Physics MCP Server

# Phase 3 - Domain-Specific Physics Modules - COMPLETE ## Overview Phase 3 adds advanced physics capabilities to the MCP server, including tensor algebra for general relativity, quantum mechanics tools, and statistical mechanics computations. All tools include optional GPU acceleration via PyTorch with automatic CPU fallback. ## Deliverables Completed ✅ ### M8 - Tensor Algebra - **Package**: `packages/tools-tensor/` - **Tool**: `tensor_algebra` - **Capabilities**: - Christoffel symbol computation: Γ^k_{ij} = (1/2) g^{kl} (∂g_{il}/∂x^j + ∂g_{jl}/∂x^i - ∂g_{ij}/∂x^l) - Symbolic and LaTeX output for tensor components - Geodesic equation generation - Metric determinant calculation - Partial implementations for Riemann/Ricci tensors with guidance - **Examples**: 2D polar coordinates, Schwarzschild metric - **Safety**: Safe sympify parsing, execution timeouts ### M9 - Quantum Mechanics - **Package**: `packages/tools-quantum/` - **Tools**: `quantum_ops`, `quantum_solve`, `quantum_visualize` - **Capabilities**: - **quantum_ops**: Commutator calculations, matrix representations (Pauli matrices, creation/annihilation operators) - **quantum_solve**: Standard problems (SHO, particle in box), energy eigenvalues, wavefunctions - **quantum_visualize**: Bloch sphere coordinates, probability density guidance - **Dependencies**: Optional qutip integration with graceful fallback - **Examples**: Pauli commutators, harmonic oscillator spectrum, Bloch states ### M10 - Statistical Mechanics - **Package**: `packages/tools-statmech/` - **Tool**: `statmech_partition` - **Capabilities**: - Partition function: Z = Σ g_i * exp(-β E_i) - Thermodynamic quantities: U, C_V, F, S - Population probabilities and most populated level - Degeneracy support - Numerical stability (energy shifting) - **Constants**: CODATA 2018 Boltzmann constant - **Examples**: Two-level systems, degenerate systems, temperature dependence ### M11 - Device Acceleration Layer - **Module**: `packages/python-worker/accel.py` - **Capabilities**: - Auto-detection: CUDA, MPS (Apple), XPU (Intel) - Environment controls: `ACCEL_MODE`, `ACCEL_DEVICE` - GPU-accelerated samplers for all plot functions - Automatic CPU fallback with friendly error messages - OOM protection with guidance - **Integration**: Refactored plot handlers with try-GPU → fallback-CPU pattern - **Tool**: `accel_caps` for capability reporting ## Architecture Enhancements ### Python Worker Extensions - **Total Methods**: 26 (up from 21 in Phase 2) - 6 CAS tools - 6 Plot tools (with acceleration) - 2 Units/Constants tools - 1 Report tool - 1 Acceleration capability tool - 5 Tensor tools - 3 Quantum tools - 1 Statistical mechanics tool - **Optional Dependencies**: qutip (quantum), torch (acceleration) - **Safety**: All Phase 3 tools use safe sympify parsing and execution timeouts ### TypeScript Packages - **New Packages**: 3 additional tool packages - `tools-tensor/`: Tensor algebra schemas and routing - `tools-quantum/`: Quantum mechanics schemas and routing - `tools-statmech/`: Statistical mechanics schemas and routing - **Server Integration**: Dynamic imports with graceful fallback warnings - **Total Packages**: 9 (up from 6 in Phase 2) ### Enhanced Server Routing - **Method Prefixes**: `tensor_*`, `quantum_*`, `statmech_*` - **Tool Discovery**: All Phase 3 tools advertised via `tools/list` - **Persistence**: Events and artifacts recorded for all Phase 3 computations - **Session Management**: Phase 3 tools integrate with existing session/report system ## Documentation & Examples ### Comprehensive Documentation - **Tool Docs**: `docs/Tools/Tensor.md`, `docs/Tools/Quantum.md`, `docs/Tools/StatMech.md` - **Updated Navigation**: README and docs/README updated with Phase 3 tool links - **API Schemas**: Complete JSON schemas for all Phase 3 tools ### Example Requests - **Tensor Examples**: `examples/requests/phase3-tensor.json` - 2D polar metric Christoffel symbols - Schwarzschild metric analysis - **Quantum Examples**: `examples/requests/phase3-quantum.json` - Pauli matrix commutators and representations - Quantum harmonic oscillator and particle in box - Bloch sphere visualization - **StatMech Examples**: `examples/requests/phase3-statmech.json` - Two-level and three-level systems - Degeneracy effects - Temperature dependence ### Testing Framework - **Test Suite**: `tests/phase3-tests.json` - Unit tests for all Phase 3 tools - Golden tests with expected outputs - Error handling validation - Integration tests for tool discovery - **Coverage**: All Phase 3 methods and error conditions ## Key Features Delivered ### Advanced Physics Capabilities - **General Relativity**: Christoffel symbols, metric analysis, geodesic equations - **Quantum Mechanics**: Operator algebra, standard problem solving, state visualization - **Statistical Mechanics**: Complete thermodynamic analysis from energy levels - **Cross-Domain Integration**: All tools work with existing CAS, plotting, and units systems ### Performance & Scalability - **GPU Acceleration**: Optional PyTorch backend for numerical sampling - **Automatic Fallback**: Graceful degradation to CPU when GPU unavailable - **Memory Management**: OOM protection with user guidance - **Platform Support**: Windows, Linux, macOS with device-specific optimizations ### Developer Experience - **Modular Architecture**: Each physics domain in separate, testable packages - **Type Safety**: Complete TypeScript schemas and interfaces - **Error Handling**: Comprehensive error messages and recovery guidance - **Documentation**: Complete API docs, examples, and usage patterns ## Acceptance Criteria Met ✅ 1. **✅ Tensor Algebra**: Christoffel symbols computed with symbolic output and LaTeX formatting 2. **✅ Quantum Operations**: Commutators, matrix representations, standard problem solving 3. **✅ Statistical Mechanics**: Partition functions and all thermodynamic quantities 4. **✅ Device Acceleration**: GPU support with CPU fallback across all platforms 5. **✅ Integration**: All Phase 3 tools work with persistence, reporting, and session management 6. **✅ Documentation**: Complete tool docs, examples, and API references 7. **✅ Testing**: Comprehensive test suite with unit, golden, and integration tests 8. **✅ Safety**: All tools use restricted sympify namespace and execution timeouts ## Tool Count Summary - **Phase 1**: 9 tools (CAS, Plot, NLI) - **Phase 2**: 21 tools (+ Units, Constants, Plot++, Report, Persistence) - **Phase 3**: 26 tools (+ Tensor, Quantum, StatMech, Acceleration) ## Next Steps (Phase 4+) Phase 3 provides a solid foundation for: - **Phase 4**: Data I/O (HDF5, FITS, ROOT), FFT/filtering, external API integration - **Phase 5**: Advanced visualization (volume rendering, animation, VR export) - **Phase 6**: ML/AI augmentation (symbolic regression, surrogate solvers) - **Phase 7**: Distributed computing (SLURM, Kubernetes, collaboration) - **Phase 8**: Unified digital physics lab (experiment orchestration, publishing) ## Dependencies ### Required - Python 3.8+: sympy, numpy, matplotlib, pint, scipy - Node.js 20+: TypeScript, better-sqlite3 ### Optional (Phase 3) - **qutip**: Enhanced quantum mechanics capabilities - **torch**: GPU acceleration (CUDA, MPS, XPU) All Phase 3 tools work without optional dependencies, providing graceful fallback messages. --- **Phase 3 Status**: ✅ **COMPLETE** **Total Implementation Time**: Comprehensive physics toolkit delivered **Ready for**: Production use, Phase 4 development, advanced physics workflows