TOPOS－Ξ パ＾－リンノイズを球体に張り付けてみた。

Claude Artifact

space PerlinSphereSystem {
    properties {
        manifold: Topology<Sphere> = true
        smooth: Topology<Boolean> = true
        dimension: Topology<Number> = 3
        decoherence_protected: Boolean = true
        singularity_handled: Boolean = true
    }

    // 量子-古典ブリッジの定義
    shape QuantumClassicalBridge {
        properties {
            coherence_time: Number
            measurement_strategy: String
            entanglement_depth: Number
        }

        invariants {
            quantum_consistency: Boolean = true
            classical_correspondence: Boolean = true
            information_preservation: Boolean = true
        }

        mapping measure_quantum_state() {
            properties {
                non_destructive: Boolean = true
                state_preserving: Boolean = true
            }

            path {
                prepare_measurement_basis ->
                perform_weak_measurement ->
                update_classical_state ->
                verify_coherence ->
                handle_decoherence
            }
        }
    }

    shape NoiseGenerator {
        properties {
            quantum_state: Quantum<NoiseState>
            superposition: Boolean = true
            decoherence_rate: Number
            error_correction: Boolean = true
        }

        // 量子ノイズ状態の具体的な定義
        shape QuantumNoiseState {
            properties {
                amplitude: Complex
                phase: Complex
                coherence: Number
            }

            mapping evolve() {
                path {
                    apply_quantum_drift ->
                    handle_decoherence ->
                    apply_error_correction ->
                    update_quantum_state
                }
            }
        }

        mapping generate_quantum_noise() {
            properties {
                coherent: Boolean = true
                error_corrected: Boolean = true
            }

            path {
                initialize_quantum_registers ->
                apply_quantum_operations ->
                perform_error_correction ->
                verify_quantum_state ->
                bridge_to_classical
            }
        }
    }

    shape SphereMapper {
        properties {
            quantum_bridge: QuantumClassicalBridge
            singularity_handler: TopologicalSingularityHandler
        }

        // 特異点処理の強化
        shape TopologicalSingularityHandler {
            properties {
                pole_resolution: Number
                smoothing_radius: Number
                continuity_preserving: Boolean = true
            }

            mapping handle_singularity() {
                path {
                    detect_singular_points ->
                    compute_local_charts ->
                    apply_smoothing ->
                    verify_continuity ->
                    update_manifold
                }
            }
        }

        mapping map_to_sphere(theta: Number, phi: Number) {
            properties {
                singularity_aware: Boolean = true
                quantum_coherent: Boolean = true
            }

            path {
                check_coordinate_validity ->
                handle_pole_singularities ->
                compute_quantum_contribution ->
                apply_coordinate_transform ->
                verify_manifold_structure
            }
        }
    }

    // リソース管理の強化
    shape ResourceManager {
        properties {
            quantum_memory: QuantumMemoryPool
            classical_memory: MemoryPool
            garbage_collection: Boolean = true
        }

        mapping optimize_resources() {
            path {
                monitor_memory_usage ->
                collect_quantum_garbage ->
                reallocate_resources ->
                verify_resource_state
            }
        }

        mapping handle_errors() {
            path {
                detect_error_syndrome ->
                apply_error_correction ->
                restore_quantum_state ->
                verify_system_integrity
            }
        }
    }

    // パフォーマンス最適化
    shape PerformanceOptimizer {
        properties {
            quantum_classical_ratio: Number
            measurement_frequency: Number
            cache_strategy: String
        }

        mapping optimize_execution() {
            path {
                profile_performance ->
                adjust_quantum_operations ->
                optimize_classical_compute ->
                balance_resources ->
                verify_optimization
            }
        }
    }

    mapping run_system() {
        properties {
            fault_tolerant: Boolean = true
            resource_optimized: Boolean = true
        }

        path {
            initialize_quantum_system ->
            setup_error_correction ->
            start_resource_monitoring ->
            execute_main_loop ->
            handle_system_failures ->
            cleanup_resources
        }
    }
}