%% Observer-Agnostic Measurement GOAP Dependency Graph
%% Use https://mermaid.live to visualize

graph TD
    %% Phase 1: Theoretical Foundation
    START([START]) --> A11[1.1 Formalize Theorem]
    A11 --> A12[1.2 Verify Proof]
    A12 --> A13[1.3 Define Predictions]

    %% Phase 2: Simulation Infrastructure
    START --> A21[2.1 Init Rust Project]
    A21 --> A22[2.2 Math Module]
    A21 --> A23[2.3 Eraser Module]
    A21 --> A24[2.4 Duality Module]
    A22 --> A25[2.5 CLI Tool]
    A23 --> A25
    A24 --> A25

    %% Phase 3: Testing
    A22 --> A31[3.1 Unit Tests]
    A23 --> A32[3.2 Invariance Tests]
    A24 --> A33[3.3 Duality Tests]
    A31 --> A34[3.4 Run Test Suite]
    A32 --> A34
    A33 --> A34

    %% Phase 4: Computational Validation
    A34 --> A41[4.1 Phase Sweep]
    A25 --> A41
    A41 --> A42[4.2 Visualize Results]
    A42 --> A43[4.3 Document Simulation]

    %% Phase 5: Experimental Design
    A13 --> A51[5.1 Design Apparatus]
    A51 --> A52[5.2 Calibration Protocol]
    A13 --> A53[5.3 Statistical Plan]
    A51 --> A54[5.4 Pre-registration]
    A52 --> A54
    A53 --> A54

    %% Phase 6: Hardware & Lab
    A54 --> A61[6.1 Secure Funding]
    A61 --> A62[6.2 Procure Hardware]
    A62 --> A63[6.3 Build Setup]
    A63 --> A64[6.4 Calibrate]

    %% Phase 7: Data Collection
    A64 --> A71[7.1 Pilot Study]
    A71 --> A72[7.2 Full Data Collection]

    %% Phase 8: Analysis
    A72 --> A81[8.1 Unblind Data]
    A81 --> A82[8.2 Statistical Analysis]
    A82 --> A83[8.3 Interpret Results]

    %% Phase 9: Publication
    A83 --> A91[9.1 Draft Paper]
    A83 --> A92[9.2 Publish Code]
    A91 --> A93[9.3 Disseminate]
    A92 --> A93
    A93 --> END([END])

    %% Critical Path Styling
    classDef critical fill:#ff6b6b,stroke:#c92a2a,stroke-width:3px,color:#fff
    classDef parallel fill:#51cf66,stroke:#2f9e44,stroke-width:2px
    classDef optional fill:#74c0fc,stroke:#1971c2,stroke-width:1px

    class A11,A12,A13,A51,A54,A61,A62,A63,A64,A72,A82,A91 critical
    class A22,A23,A24,A31,A32,A33,A52,A53 parallel
    class A25,A41,A42,A43,A71,A92,A93 optional

    %% Phase Labels
    subgraph Phase1["Phase 1: Theory (Weeks 1-2)"]
        A11
        A12
        A13
    end

    subgraph Phase2["Phase 2: Simulation (Weeks 2-4)"]
        A21
        A22
        A23
        A24
        A25
    end

    subgraph Phase3["Phase 3: Testing (Weeks 3-5)"]
        A31
        A32
        A33
        A34
    end

    subgraph Phase4["Phase 4: Validation (Week 5)"]
        A41
        A42
        A43
    end

    subgraph Phase5["Phase 5: Exp Design (Weeks 6-8)"]
        A51
        A52
        A53
        A54
    end

    subgraph Phase6["Phase 6: Lab Setup (Weeks 9-16)"]
        A61
        A62
        A63
        A64
    end

    subgraph Phase7["Phase 7: Data (Weeks 17-20)"]
        A71
        A72
    end

    subgraph Phase8["Phase 8: Analysis (Weeks 21-22)"]
        A81
        A82
        A83
    end

    subgraph Phase9["Phase 9: Publication (Weeks 23-24)"]
        A91
        A92
        A93
    end

    %% Legend
    style START fill:#ffd43b,stroke:#fab005
    style END fill:#51cf66,stroke:#2f9e44