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The hard part: not self-replication (engineering), but the GEOMETRY. Given MachineState M at time t, where IS it on the manifold? Product manifold decomposition: - Stack: Δ₇ (7-simplex, Fisher-Rao metric) - FAMM: ℝ⁴ⁿ (delay-competition metric) - Scars: M(Δ₇) (pressure-weighted measures) - Full state: Δ₇ × ℝ⁴ⁿ × M(Δ₇) with block-diagonal metric Computed coordinates for default quine.py state: - Stack: (0.5,0,0,0,0,0.5,0,0) on Φ-Σ edge of Δ₇ - FAMM: (1.0,-0.693,2.0,1.0,2.0,0.0,1.0,0.5) in log-delay coords - Scar: 0.1 point mass at Φ-Σ edge - Total: 25 coordinates Key insight: program execution IS geodesic flow on this product manifold. Boundaries (fuel=0, Gödel boundary) are where the interesting things happen. Refs: ChentsovFinite.lean (unique metric), quine.py (state), UniversalMathEncoding.lean (16D chaos space) |
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| .. | ||
| architecture | ||
| assets/css | ||
| concepts | ||
| famm | ||
| research | ||
| roadmaps | ||
| speculative-materials | ||
| _config.yml | ||
| COEVOLUTION_MODEL.md | ||
| compression_signal_shaping_synthesis.md | ||
| FAMM_BAKER_ANALOGUE.md | ||
| math-first-tooling.md | ||
| optional-science-toolbelt.md | ||
| PROOF_SELFSIGHT.md | ||
| rainbow_raccoon_compiler_integration.md | ||
| README.md | ||
| rrc_equation_classification.md | ||
| rrc_logogram_projection_bridge.md | ||
| rrc_logogram_projection_formalism.md | ||
| STATE_SPACE_EMBEDDING.md | ||
| transfold_couch_data_magnetic_domain_comparison.md | ||
| transfold_enwiki8_magnetic_domain_generator.md | ||
| WEIRD_MACHINE_SPEC.md | ||
| WIKI.md | ||
NOTE: This directory is a legacy alias. The authoritative documentation tree is 6-Documentation/docs/. See ARCHITECTURE.md for the full doc map.
Files here are retained as stable references. New documentation should be added to 6-Documentation/docs/.