Add ITT physics engine: PhiField dual-field, ρ_q boundary charge, SigmaResidue, Fan Signatures, TransformationRule, FieldInvariants — 47/400 (11.8%)"

itt_solver/itt_engine.py

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+"""
+ITT Physics Engine for ARC-AGI
+==============================
+
+Pure implementation of the Intent Tensor Theory solver, ported from
+Sensei-Intent-Tensor/0.0_ARC_AGI (ITT_PURE_SOLVER.py v4).
+
+Phases 1-7 of the ITT integration:
+  1. PhiField dual-field (Φ_q + Φ̃)
+  2. ρ_q boundary charge with physics-derived threshold
+  3. SigmaResidue change typing
+  4. Fan Signature 6-bit classifier
+  5. TransformationRule.learn()
+  6. FieldInvariants (spectral, harmonic, eigenspectrum, Fourier, frames)
+  7. Rule apply methods (tile, self_tile, fill, multi_fill, period, shape, recolor)
+
+References:
+  - https://github.com/Sensei-Intent-Tensor/0.0_ARC_AGI
+  - https://zenodo.org/records/18077258
+"""