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0108860bff
Create comprehensive research-lab pack structure with mathematical and quantum computing modules from blackroad-prism-console: Math Modules: - hilbert_core.py: Hilbert space symbolic reasoning - collatz/: Distributed Collatz conjecture verification - linmath/: Linear mathematics C library - lucidia_math_forge/: Symbolic proof engine - lucidia_math_lab/: Experimental mathematics Quantum Modules: - lucidia_quantum/: Quantum core - quantum_engine/: Circuit simulation Experiments: - br_math/: Gödel gap, quantum experiments Includes pack.yaml manifest and comprehensive README. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
128 lines
4.0 KiB
Markdown
128 lines
4.0 KiB
Markdown
# BlackRoad OS Research Lab Pack
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Mathematical research, quantum computing experiments, and computational proof systems for the BlackRoad OS ecosystem.
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## Overview
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The Research Lab pack provides a unified home for all mathematical and computational research within BlackRoad OS. It parallels and integrates with the `blackboxprogramming/blackroad-prism-console` math modules.
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## Structure
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```
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research-lab/
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├── math/ # Mathematical modules
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│ ├── hilbert_core.py # Hilbert space symbolic reasoning
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│ ├── collatz/ # Collatz conjecture verification
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│ ├── linmath/ # Linear mathematics (C library)
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│ ├── lucidia_math_forge/ # Symbolic proof engine
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│ └── lucidia_math_lab/ # Experimental mathematics
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├── quantum/ # Quantum computing
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│ ├── lucidia_quantum/ # Quantum core
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│ └── quantum_engine/ # Circuit simulation
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├── experiments/ # Research experiments
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│ └── br_math/ # Mathematical experiments
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├── docs/ # Documentation
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├── pack.yaml # Pack manifest
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└── README.md # This file
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```
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## Modules
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### Hilbert Core (`hilbert_core.py`)
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Quantum-inspired symbolic reasoning using density matrices and projectors.
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```python
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from hilbert_core import pure_state, truth_degree, projector_from_basis
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# Create a pure state
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psi = pure_state([1, 0, 0])
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# Measure truth degree
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P = projector_from_basis([[1], [0], [0]])
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degree = truth_degree(psi, P) # Returns 1.0
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```
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### Collatz Verification (`collatz/`)
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Distributed Collatz conjecture verification system.
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```bash
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# Start orchestrator
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python -m collatz.orchestrator --start 1 --end 1000000000 --db ./campaign.sqlite
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# Run workers on devices
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python -m collatz.worker --db ./campaign.sqlite
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```
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### Lucidia Math Forge (`lucidia_math_forge/`)
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Symbolic proof engine with contradiction detection.
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- `proofs.py` - Lightweight symbolic proof engine
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- `operators.py` - Mathematical operators
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- `numbers.py` - Number theory
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- `fractals.py` - Fractal generation
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- `dimensions.py` - Dimensional analysis
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### Lucidia Math Lab (`lucidia_math_lab/`)
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Interactive mathematical exploration.
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- `prime_explorer.py` - Prime analysis with Ulam spirals
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- `trinary_logic.py` - Ternary logic systems
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- `quantum_finance.py` - Quantum-inspired financial math
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- `iterative_math_build.py` - Iterative construction
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### Linear Math (`linmath/`)
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C header library for vectors, matrices, and transformations.
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```c
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#include "linmath.h"
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vec3 v = {1.0f, 2.0f, 3.0f};
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mat4x4 m;
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mat4x4_identity(m);
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mat4x4_rotate_Z(m, m, 0.5f);
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```
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## Research Areas
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| Area | Description | Modules |
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|------|-------------|---------|
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| Number Theory | Primes, Collatz, Riemann | collatz, prime_explorer |
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| Proof Systems | Symbolic proofs, contradictions | lucidia_math_forge, hilbert_core |
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| Quantum Computing | Circuits, simulation | lucidia_quantum, quantum_engine |
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| Computational Geometry | Linear algebra, transforms | linmath, hilbert_core |
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| Logic Systems | Trinary, fuzzy, non-classical | lucidia_math_lab |
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## Integration
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### With QLM Lab
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```python
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# The pack integrates with /qlm_lab
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from qlm_lab import api as qlm
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from packs.research_lab.math import hilbert_core
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```
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### With Agent System
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Research agents from the agent registry can interact with these modules:
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- `agent.lucidia.core` - Core Lucidia intelligence
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- `agent.lucidia.math` - Mathematical operations
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- `agent.research.assistant` - Research coordination
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## Source Repositories
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This pack parallels content from:
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- `blackboxprogramming/blackroad-prism-console` (source)
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- `BlackRoad-OS/blackroad-os-prism-console` (target)
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Maintained sync ensures mathematical research is available across the ecosystem.
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## Contributing
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1. Add new experiments to `experiments/`
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2. Extend math modules in `math/`
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3. Update `pack.yaml` with new modules
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4. Run verification tests before committing
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## License
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Apache 2.0 - See LICENSE file
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