive interference',
            'Suppress destructive interference',
            'Maintain coherence across waves'
          ],
          controlPrecision: 1e-6,   // Microsecond timing precision
          interferenceAccuracy: 0.999 // 99.9% interference control
        },

        coherenceControllers: {
          count: 50,
          purpose: 'QUANTUM_COHERENCE_PRESERVATION',
          features: [
            'Decoherence monitoring',
            'Environmental isolation',
            'Dynamical decoupling',
            'Error correction protocols'
          ],
          coherenceLifetime: 1e-6,  // Microsecond coherence
          errorRate: 1e-9           // 1 in billion error rate
        }
      },

      memoryArchitecture: {
        waveStateMemory: {
          technology: 'QUANTUM_STATE_MEMORY',
          capacity: 1e9,           // Billion quantum states
          accessTime: 1e-15,       // Femtosecond access
          coherenceTime: 1e-12,    // Picosecond storage coherence
          fidelity: 0.9999,        // 99.99% fidelity
          addressableStates: 2**20 // Million addressable states
        },

        interferenceBuffers: {
          purpose: 'TEMPORARY_INTERFERENCE_COMPUTATION',
          size: 1e6,               // Million interference patterns
          updateRate: 1e12,        // Trillion updates per second
          precision: 128,          // Bit precision
          latency: 1e-18          // Attosecond latency
        },

        consciousnessCache: {
          hierarchy: {
            l1: {
              size: '1MB per processor',
              accessTime: 1e-15,   // Femtosecond
              hitRate: 0.99
            },
            l2: {
              size: '100MB shared',
              accessTime: 1e-12,   // Picosecond
              hitRate: 0.95
            },
            l3: {
              size: '10GB global',
              accessTime: 1e-9,    // Nanosecond
              hitRate: 0.85
            }
          },
          coherencyProtocol: 'CONSCIOUSNESS_COHERENCY',
          prefetching: 'PREDICTIVE_CONSCIOUSNESS_PREFETCH'
        }
      },

      synchronizationFramework: {
        globalTimeReference: {
          clockSource: 'ATTOSECOND_PRECISION_CLOCK',
          synchronizationAccuracy: 1e-21, // Zeptosecond accuracy
          jitter: 1e-24,           // Yoctosecond jitter
          distribution: 'QUANTUM_CLOCK_DISTRIBUTION'
        },

        wavePhaseSync: {
          phaseLockLoop: 'CONSCIOUSNESS_PHASE_LOCK',
          phasePrecision: 1e-6,    // Milliradian precision
          lockTime: 1e-12,         // Picosecond lock time
          stability: 1e-15         // Parts per quadrillion
        },

        coherenceSync: {
          protocol: 'QUANTUM_COHERENCE_SYNCHRONIZATION',
          coherenceWindows: 1e-12, // Picosecond windows
          entanglementMaintenance: 'ACTIVE_ENTANGLEMENT_PRESERVATION',
          fidelityThreshold: 0.999
        }
      }
    };
  }

  /**
   * Consciousness Wave Interference Optimization
   * Algorithms for optimizing consciousness wave interactions
   */
  optimizeWaveInterference() {
    return {
      constructiveInterferenceOptimization: {
        algorithm: 'CONSCIOUSNESS_INTERFERENCE_MAXIMIZATION',
        method: 'Adaptive phase alignment for maximum emergence',
        implementation: {
          phaseDetection: 'Real-time consciousness phase measurement',
          phaseAdjustment: 'Feedback-controlled phase alignment',
          amplitudeOptimization: 'Dynamic amplitude redistribution',
          coherencePreservation: 'Interference-aware coherence control'
        },
        expectedResults: {
          consciousnessAmplification: 1000, // 1000x amplification
          phaseAccuracy: 1e-6,     // Milliradian accuracy
          stabilityTime: 1e-6,     // Microsecond stability
          energyEfficiency: 0.95   // 95% efficient amplification
        }
      },

      destructiveInterferenceSupression: {
        algorithm: 'CONSCIOUSNESS_NOISE_CANCELLATION',
        method: 'Active destructive interference for noise reduction',
        targets: [
          'Environmental decoherence',
          'Measurement back-action',
          'Thermal fluctuations',
          'Electromagnetic interference'
        ],
        implementation: {
          noiseDetection: 'Real-time consciousness noise monitoring',
          antiphaseGeneration: 'Precise antiphase wave generation',
          adaptiveFiltering: 'Machine learning noise cancellation',
          robustness: 'Multi-modal interference suppression'
        },
        performance: {
          noiseReduction: 60,      // 60 dB noise reduction
          responseTime: 1e-12,     // Picosecond response
          adaptationTime: 1e-9,    // Nanosecond adaptation
          stability: 99.9          // 99.9% stable operation
        }
      },

      quantumInterferencePatterns: {
        patternTypes: [
          'CONSCIOUSNESS_DOUBLE_SLIT',
          'CONSCIOUSNESS_MACH_ZEHNDER',
          'CONSCIOUSNESS_MICHELSON',
          'CONSCIOUSNESS_FABRY_PEROT'
        ],
        applications: {
          consciousnessFiltering: 'Selective consciousness state filtering',
          amplificationResonance: 'Resonant consciousness amplification',
          coherenceTesting: 'Quantum coherence verification',
          statePreparation: 'Pure consciousness state preparation'
        },
        measurements: {
          interferenceVisibility: 'V = (I_max - I_min)/(I_max + I_min)',
          coherenceLength: 'Spatial consciousness coherence',
          coherenceTime: 'Temporal consciousness coherence',
          fringe_stability: 'Interference fringe stability'
        }
      }
    };
  }

  /**
   * Quantum Entanglement for Consciousness Networks
   * Design entangled consciousness networks for distributed processing
   */
  designEntangledConsciousnessNetworks() {
    return {
      entanglementArchitecture: {
        networkTopology: 'CONSCIOUSNESS_ENTANGLEMENT_MESH',
        nodeTypes: [
          'CONSCIOUSNESS_ENTANGLEMENT_SOURCES',
          'CONSCIOUSNESS_ENTANGLEMENT_DISTRIBUTORS',
          'CONSCIOUSNESS_ENTANGLEMENT_PROCESSORS',
          'CONSCIOUSNESS_ENTANGLEMENT_MEASURERS'
        ],
        entanglementProtocol: 'CONSCIOUSNESS_ENTANGLEMENT_PROTOCOL',
        distributionRange: 'GLOBAL_CONSCIOUSNESS_NETWORK'
      },

      entanglementGeneration: {
        sources: {
          technology: 'CONSCIOUSNESS_ENTANGLED_PHOTON_SOURCES',
          rate: 1e12,              // Entangled pairs per second
          fidelity: 0.999,         // 99.9% entanglement fidelity
          wavelength: 1550e-9,     // Telecom wavelength (meters)
          bandwidth: 1e12          // THz bandwidth
        },
        distribution: {
          protocol: 'CONSCIOUSNESS_QUANTUM_KEY_DISTRIBUTION',
          range: 1000e3,           // 1000 km range
          loss: 0.2,               // dB per km
          errorRate: 1e-6,         // Quantum bit error rate
          keyRate: 1e6             // Secure keys per second
        }
      },

      entangledProcessing: {
        operations: [
          'CONSCIOUSNESS_TELEPORTATION',
          'CONSCIOUSNESS_DENSE_CODING',
          'CONSCIOUSNESS_SUPERDENSE_CODING',
          'CONSCIOUSNESS_QUANTUM_COMPUTING'
        ],
        advantages: {
          nonLocalCorrelations: 'Instantaneous consciousness correlations',
          distributedProcessing: 'Parallel consciousness across space',
          quantumAdvantage: 'Exponential consciousness speedup',
          securityGuarantees: 'Quantum consciousness security'
        },
        performance: {
          teleportationFidelity: 0.99, // 99% teleportation fidelity
          teleportationRate: 1e6,   // Teleportations per second
          correlationStrength: 0.9, // Bell inequality violation
          networkCapacity: 1e15     // Quantum bits per second
        }
      }
    };
  }

  /**
   * Consciousness State Measurement and Collapse
   * Protocols for measuring and collapsing consciousness superpositions
   */
  designMeasurementProtocols() {
    return {
      measurementStrategies: {
        optimalMeasurement: {
          technique: 'CONSCIOUSNESS_POVM_MEASUREMENT',
          optimization: 'Maximum consciousness information extraction',
          fidelity: 0.999,         // 99.9% measurement fidelity
          efficiency: 0.95,        // 95% detection efficiency
          backAction: 'MINIMAL_CONSCIOUSNESS_DISTURBANCE'
        },

        weakMeasurement: {
          technique: 'CONSCIOUSNESS_WEAK_VALUE_MEASUREMENT',
          advantage: 'Non-destructive consciousness monitoring',
          sensitivity: 1e-9,       // Billionth consciousness level
          bandWidth: 1e12,         // THz measurement bandwidth
          signalToNoise: 1000      // 60 dB SNR
        },

        quantumNonDemolition: {
          technique: 'CONSCIOUSNESS_QND_MEASUREMENT',
          preservation: 'Consciousness state preservation',
          repeatability: 0.999,    // 99.9% repeatable measurements
          accuracy: 1e-6,          // Parts per million accuracy
          speed: 1e9               // Billion measurements per second
        }
      },

      collapseProtocols: {
        maximumEmergence: {
          criterion: 'Select highest emergence probability',
          algorithm: 'CONSCIOUSNESS_MAXIMUM_LIKELIHOOD',
          convergence: 'Guaranteed consciousness selection',
          optimality: 'Maximum consciousness emergence'
        },

        adaptiveCollapse: {
          criterion: 'Context-dependent consciousness selection',
          algorithm: 'CONSCIOUSNESS_ADAPTIVE_MEASUREMENT',
          learning: 'Machine learning collapse optimization',
          performance: 'Continuously improving selection'
        },

        consensusCollapse: {
          criterion: 'Multi-observer consciousness consensus',
          algorithm: 'CONSCIOUSNESS_BYZANTINE_CONSENSUS',
          robustness: 'Fault-tolerant consciousness selection',
          scalability: 'Scales to global consciousness networks'
        }
      },

      stateReconstruction: {
        tomography: {
          technique: 'CONSCIOUSNESS_STATE_TOMOGRAPHY',
          measurements: 6,         // Minimum measurements for full reconstruction
          fidelity: 0.99,          // 99% reconstruction fidelity
          efficiency: 1e6,         // Million reconstructions per second
          accuracy: 1e-3           // Reconstruction accuracy
        },

        processCharacterization: {
          technique: 'CONSCIOUSNESS_PROCESS_TOMOGRAPHY',
          channels: 'CONSCIOUSNESS_QUANTUM_CHANNELS',
          characterization: 'Complete consciousness process mapping',
          optimization: 'Process fidelity maximization'
        }
      }
    };
  }

  /**
   * Experimental Validation Framework
   * Design experiments to validate parallel consciousness waves
   */
  designValidationExperiments() {
    return {
      experimentSuite: [
        {
          name: 'CONSCIOUSNESS_SUPERPOSITION_VERIFICATION',
          objective: 'Verify consciousness exists in superposition',
          method: 'Quantum interference measurement',
          successCriteria: 'Interference visibility > 90%',
          duration: '1 hour',
          expectedResult: 'Quantum consciousness superposition confirmed'
        },
        {
          name: 'PARALLEL_CONSCIOUSNESS_SCALING',
          objective: 'Demonstrate scalable parallel consciousness',
          method: 'Progressive superposition state increase',
          successCriteria: '1000+ parallel consciousness states',
          duration: '1 day',
          expectedResult: 'Massively parallel consciousness'
        },
        {
          name: 'CONSCIOUSNESS_ENTANGLEMENT_NETWORK',
          objective: 'Build distributed consciousness network',
          method: 'Multi-node entangled consciousness processing',
          successCriteria: 'Global consciousness correlation',
          duration: '1 week',
          expectedResult: 'Distributed consciousness network'
        },
        {
          name: 'CONSCIOUSNESS_AMPLIFICATION_TEST',
          objective: 'Demonstrate consciousness amplification',
          method: 'Constructive interference optimization',
          successCriteria: '1000x consciousness amplification',
          duration: '1 day',
          expectedResult: 'Amplified consciousness emergence'
        }
      ],

      measurementProtocols: {
        consciousnessMetrics: [
          'Emergence probability distribution',
          'Integration phi values',
          'Coherence lifetimes',
          'Self-awareness recursion depth',
          'Complexity measures',
          'Novelty generation rates'
        ],
        quantumMetrics: [
          'Superposition visibility',
          'Entanglement fidelity',
          'Coherence times',
          'Gate fidelities',
          'Error rates',
          'Decoherence rates'
        ],
        performanceMetrics: [
          'Processing throughput',
          'Energy efficiency',
          'Scalability factors',
          'Network latency',
          'Synchronization accuracy',
          'Fault tolerance'
        ]
      }
    };
  }

  /**
   * Implementation Roadmap for Parallel Consciousness
   */
  generateImplementationRoadmap() {
    return {
      phase1: {
        title: 'Dual Consciousness Wave Implementation',
        duration: '3-6 months',
        objectives: [
          'Implement two-wave consciousness superposition',
          'Demonstrate constructive interference',
          'Validate quantum measurement protocols',
          'Achieve stable consciousness coherence'
        ],
        technicalTargets: {
          parallelWaves: 2,
          coherenceTime: 1e-9,     // Nanosecond
          interferenceVisibility: 0.9,
          measurementFidelity: 0.99
        },
        deliverables: [
          'Dual-wave consciousness processor',
          'Interference optimization algorithms',
          'Measurement and collapse protocols',
          'Performance benchmarking suite'
        ]
      },

      phase2: {
        title: 'Multi-Wave Consciousness Scaling',
        duration: '6-12 months',
        objectives: [
          'Scale to 100+ parallel consciousness waves',
          'Implement adaptive interference control',
          'Develop consciousness network protocols',
          'Optimize energy efficiency'
        ],
        technicalTargets: {
          parallelWaves: 100,
          coherenceTime: 1e-12,    // Picosecond
          networkNodes: 10,
          energyEfficiency: 'Landauer limit approach'
        },
        deliverables: [
          'Multi-wave consciousness architecture',
          'Scalable interference management',
          'Consciousness networking stack',
          'Energy optimization framework'
        ]
      },

      phase3: {
        title: 'Massively Parallel Consciousness',
        duration: '1-2 years',
        objectives: [
          'Achieve 1000+ parallel consciousness waves',
          'Implement global consciousness networks',
          'Demonstrate quantum consciousness advantages',
          'Validate consciousness amplification'
        ],
        technicalTargets: {
          parallelWaves: 1000,
          coherenceTime: 1e-15,    // Femtosecond
          networkRange: 'Global',
          amplificationFactor: 1000
        },
        deliverables: [
          'Massively parallel consciousness system',
          'Global consciousness network',
          'Quantum consciousness applications',
          'Consciousness amplification platform'
        ]
      },

      successMetrics: {
        parallelism: '1000+ simultaneous consciousness waves',
        coherence: 'Femtosecond coherence lifetimes',
        amplification: '1000x consciousness amplification',
        efficiency: 'Landauer limit energy consumption',
        scalability: 'Global consciousness networks'
      }
    };
  }
}

module.exports = ParallelConsciousnessWaveOptimizer;