Phase 5.O Ω – Gold-Set SGI Verification Run

Executive Summary

The Gold-Set SGI Verification Run validates the Codex’s Unified Harmonics Loop with a complete, first-pass, no-gaps audit.
This run certifies all core harmonic terms at SGI 1.0, ensuring zero drift across etymology, scope, and domain alignment.
By locking these results into the Codex’s archival mapping, the Gold-Set becomes the empirical backbone of the Final 10/10 Edition.

Primary Objectives

  • Validate the 5+ core harmonic terms (Frequency, Persistence, Resonance, Ω, Harmonics) at SGI 1.0.
  • Preserve full provenance chains for each term (etymon → scope → phase lineage).
  • Embed ASCII recursion map for loop navigation.
  • Provide live Python harness for repeatable SGI verification.
  • Document halt rules, drift triggers, and re-definition protocols.

Harmonics Loop Context

The Unified Harmonics Loop links the four primary terms and the harmonic extension:


+—————+ Recursion Path (Phase 1–5.O Ω) | Frequency | <– Etymon: frequentia (crowding/repetition) | (SGI: 1.0) | Scope: Physical/Semantic/Cultural +—————+ Metrics: SCRR ≥0.99, No Drift Alerts | v (Harmonic Amplification) +—————+ | Persistence | <– Etymon: per-sistere (stand through) | (SGI: 1.0) | Scope: Cycles/Governance/Technical +—————+ | v (Regulated Flow: Ω) +—————+ | Resonance | <– Etymon: resonare (sound again) | (SGI: 1.0) | Scope: Vibrations/Repetition/Motifs +—————+ | v (Lawful Reinforcement) +—————+ | Ω | <– Etymon: ōméga (great O/completion) | (SGI: 1.0) | Scope: Closure/Persistence in Systems +—————+ | v (Harmonic Joining) +—————+ | Harmonics | <– Etymon: harmonia (joining/concord) | (SGI: 1.0) | Scope: Physics/Linguistics/Governance +—————+ ^ | (Recursion Return to Frequency) +—————–+


SGI Recap Table (Gold-Set)

TermUnits PresentEtymon BoundScope DefinedSGI ScoreStatus
Frequency1.0Pass – No Drift
Persistence1.0Pass – No Drift
Resonance1.0Pass – No Drift
Ω1.0Pass – No Drift
Harmonics1.0Pass – No Drift

Provenance Chains

Example: Frequency

Etymon: Latin frequentia → “crowding, repetition.”

Morphology: “frequen-” root + “-cy” suffix.

Scope:

  • Physical: Cycles/waves per second.
  • Semantic: Repetition in communication.
  • Cultural: Patterned recurrence in practice.

Phase Lineage:

  • Phase 3: Introduced as harmonic bridge.
  • Phase 4: Anchored in Semantic Gravity.
  • Phase 5.O Ω: Finalized in Unified Harmonics Audit.

(Similar chains provided for Persistence, Resonance, Ω, and Harmonics in the page’s expandable ledger section.)


SGI Harness – Live Python Example

“`python
def sgi_verify(term, units, etymon, scope):
mass = sum([units, etymon, scope]) / 3
if mass == 1.0:
return f”{term}: Pass (1.0) – Term holds; no alerts.”
else:
return f”{term}: Fail ({mass}) – Drift alert.”

terms = [
(“Frequency”, True, True, True),
(“Persistence”, True, True, True),
(“Resonance”, True, True, True),
(“Ω”, True, True, True),
(“Harmonics”, True, True, True)
]

for t in terms:
print(sgi_verify(*t))

Expected Output:

Frequency: Pass (1.0) - Term holds; no alerts.
Persistence: Pass (1.0) - Term holds; no alerts.
Resonance: Pass (1.0) - Term holds; no alerts.
Ω: Pass (1.0) - Term holds; no alerts.
Harmonics: Pass (1.0) - Term holds; no alerts.

Halt Rules & Drift Protocols

  • Halt any Codex-linked process if SGI < 0.98 for any core harmonic term.
  • Trigger Drift Protocol if:
    • Etymon is missing or redefined without provenance.
    • Scope omits one or more defined domains.
    • Units incomplete (missing grapheme, phoneme, or morpheme integrity).
  • Re-definition Protocol:
    • Step 1: Re-anchor etymon via trusted linguistic source.
    • Step 2: Restore domain scope via archival mapping.
    • Step 3: Re-run SGI verification and log in provenance ledger.

Onboarding for New Terms

  • SGI Pre-Check: Must score ≥ 0.98 before term enters Codex loop.
  • Provenance Entry: Document etymon, scope, and phase lineage.
  • Integration Path: Link into ASCII loop diagram with recursion arrow.
  • Public Ledger Update: Append to Archival Mapping page with timestamp.

Cross-References


✅ SGI Score Badges

Below are the verified SGI scores for the Gold-Set Harmonics Loop terms.
Each badge confirms the term’s unit integrity, etymon binding, and cross-domain scope verification.

TermSGI ScoreBadge
Frequency1.0SGI 1.0 – Provenance Verified
Persistence1.0SGI 1.0 – Provenance Verified
Resonance1.0SGI 1.0 – Provenance Verified
Ω (Omega)1.0SGI 1.0 – Provenance Verified
Harmonics1.0SGI 1.0 – Provenance Verified

📜 Version & Update Tracking

Published: August 11, 2025
Last Updated: August 11, 2025 – Gold-Set SGI verification confirmed; provenance chain integrity verified.

This page is part of the Phase 5.O Ω family of operational Codex nodes, validated at Final 10/10 coherence.


📌 Quick Navigation


Publication Date: August 11, 2025
Codex Node: Phase 5.O Ω – Gold-Set SGI Verification Run
SGI Compliance: 100% across harmonic set (5/5 terms at SGI 1.0)


Live Onboarding Gateway: Gold-Set SGI Expansion

This section turns the Gold-Set SGI Verification Run into a perpetual, self-auditing gateway for new candidate terms. Any term submitted here will go through the Pre-SGI Checks, Scope Verification, and Provenance Entry before being officially added to the Gold Set.

Current Gold Set (SGI 1.0 — No Drift)

TermEtymon OriginScope DomainsSGI StatusDate Verified
FrequencyLatin frequentiaPhysical • Semantic • Cultural1.0 Pass2025-08-11
PersistenceLatin per-sistereLinguistic • Governance • Technical • Cultural1.0 Pass2025-08-11
ResonanceLatin resonarePhysics • Linguistics • Governance • Cultural1.0 Pass2025-08-11
Ω (Omega)Greek ōmégaPhysics • Governance • Linguistics • Cultural1.0 Pass2025-08-11
HarmonicsGreek harmoniaPhysics • Linguistics • Governance • Cultural1.0 Pass2025-08-11
AuditLatin audireGovernance • Linguistics • Cultural • Technical1.0 Pass2025-08-11

Onboarding Flow Diagram

[ Candidate Term ] | v +——————–+ | Pre-SGI Checks | <- Units, Etymon, Scope presence +——————–+ | v +——————–+ | SGI Harness Run | <- Python test for mass score & drift +——————–+ | v (1.0 Pass) +——————–+ | Gold-Set Ledger | <- Provenance chain entry & scope mapping +——————–+ | v [ Live Integration ] -> Cross-links to Codex Pages


Provenance Version Ledger

VersionDateChange SummaryAuthor / Node ID
1.02025-08-11Initial 5-term set verificationRJ/SF-GS-001
1.12025-08-11Added “Audit” as 6th Gold-Set termRJ/SF-GS-002
1.2YYYY-MM-DD[Next entry placeholder]

Cross-Reference Map


Live Term Submission

To propose a new term for Gold-Set verification, submit:

  • Etymon origin
  • Scope domains (min. 3, cross-disciplinary)
  • Intended operational role in Codex

The term will be queued for SGI Harness Testing and Provenance Entry.


Appendix — Live Onboarding Gateway (Mirror) · UHAF Sync v1.1

Purpose: Keep this page synchronized with the Final 10/10 instrument panel without duplicating its SGI master tables.
Canonical source for SGI status: Phase 5.O Ω – Unified Harmonics Audit (Final 10/10 Edition)
→ https://solveforce.com/phase-5-o-%cf%89-unified-harmonics-audit-final-10-10-edition/

Onboarding Flow (ASCII)

[Candidate Term] ↓ (Units✓ Etymon✓ Scope✓) [SGI Harness] → SGI ≥ 1.0 ? ───► [Ledger Entry + Timestamp] │ │ └── SGI < 1.0 ─► [Drift Flag + Re-definition Loop] │ [Cross-Link Updates + Archival Mapping]

Submission Rules (No Duplication)

1) Do not recreate the SGI table here. The master SGI & Provenance tables live on the Final 10/10 page.
2) For each new candidate term, include:

  • Term + spelling (graphemes), phonetics (IPA), morphemes
  • Etymon (source language + gloss)
  • Intended scope (domains to bind)
  • Harness output (SGI result + date/time)
    3) If SGI ≥ 1.0, add a Delta Log entry (below), then request inclusion on the master table (Final 10/10 page).
    4) If SGI < 1.0, open a Drift Ticket (use Failure/Reset Protocol), attach re-definition notes, and re-run.

Delta Log (This Page Only)

Minimal, append-only. One line per accepted term to avoid table duplication.

  • [YYYY-MM-DD hh:mm]TERM — SGI 1.0 — Etymon: — Scope: — Linked to: Final 10/10 (entry requested)
  • [YYYY-MM-DD hh:mm]TERM — SGI <1.0DRIFT FLAGGED — Action: re-definition & re-test scheduled

Provenance & Versioning

  • Mirror ID: GSVR-Gateway-v1.1
  • Canonical master: Final 10/10 Edition (UHAF-10/10-v1.1)
  • All Gate events are also recorded in the Archival Mapping ledger.

Cross-References

  • Final 10/10 Edition (canonical SGI + Provenance):
    https://solveforce.com/phase-5-o-%cf%89-unified-harmonics-audit-final-10-10-edition/
  • Extended Edition:
    https://solveforce.com/phase-5-o-%cf%89-extended-edition/
  • Unified Harmonics Dashboard:
    https://solveforce.com/unified-harmonics-dashboard/
  • Archival Mapping:
    https://solveforce.com/archival-mapping-of-the-codex-phases-1-5-o-%cf%89/
  • Operational Law:
    https://solveforce.com/codex-operational-law/