# BlackRoad OS Research Lab Pack
# Mathematical and Quantum Research Infrastructure

id: pack.research-lab
name: "Research Lab"
version: "1.0.0"
description: "Mathematical research, quantum computing experiments, and computational proofs"
owning_team: blackroad-research
repo: blackroad-os-pack-research-lab
status: active
risk_level: medium

# Domain areas
domains:
  - mathematics
  - quantum_computing
  - proof_systems
  - number_theory
  - computational_research

# Associated agents
agents:
  - agent.lucidia.core
  - agent.lucidia.math
  - agent.research.assistant

# Module registry
modules:
  # Core Mathematics
  math:
    - id: hilbert_core
      name: "Hilbert Space Symbolic Reasoning"
      path: math/hilbert_core.py
      description: "Quantum-inspired symbolic reasoning with density matrices and truth degrees"
      capabilities:
        - projector_construction
        - density_matrices
        - truth_degree_computation
        - luders_measurement
        - tensor_products
      dependencies: [numpy]

    - id: collatz
      name: "Collatz Conjecture Verification"
      path: math/collatz/
      description: "Distributed Collatz counterexample search with LLM-assisted verification"
      capabilities:
        - chunk_orchestration
        - worker_distribution
        - verification_pipeline
      components:
        - orchestrator.py
        - worker.py
        - verifier.py
        - db.py

    - id: linmath
      name: "Linear Mathematics Library"
      path: math/linmath/
      description: "C header library for vectors, matrices, and transformations"
      capabilities:
        - vector_operations
        - matrix_operations
        - quaternions
        - transformations
      language: c

    - id: lucidia_math_forge
      name: "Lucidia Math Forge"
      path: math/lucidia_math_forge/
      description: "Symbolic proof engine with contradiction tracking"
      capabilities:
        - symbolic_proofs
        - operator_definitions
        - number_theory
        - dimensional_analysis
        - fractal_generation
      components:
        - proofs.py
        - operators.py
        - numbers.py
        - dimensions.py
        - fractals.py
        - sinewave.py

    - id: lucidia_math_lab
      name: "Lucidia Math Lab"
      path: math/lucidia_math_lab/
      description: "Experimental mathematics with interactive exploration"
      capabilities:
        - prime_exploration
        - trinary_logic
        - quantum_finance
        - recursion_experiments
        - iterative_construction
      components:
        - prime_explorer.py
        - trinary_logic.py
        - quantum_finance.py
        - recursion_sandbox.py
        - iterative_math_build.py

  # Quantum Computing
  quantum:
    - id: lucidia_quantum
      name: "Lucidia Quantum Core"
      path: quantum/lucidia_quantum/
      description: "Quantum simulation and computation"

    - id: quantum_engine
      name: "Quantum Engine"
      path: quantum/quantum_engine/
      description: "Quantum circuit simulation and execution"

  # Experiments
  experiments:
    - id: br_math
      name: "BlackRoad Math Experiments"
      path: experiments/br_math/
      description: "Experimental mathematical concepts and gap analysis"
      components:
        - godel_gap.py    # Gödel incompleteness gap scoring
        - qt3.py          # Quantum computation experiments
        - abacus_gate.py  # Gate operations
        - noether_care.py # Noether's theorem applications

# Research Areas
research_areas:
  number_theory:
    description: "Prime numbers, Collatz conjecture, Riemann hypothesis"
    modules: [collatz, lucidia_math_lab]

  proof_systems:
    description: "Symbolic proofs, contradiction detection, formal methods"
    modules: [lucidia_math_forge, hilbert_core]

  quantum_computing:
    description: "Quantum circuits, simulation, quantum-classical hybrid"
    modules: [lucidia_quantum, quantum_engine]

  computational_geometry:
    description: "Linear algebra, transformations, spatial computing"
    modules: [linmath, hilbert_core]

  logic_systems:
    description: "Trinary logic, non-classical reasoning, fuzzy logic"
    modules: [lucidia_math_lab]

# Integration points
integrations:
  - qlm_lab:
      description: "Integration with Quantum Logic Math Lab in BlackRoad-Operating-System"
      path: /qlm_lab
      sync: bidirectional

  - agents_registry:
      description: "Agent personality integration for research assistants"
      path: /blackroad-os-agents-work
      sync: outbound

# Scheduled tasks
schedules:
  daily_verification:
    cron: "0 2 * * *"
    task: "Run Collatz verification status check"
    module: collatz

  weekly_analysis:
    cron: "0 3 * * 0"
    task: "Generate research progress report"
    module: all

# Documentation
docs:
  - README.md
  - RESEARCH_AREAS.md
  - API_REFERENCE.md
  - EXPERIMENT_LOG.md