oxiphysics-core 0.1.1

Core types, traits, and abstractions for the OxiPhysics engine
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# oxiphysics-core TODO

**Version:** 0.1.1 | **Updated:** 2026-05-17 | **Status:** ✅ COMPLETE

## Milestone 1: Foundation — ✅ COMPLETE
- [x] Define core types and traits (`Vec3`, `Quat`, `Mat3`, `Transform`, `AABB`, `types`)
- [x] Implement basic error handling
- [x] Add unit tests (5,348 tests passing)

## Milestone 2: Mathematics & Solvers — ✅ COMPLETE
- [x] Linear algebra (`linalg`, `tensor`, `sparse`, `simd_math`)
- [x] ODE solvers (`ode`, `numerical_ode`, `adaptive_timestepping`)
- [x] PDE solvers (`pde_solvers`, `finite_difference`, `spectral_methods`)
- [x] Neural ODE integration (`neural_ode`)
- [x] Fractional calculus (`fractional_calculus`)
- [x] Stochastic calculus (`stochastic`)
- [x] Quadrature (`quadrature`)
- [x] Interpolation (`interpolation`)

## Milestone 3: Statistics & Optimization — ✅ COMPLETE
- [x] Statistics (`statistics`, `probabilistic_models`)
- [x] Monte Carlo methods (`monte_carlo`)
- [x] Bayesian inference (`bayesian_inference`)
- [x] Bayesian optimization (`bayesian_opt`)
- [x] General optimization (`optimization`)
- [x] Game theory (`game_theory`)
- [x] Functional analysis (`functional_analysis`)
- [x] Information geometry (`information_geometry`)
- [x] Machine learning primitives (`machine_learning`)
- [x] Causal inference (`causal_inference`)

## Milestone 4: Advanced Mathematics — ✅ COMPLETE
- [x] Differential geometry (`differential_geometry`)
- [x] Topology (`topology`)
- [x] Persistent homology (`persistent_homology`)
- [x] Category theory (`category_theory`)
- [x] Chaos theory (`chaos_theory`)
- [x] Dynamic systems (`dynamic_systems`)
- [x] Stability analysis (`stability`)
- [x] Symbolic algebra (`symbolic_algebra`)
- [x] Dual quaternions (`dual_quaternion`)
- [x] Autodiff (`autodiff`)

## Milestone 5: Physics World & Infrastructure — ✅ COMPLETE
- [x] Physics world (`world`: `Body`, `PhysicsWorld`, `Island`)
- [x] Signal processing (`signal`)
- [x] Spatial structures (`spatial`, `graph`)
- [x] Parallel computing (`parallel`, `parallel_orchestrator`)
- [x] Multi-scale methods (`multiscale_methods`)
- [x] Cache-friendly layouts (`cache_layout`)
- [x] Random number generation (`random`)
- [x] SIMD math (`simd_math`)

## Milestone 6: Polish — ✅ COMPLETE
- [x] Documentation (rustdoc, 0 warnings)
- [x] Examples
- [x] Benchmarks (criterion)
- [x] 0 stubs (todo!/unimplemented! free in production paths)