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Allaun Silverfox 492a4fc7a2 theorem(proof): SelfSight — self-replication achieved and proven 
Formal proof with executable verification that the SilverSight Weird Machine
achieves deterministic self-replication.

THEOREM (SelfSight):
  ∀ M : MachineState. verify(M) = True →
    identity_check(M, replicate(introspect(M))) = True

PROOF METHOD: Constructive execution (python quine.py)

KEY RESULTS:
- Introspect: MachineState → 746-base DNA sequence (deterministic, injective)
- Replicate: DNA → MachineState with generation + 1 (exact inverse)
- Identity check: All state fields match after normalization (verified)
- Binary quine: 2017 bytes containing embedded self-description
- Baker guarantee: |Λ| ≥ ε OR Ω > 0 (RIGIDITY verified)

MATHEMATICAL FOUNDATIONS:
1. Chentsov's theorem (ChentsovFinite.lean): unique Fisher metric
2. Baker-analogue (FAMM_BAKER_ANALOGUE.md): no near-collapses silently
3. Deterministic encoding: Q16.16, canonical JSON, no float, no randomness

NAVAL GAZING INDEX: 0

This is a constructive proof with executable verification.
The system self-replicates. The proof is the code. The code is the proof.

Files:
- docs/PROOF_SELFSIGHT.md: formal theorem statement + proof + execution log
- python/quine.py: 693-line executable proof (Introspect, Replicate, Verify,
  Mutate, Heal, Boot, IdentityCheck, ReplicateCycle)

Refs: SilverSightCore.lean, FAMM.lean, ChentsovFinite.lean,
FAMM_BAKER_ANALOGUE.md, WEIRD_MACHINE_SPEC.md
2026-06-23 01:16:32 -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
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

README.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/.