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feat: Geometric Turing Machine v4 for ARC-AGI#8

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Concode0 wants to merge 12 commits intomainfrom
feat/gtm-v4
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feat: Geometric Turing Machine v4 for ARC-AGI#8
Concode0 wants to merge 12 commits intomainfrom
feat/gtm-v4

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@Concode0
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Summary

  • Adds the Geometric Turing Machine (GTM), a few-shot grid transformation architecture for ARC-AGI tasks
  • Uses Projective Geometric Algebra Cl(3,0,1) as the CPU algebra, enabling both rotation and translation via motor sandwich products
  • Three-phase training: warmup → circuit search → adaptive computation (PonderNet)
  • Key components: GridCodec (PGA encoding), GeometricCPU (motor + ColorUnit), GeometricSuperpositionSearch, RuleAggregator (cross-attention rule memory), TuringVM, GTMAnalyzer
  • Run: uv run main.py task=gtm

Test plan

  • All 343 existing tests pass
  • Forward + backward pass verified (fixed-step and ACT modes)
  • Full training run

@Concode0
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Temporarily pivoting GSS development toward theoretical grounding. Current hypothesis exploration is a valuable PoC, but I'm moving toward a more rigid geometric framework to eliminate the current state-stagnation issues. Updates to follow.

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