From 93bfe3e7532ac1fc5b82e908fcc832aa44744a67 Mon Sep 17 00:00:00 2001 From: Allaun Silverfox <28494262+allaunthefox@users.noreply.github.com> Date: Thu, 2 Jul 2026 03:40:15 +0200 Subject: [PATCH] Remove hopf_ingest_bridge.md --- docs/hopf_ingest_bridge.md | 190 ------------------------------------- 1 file changed, 190 deletions(-) delete mode 100644 docs/hopf_ingest_bridge.md diff --git a/docs/hopf_ingest_bridge.md b/docs/hopf_ingest_bridge.md deleted file mode 100644 index 508ce194..00000000 --- a/docs/hopf_ingest_bridge.md +++ /dev/null @@ -1,190 +0,0 @@ -# ⛔ RETRACTED — Hopf Ingest Bridge - -**Retraction date:** June 30, 2026. Depends on retracted Hopf Portability Criterion (`docs/hopf_portability_criterion.md`). Replaced by `scripts/cartan_fingerprint.py` and `docs/cartan_fingerprint.md`. - ---- - -# Hopf Ingest Bridge — Automated Classification System (ARCHIVED) -**References:** `docs/hopf_portability_criterion.md`, `formal/CoreFormalism/HopfFibration.lean` - -## 0. Purpose - -Given a problem P (expressed as structured metadata), determine: -1. Whether P is Hopf-portable -2. If so, compute its fingerprint (n, σ, τ, D, ∆, R) -3. Classify it into a fiber type and regime class - -This bridges from the SilverSight formalization to arbitrary problem domains. - -## I. Ingest Pipeline - -``` -Problem P (JSON metadata) - → Extract channel structure (count n, interaction matrix M) - → Check Sidon-labelability (powers of 2 available?) - → Compute σ = spectral_radius(M) / 2ⁿ - → Compute τ = 1/(n−1) - → Compute D = lcm(2ⁿ, n−1) - → Compute ∆ = numerator(σ − τ) - → Check R = (n−1) × fiber_c matches π₀(Diff⁺(S^(2n-2))) - → Emit classification receipt -``` - -## II. Input Schema - -```json -{ - "schema": "hopf_ingest_request_v1", - "problem_id": "string", - "domain": "physics | optimization | number_theory | geometry | other", - "channel_count": 8, - "interaction_matrix": "path_or_citation", - "sidon_set": [1, 2, 4, 8, 16, 32, 64, 128], - "yang_baxter_holds": true, - "eigensolid_exists": true, - "hint_fiber_type": "quaternionic" -} -``` - -## III. Classification Output - -```json -{ - "schema": "hopf_ingest_receipt_v1", - "problem_id": "string", - "hopf_portable": true, - "fingerprint": { - "n": 8, - "sigma": "39/256", - "sigma_numerator": 39, - "tau": "1/7", - "denominator_D": 1792, - "gap": "17/1792", - "gap_numerator": 17, - "regimes_R": 28, - "fiber_type": "quaternionic", - "fiber_dimension": 3, - "hopf_map": "S³→S⁷→S⁴" - }, - "classification": { - "regime_class": null, - "port_quality": "strong", - "domain_analogs": [ - "topological_insulators", - "anyons_tqc", - "qubo_spin_glasses", - "ads4_cft3", - "exponential_sums", - "elliptic_curves_qm", - "crystalline_cohomology", - "spin_systems_o3", - "class_field_theory" - ] - }, - "conditions_passed": [true, true, true, true, true, true], - "maximal_encoding": true, - "at_ceiling": true -} -``` - -## IV. Classification Rules - -### Rule 1: Fiber Type Detection - -| Channel count n | Fiber f | Hopf map | Structure group | -|-----------------|---------|----------|-----------------| -| n = 2 | f = 0 (real) | S¹→S¹ | ℤ₂ | -| n = 4 | f = 1 (complex) | S³→S² | U(1) | -| n = 8 | f = 3 (quaternionic) | S⁷→S⁴ | SU(2) ≅ Sp(1) | -| n = 16 | f = 7 (octonionic) | S¹⁵→S⁸ | none (non-associative) | - -If n ∉ {2, 4, 8, 16}: **not Hopf-portable** (Condition E fails). - -### Rule 2: Gap Divergence Detection - -If p = numerator(σ − τ) is: -- p = 0: **degenerate** — Kelvin (achiral) regime, no dissipation -- 0 < p < 255: **Rossby (chiral) regime**, spectral gap active -- p ≥ 500: **nonabelian** — crossing energy dominates, possible regime collapse - -For n=8 with Cartan a=39: p = 39×7 − 256 = 17 ∈ (0, 255) ✓ - -### Rule 3: Ceiling Detection - -``` -is_at_ceiling = (n == 8) AND (fiber_type == "quaternionic") -``` - -If true: this is the **maximal group-theoretic Hopf encoding**. No larger n supports a structure group. - -## V. Bridge Architecture - -``` -┌─────────────────────────────────────┐ -│ Ingest Request │ -│ (JSON metadata about problem P) │ -└──────────────┬──────────────────────┘ - ↓ -┌─────────────────────────────────────┐ -│ Condition Checker │ -│ A: Strand decomposition │ -│ B: Cartan spectrum (σ = a/2ⁿ) │ -│ C: Sidon threshold (τ = 1/(n−1)) │ -│ D: Spectral gap (∆ = p/D) │ -│ E: Hopf fibration fit (n = 2f+2) │ -│ F: Regime bound (R = (n−1)×c) │ -└──────────────┬──────────────────────┘ - ↓ -┌─────────────────────────────────────┐ -│ Fingerprint Computer │ -│ n, σ, τ, D, ∆, R, fiber_type │ -└──────────────┬──────────────────────┘ - ↓ -┌─────────────────────────────────────┐ -│ Domain Matcher │ -│ Cross-references against 15 known │ -│ Hopf-portable domain templates │ -└──────────────┬──────────────────────┘ - ↓ -┌─────────────────────────────────────┐ -│ Classification Receipt │ -│ Emitted to signatures/ directory │ -│ Schema: hopf_ingest_receipt_v1 │ -└─────────────────────────────────────┘ -``` - -## VI. Known Templates - -The bridge ships with 15 pre-classified domain templates (from the 4-agent synthesis): - -| Template ID | Domain | n | σ | D | R | Quality | -|-------------|--------|---|---|---|---|---------| -| TPL-QUAT-BRAID | 8-strand braidStorm | 8 | 39/256 | 1792 | 28 | Reference | -| TPL-TOPO-INS | Hopf/Chern insulators | 8 | varies | 1792 | 28 | Strong | -| TPL-ANYON-TQC | Fibonacci anyons | 8 | φ/256 | 1792 | 28 | Deep | -| TPL-QUBO | QUBO spin glass | 8 | 39/256 | 1792 | 28 | Strong | -| TPL-ADS-CFT | AdS₄×S⁷/Zk | 8 | SO(8)/256 | 1792 | 28 | Strong | -| TPL-EXP-SUM | Kloosterman sheaves | 8 | p-adic/256 | 1792 | 28 | Strong | -| TPL-ELL-QM | Elliptic curve QM | 8 | conductor/256 | 1792 | 28 | Strong | -| TPL-CRYSTAL | Crystalline coho | 8 | L-invar/256 | 1792 | 28 | V-Strong | -| TPL-SPIN-O3 | O(3) sigma + Hopf | 8 | g/256 | 1792 | 28 | Strong | -| TPL-CLASS-FT | Class field mod 29 | 8 | regul/256 | 1792 | 28 | Strong | -| TPL-TSP | TSP | 8 | 39/256 | 1792 | 28 | Moderate | -| TPL-ILP | Integer programming | 8 | var/256 | 1792 | 28 | Moderate | -| TPL-GRAPH | Graph coloring | 4 | chrom/16 | 24 | 6 | Suggestive | -| TPL-SAT | 1-in-k SAT | 4 | clause/16 | 24 | 6 | Weak | -| TPL-REAL | Binary decisions | 2 | 1/4 | 2 | 2 | Degenerate | - -New domains can be added by providing the 6-condition metadata and verifying against the criterion. - -## VII. Implementation Plan - -1. **Python classifier** (`scripts/hopf_classifier.py`): Accepts JSON problem metadata, runs the 6 conditions, emits receipt -2. **Lean verification** (`formal/CoreFormalism/HopfFibration.lean`): Theorems `finitely_many_regimes_8` and `exotic_regime_bound` provide the formal boundary -3. **AAIngest bridge**: Wire into the existing ingest pipeline → research_stack database → RRC classification - -The classifier can automatically determine: -- `hopf_portable`: true/false -- `fiber_type`: real/complex/quaternionic/octonionic -- `fingerprint`: complete n/σ/τ/D/∆/R -- `at_ceiling`: whether this is the maximal encoding