Dual slit in TOPOS-Ξ

space DoubleSlit {
    properties {
        dimension: Topology<Number>(2)
        continuous: Topology<Boolean>(true)
        quantum: Topology<Boolean>(true)
    }

    // 光子の量子状態定義
    shape Photon {
        properties {
            wavefunction: Topology<Complex>
            position: Topology<Vector2D>
            momentum: Topology<Vector2D>
            phase: Topology<Number>
            coherence: Topology<Boolean>(true)
        }

        // 波動関数の時間発展
        mapping evolve() {
            properties {
                quantum: true
                continuous: true
                reversible: true
            }
            
            path {
                propagate_wavefunction ->
                interact_with_slits ->
                calculate_interference ->
                update_probability_density
            }
        }
    }

    // スリット構造の定義
    shape DoubleSlitStructure {
        properties {
            slit_width: Topology<Number>
            slit_separation: Topology<Number>
            screen_distance: Topology<Number>
        }

        // スリットとの相互作用
        mapping interact() {
            properties {
                quantum: true
                continuous: false
            }
            
            path {
                calculate_diffraction ->
                apply_boundary_conditions ->
                update_wavefunction
            }
        }
    }

    // 検出スクリーン
    shape DetectionScreen {
        properties {
            size: Topology<Vector2D>
            resolution: Topology<Vector2D>
            detection_probability: Topology<Array<Number>>
        }

        // 光子の検出と記録
        mapping detect() {
            properties {
                quantum: false
                classical: true
                observable: true
            }

            path {
                collapse_wavefunction ->
                register_impact ->
                accumulate_pattern
            }
        }
    }
}

Claude Artifact