Research-Stack/docs
Allaun Silverfox 2e51d1bbfc feat(geometry): State space embedding — where the program lives
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)
2026-06-23 01:22:18 -05:00
..
architecture Add Rainbow Raccoon / FAMM / NUVMAP architecture manual 2026-05-20 23:01:41 -05:00
assets/css fix(docs): full soft color override — entire page #f5f0eb 2026-05-30 21:07:18 -05:00
concepts Add gamma radix metaprobe concept 2026-05-19 13:57:51 -05:00
famm initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
research Add guide for OpenAI unit-distance disproof as FAMM solve pattern 2026-05-20 23:01:41 -05:00
roadmaps Consolidate research stack updates 2026-05-05 21:09:48 -05:00
speculative-materials initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
_config.yml docs: soft theme for GitHub Pages — Cayman + muted palette 2026-05-30 20:57:50 -05:00
COEVOLUTION_MODEL.md feat(coevolution): FAMM + Resumable DAG + DNA sort co-evolution 2026-06-23 00:58:30 -05:00
compression_signal_shaping_synthesis.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
FAMM_BAKER_ANALOGUE.md feat(famm): Baker-analogue theorem as co-evolution guarantee 2026-06-23 01:00:25 -05:00
math-first-tooling.md fix: regression test now actually exercises --staged in temp repo 2026-05-12 04:51:57 +00:00
optional-science-toolbelt.md Harden optional science toolbelt probe 2026-05-12 05:12:46 -05:00
PROOF_SELFSIGHT.md theorem(proof): SelfSight — self-replication achieved and proven 2026-06-23 01:16:32 -05:00
rainbow_raccoon_compiler_integration.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
README.md Consolidate research stack updates 2026-05-05 21:09:48 -05:00
rrc_equation_classification.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
rrc_logogram_projection_bridge.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
rrc_logogram_projection_formalism.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
STATE_SPACE_EMBEDDING.md feat(geometry): State space embedding — where the program lives 2026-06-23 01:22:18 -05:00
transfold_couch_data_magnetic_domain_comparison.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
transfold_enwiki8_magnetic_domain_generator.md Add RRC projection receipts and roadmap mirrors 2026-05-08 14:50:03 -05:00
WEIRD_MACHINE_SPEC.md feat(quine): Weird Machine spec — self-replicating FAMM/DNA engine 2026-06-23 01:05:57 -05:00
WIKI.md docs: hyperlink 50x claim to VCN Pipeline compression table 2026-05-30 20:55:06 -05:00

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/.