Dimensional Overlay · S3 Spine · TriadicFrameworks

Path: docs/spine/dimensional_overlay.md
Publication URL: triadicframeworks.org/spine/dimensional
Pack: Spine Overlay Pack v2.0 · Updated 2026-08-02

Session Context#

1 · Overlay Identity#

1.1 Purpose#

The Dimensional Overlay maps all prior overlay signals — structural, drift, coherence, and substrate — across the cross-cutting dimensional axes of a system. Where earlier overlays ask what is breaking, how fast is it moving, does it hold together, and can the ground support it, the Dimensional Overlay asks: across which dimensions do these conditions resonate, interfere, or amplify one another? It is the multi-axis projection layer: it takes the full four-overlay signal stack and renders it as a dimensional resonance field, revealing which axes are in harmonic alignment and which are in destructive interference.

1.2 Position in S3 Spine#

The Dimensional Overlay is the fifth overlay in the canonical S3 Spine sequence. It requires all four preceding overlays (Structural, Drift, Coherence, Substrate) to be complete before it initializes. It produces a Dimensional Resonance Map (DRM) — the cross-axis projection of the full overlay stack — which is the primary input to the final Domain Overlay.

1.3 Canonical Role#

• Resonance detector: identifies dimensional axes where multiple overlay signals reinforce one another (resonance zones) or cancel each other (interference zones).
• Cross-axis signal projector: maps 1D signals from individual overlays onto the full IPD-12 dimensional space.
• Amplification tracer: flags dimensions where weak signals from one overlay become amplified by coupling with signals from another.
• Gateway to Domain Overlay: the DRM is the primary input that enables the Domain Overlay to apply spine diagnostics to any specific domain.

2 · Primary RTT Engines#

3 · Module Registry#

4 · Dimensional Logic#

4.1 Detection Pipeline#

[Structural Frame + Drift Report + Coherence Report + Substrate Report]
    → Dimensional Resonance Scanner    (12-axis resonance field computation)
    → Cross-Domain Causality Weaver    (cross-dimensional causality tracing)
    → Paradox Gradient Analyzer        (interference zone resolution)
    → Temporal Regime Sequencer        (phase-transition time-stamping)
    → Triadic Regime Synthesizer       (DRM embedded in synthesized output)
    → [Dimensional Resonance Map → Domain Overlay]

4.2 Signal Flow#

Phase 1 — Stack Projection: The Dimensional Resonance Scanner ingests all four prior overlay reports and projects each signal onto the IPD-12 dimensional grid. For each of the 12 axes, it computes a dimensional signal vector — the composite of structural criticality, drift magnitude, coherence index, and substrate saturation on that axis.

Phase 2 — Resonance Field Computation: The scanner computes pairwise resonance coefficients between all axis pairs (12 × 11 / 2 = 66 pairs). A positive resonance coefficient indicates that the two axes are reinforcing one another's signals (amplification). A negative coefficient indicates destructive interference (one axis's signals partially cancel the other's). Axes with resonance coefficients above +0.70 form resonance clusters — zones where problems (or recoveries) self-amplify. Axes with coefficients below −0.40 form interference zones — zones where competing signals may mask genuine system states.

Phase 3 — Causality Tracing: The Cross-Domain Causality Weaver traces causal chains across dimensional boundaries — identifying where a signal on axis i is the cause of a signal on axis j, rather than an independent reading. This de-correlates the resonance field and provides a directed causality graph over the 12-axis space.

Phase 4 — Interference Resolution: The Paradox Gradient Analyzer is applied to interference zones. It identifies the dominant gradient direction on each contested axis, resolving which overlay signal should be treated as primary for that dimension.

Phase 5 — DRM Publication: The final Dimensional Resonance Map is a 12×12 signed matrix annotated with resonance clusters, interference zones, causality directions, and a per-axis composite score. It is published to the Spine bus and passed as the primary input to the Domain Overlay.

4.3 Dimensional State Machine#

4.4 Dimensional Metrics#

5 · Cross-Links#

5.1 UI Overlays#

• dimensional-ui — 12×12 resonance matrix heatmap; cluster highlights; interference zone markers
• resonance-cluster-panel — Active resonance cluster list with amplification factors
• causality-graph-ui — Directed causality graph visualization over 12-axis space
• axis-composite-panel — Per-axis composite scores with overlay signal breakdown
• drm-export — Dimensional Resonance Map export (JSON + visual)

5.2 RTT Engines (Full Dimensional Constellation)#

5.3 Module Structures#

• Substrate Overlay — Upstream: provides substrate report
• Coherence Overlay — Upstream: provides coherence report
• Drift Overlay — Upstream: provides drift report
• Structural Overlay — Upstream: provides structural frame
• Domain Overlay — Downstream: receives DRM as primary input
• IPD-12 Framework — Dimensional coordinate system
• Triadic Detection — Signal extraction across dimensions
• Pantheons Module — Multi-agent per-dimension role assignment

6 · Signal Vocabulary#

7 · Integration Map#

flowchart TD
    A[Structural Frame] --> E[Dimensional Resonance Scanner]
    B[Drift Report] --> E
    C[Coherence Report] --> E
    D[Substrate Report] --> E
    F[IPD-12 Framework] --> E
    E --> G{Resonance Clusters?}
    G -- Yes --> H[Cluster Amplification Alert]
    G --> I[Cross-Domain Causality Weaver]
    E --> J{Interference Zones?}
    J -- Yes --> K[Paradox Gradient Analyzer]
    J -- No --> L[Temporal Regime Sequencer]
    K --> L
    H --> L
    I --> L
    L --> M[Dimensional Resonance Map Published]
    M --> N[Domain Overlay]
    M --> O[Triadic Regime Synthesizer - DRM Embedded]
 
    style E fill:#1a5276,color:#fff
    style H fill:#e74c3c,color:#fff
    style M fill:#27ae60,color:#fff
    style O fill:#2980b9,color:#fff

8 · Publication Notes#

Slug: triadicframeworks.org/spine/dimensional
Meta Title: Dimensional Overlay · S3 Spine · TriadicFrameworks
Meta Description: The Dimensional Overlay maps all prior overlay signals across 12 IPD axes, producing the Dimensional Resonance Map. Primary engine: Dimensional Resonance Scanner. Requires all four prior overlays.
Tags: dimensional · s3-spine · resonance · ipd-12 · cross-axis · drm · causality · rtt
Cross-Pack Links: Substrate Overlay · Domain Overlay · Structural Overlay · Drift Overlay · Coherence Overlay
Status: Publication-ready · v2.0 · 2026-08-02