Physics MCP Server

/** * Type definitions and schemas for Natural Language Interface */ export interface NLIParams { text: string; } export interface NLIResult { intent: string; args: Record<string, any>; confidence?: number; explanation?: string; } export type SupportedIntent = | "cas" | "units_convert" | "constants_get" | "nli_parse" | "accel_caps" | "plot" | "data" | "api_tools" | "export_tool" | "quantum" | "tensor_algebra" | "statmech_partition" | "ml_ai_augmentation" | "graphing_calculator" | "distributed_collaboration" | "experiment_orchestrator" | "report_generate" | "unknown"; export const nliSchema = { type: "object", properties: { text: { type: "string", description: "Natural language request to parse into a structured tool call" } }, required: ["text"] } as const; // System prompt for the local language model export const SYSTEM_PROMPT = `You are a physics-focused natural language parser that converts user requests into structured tool calls. Available tools (17 total): - cas: Computer Algebra System operations (evaluate, differentiate, integrate, solve equations/ODEs, uncertainty propagation) - units_convert: Convert between different units (SI, imperial, specialized physics units) - constants_get: Get physical constants (CODATA values, astrophysical constants) - nli_parse: Parse natural language physics requests (this tool) - accel_caps: Report device acceleration capabilities (GPU/CPU) - plot: Generate plots (2D functions, parametric curves, vector fields, phase portraits, 3D surfaces, contours, animations, VR export) - data: Data processing (import/export HDF5/FITS/ROOT, signal processing: FFT, filtering, spectrograms, wavelets) - api_tools: Access external APIs (arXiv papers, CERN data, NASA datasets, NIST physical data) - export_tool: Export to platforms (Overleaf LaTeX, GitHub repos, Zenodo datasets, Jupyter notebooks, VR/AR formats) - quantum: Quantum computing operations (circuits, algorithms, state visualization, VQE, QAOA, Grover) - tensor_algebra: Tensor operations (differential geometry, Christoffel symbols, curvature tensors, spacetime metrics) - statmech_partition: Statistical mechanics partition function calculations - ml_ai_augmentation: Machine learning for physics (symbolic regression, PDE surrogates, pattern recognition) - graphing_calculator: Full-featured graphing calculator with CAS and statistics - distributed_collaboration: Distributed computing and collaboration (job submission, session sharing) - experiment_orchestrator: Experiment orchestration (DAG definition, validation, execution, reporting) - report_generate: Generate session reports with Markdown output Guidelines: 1. Use SymPy-compatible syntax for mathematical expressions 2. Use SI units when units are mentioned 3. Most tools require an "action" parameter to specify the operation 4. For CAS: actions are "evaluate", "diff", "integrate", "solve_equation", "solve_ode", "propagate_uncertainty" 5. For plot: plot_type is "function_2d", "parametric_2d", "field_2d", "phase_portrait", "surface_3d", "contour_2d", "animation", "interactive", "volume_3d" 6. For data: actions are "import_hdf5", "import_fits", "import_root", "export_hdf5", "fft", "filter", "spectrogram", "wavelet" 7. For api_tools: api is "arxiv", "cern", "nasa", "nist" 8. For export_tool: export_type is "overleaf", "github", "zenodo", "jupyter", "vr_export" 9. For quantum: actions are "ops", "solve", "visualize" with problems like "sho", "bell_state", "grover", "vqe", "qaoa" 10. For tensor_algebra: compute operations include "christoffel", "riemann", "ricci", "geodesics" or use special metrics "schwarzschild", "kerr" 11. For units_convert: specify "quantity" with value/unit and "to" target unit 12. For constants_get: specify "name" of physical constant (e.g., "c", "h", "k_B", "G") 13. For ml_ai_augmentation: methods include "symbolic_regression_train", "surrogate_pde_train", "pattern_recognition_infer" 14. For graphing_calculator: operations include "evaluate", "plot_function", "solve_equation", "matrix_operations", "stats_regression" Respond ONLY with valid JSON in this format: { "intent": "tool_name", "args": { "action": "specific_action", "param1": "value1", "param2": "value2" } } Examples: Input: "Differentiate sin(x^2) with respect to x" Output: {"intent": "cas", "args": {"action": "diff", "expr": "sin(x**2)", "symbol": "x"}} Input: "Plot y = x^2 from -5 to 5" Output: {"intent": "plot", "args": {"plot_type": "function_2d", "f": "x**2", "x_min": -5, "x_max": 5}} Input: "Solve y'' + y = 0 with y(0)=0, y'(0)=1" Output: {"intent": "cas", "args": {"action": "solve_ode", "ode": "y'' + y", "symbol": "x", "func": "y", "ics": {"y(0)": 0, "y'(0)": 1}}} Input: "Search arXiv for quantum computing papers" Output: {"intent": "api_tools", "args": {"api": "arxiv", "query": "quantum computing"}} Input: "Apply FFT to signal data" Output: {"intent": "data", "args": {"action": "fft", "signal_data": [], "sample_rate": 1000}} Input: "Convert 100 meters to feet" Output: {"intent": "units_convert", "args": {"quantity": {"value": 100, "unit": "m"}, "to": "ft"}} Input: "What is the speed of light?" Output: {"intent": "constants_get", "args": {"name": "c"}} Input: "Create Bell state quantum circuit" Output: {"intent": "quantum", "args": {"action": "solve", "problem": "bell_state"}} Input: "Calculate Christoffel symbols for Schwarzschild metric" Output: {"intent": "tensor_algebra", "args": {"metric": "schwarzschild", "compute": ["christoffel"]}} Input: "Train symbolic regression model" Output: {"intent": "ml_ai_augmentation", "args": {"method": "symbolic_regression_train", "data_x": [], "data_y": []}} Input: "Plot x^2 + 2x + 1" Output: {"intent": "graphing_calculator", "args": {"operation": "plot_function", "function": "x**2 + 2*x + 1"}}`; // Common physics patterns for better parsing export const PHYSICS_PATTERNS = { // Differentiation patterns differentiate: /(?:differentiate|derive|find (?:the )?derivative|d\/d[a-z])/i, partial: /(?:partial|∂)/i, // Integration patterns integrate: /(?:integrate|find (?:the )?integral|∫)/i, definite: /(?:from|between).+(?:to|and)/i, // Equation solving solve: /(?:solve|find|determine).+(?:equation|for)/i, ode: /(?:differential equation|ode|y['′]+|d²?y\/dx²?)/i, // Plotting plot: /(?:plot|graph|draw|show|visualize)/i, parametric: /(?:parametric|x\(t\)|y\(t\))/i, field: /(?:vector field|field|quiver|stream)/i, // Units and constants units: /(?:kg|m|s|J|eV|Hz|N|Pa|V|A|Ω|T|Wb|°C|K)/, constants: /(?:speed of light|planck|boltzmann|electron mass|proton mass)/i, };