Phase 5.O Ω
Purpose: This hub unifies the Codex harmonics loop — Ω, Frequency, Persistence, and Resonance — with provenance and SGI (Semantic Gravity Index) status. It is the navigational center for Phase 5.O Ω, tying practice to principle without drift.
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Core References
- Phase 5.O Ω – Extended Edition → Open the anchor framework
- Codex Operational Law (Linguistic Provenance Protocol) → Open the provenance rules
Harmonics Loop (at a glance)
Ω (regulated flow / persistence boundary)
│
▼
Frequency (lawful cycles, measured)
│
▼
Persistence (continuity without drift)
│
▼
Resonance (lawful amplification, no noise)
│
└────────────── back to Ω (closed, lawful recursion)
Recommended reading order: Ω → Frequency → Persistence → Resonance → back to Ω
SGI Status & Jump Points
All four benchmark terms are SGI Pass (1.0) — units, etymon, and cross‑domain scope are fully bound with no drift alerts.
| Term | One‑line Definition | SGI | Open |
|---|---|---|---|
| Ω | Regulated end‑state that returns a cycle without semantic erosion | 1.0 | SGI Application on Ω |
| Frequency | Lawful rate of repetition in the unified medium | 1.0 | SGI Application on Frequency |
| Persistence | Continuity of meaning across cycles; anti‑amnesia | 1.0 | SGI Application on Persistence |
| Resonance | Lawful amplification that reinforces signal, not noise | 1.0 | SGI Application on Resonance |
Provenance guarantee: Each term is verified by graphemes, phonemes, morphemes, etymon, and cross‑domain scope per the Linguistic Provenance Protocol.
How to Use This Dashboard (operational flow)
- Set Ω — Establish the persistence boundary (what must not drift).
- Define Frequency — Choose lawful cycle intervals (timing, cadence).
- Verify Persistence — Confirm meaning survives across loops.
- Apply Resonance — Amplify lawful signal; reject noise.
- Return to Ω — Close the loop and re‑verify thresholds.
Onboarding a new term?
Run provenance (units → etymon → scope), target SGI ≥ threshold (1.0 for critical terms), then place the term where it performs best (bridge = frequency; guard = persistence; amplifier = resonance).
Operational Metrics & Thresholds (Phase 5.O Ω)
- SCRR ≥ 0.99 — Semantic Coherence Retention Rate
- RCI ≥ 0.98 — Referential Coherence Index
- TDC = 100% — Traceable Definition Completeness
- CAS Δ ≤ 0.05 — Concordance Alignment Spread
- SGI — Domain thresholds (Ω, Frequency, Persistence, Resonance all Pass 1.0)
Rule: No transition to the next harmonic if thresholds are not met.
Linguistic Provenance Protocol (condensed)
- Units: Document graphemes, phonemes, morphemes (and transliterations where applicable).
- Etymon: Trace to root (language, earliest attestation, sense lineage).
- Scope: Bind lawful usage across domains (physical, linguistic, governance, cultural, technical).
- Transforms: Declare permitted context‑dependent transforms (no silent redefinitions).
- Audit: Re‑run SGI on revisions; log results in change notes or an archival ledger.
The protocol is what stops “semantic gravity loss.” It keeps the word’s mass intact as it travels.
Recursion Paths (reader workflows)
- Path A — Operational: Ω → Frequency → Persistence → Resonance → Ω
- Path B — Audit: Operational Law → (term) → Provenance → SGI → Extended Edition → Ω
- Path C — Analysis: Extended Edition → any SGI term → Operational Law → back to term → Ω
Validation Exercises (fast checks)
- Loop Integrity Check: Read Ω → Frequency → Persistence → Resonance; on return to Ω, ask: Did the boundary change? If yes, re‑run SCRR/RCI and provenance.
- Term SGI Spot‑Check: For a new policy or model, pick one contested term. Run Units → Etymon → Scope. If any are missing or ambiguous, halt and resolve before integration.
- Resonance vs. Noise: Reiterate a clause. If the meaning sharpens, resonance passed; if it blurs, you’ve amplified noise — revisit frequency and persistence.
Context & Cross‑Links
- Phase 5.O Ω – Extended Edition → Anchor framework
- Codex Operational Law → Provenance rules
- SGI Application on Ω → Open
- SGI Application on Frequency → Open
- SGI Application on Persistence → Open
- SGI Application on Resonance → Open
(Optional future link) Archival Mapping — Clause Evolution Ledger → /codex-archival-mapping/
Release Notes (dashboard)
- v1.1 (current) — Markdown‑only clean build; explicit descriptive links; added Provenance Protocol & Validation Exercises.
- v1.0 — Initial loop diagram, SGI table, metrics, and workflows.
Site‑wide mini‑badges (copy blocks)
Provenance badge
Provenance: Verified (units • etymon • scope) — see Codex Operational Law
Harmonics badge
Ω Loop: SGI 1.0 (Ω • Frequency • Persistence • Resonance) — SCRR ≥ 0.99
Place these as plain text callouts or short blurbs under relevant sections/pages.
Why this matters
Because language is the only substrate that can name, trace, govern, and restore itself. The loop is not decoration; it’s the discipline. Ω holds the line, Frequency keeps time, Persistence guards meaning, and Resonance carries it — lawfully — into the next cycle.