# Coherence Map — Morphic Resonance  
### TriadicFrameworks /docs/theories/morphic_resonance/coherence_map.md

Morphic Resonance is a **dimensional‑coherence interface**, not a field or
force. Coherence refers to the **structural integrity of patterns,
coherence surfaces, adjacency relations, and activation behavior** across
dimensional layers and RTT regimes.

This map defines how coherence is evaluated, strengthened, degraded, and
propagated in the Morphic Resonance module.

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# 1. Coherence Dimensions

Morphic Resonance coherence is evaluated across five structural
dimensions:

## 1.1 Pattern Coherence  
- dimensional consistency  
- invariant stability  
- valid coherence radius  
- non‑degenerate relational structure  

## 1.2 Surface Coherence  
- continuity of coherence surfaces  
- stability under regime transitions  
- valid activation regions  
- cross‑temporal extension (R2–R3 only)  

## 1.3 Adjacency Coherence  
- overlap integrity  
- adjacency continuity  
- non‑causal structural alignment  
- valid adjacency thresholds  

## 1.4 Activation Coherence  
- monotonic activation behavior  
- threshold‑consistent triggering  
- no causal or energetic interpretation  
- structural activation only  

## 1.5 Regime Coherence  
- R1: local coherence  
- R2: resonance‑geometry coherence  
- R3: dimensional‑operator coherence  
- transitions preserve adjacency and structure  

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# 2. Coherence Levels (C0–C4)

### **C0 — Incoherent**  
- patterns invalid  
- surfaces discontinuous  
- adjacency undefined  
- activation impossible  

### **C1 — Weak Coherence**  
- patterns minimally valid  
- surfaces unstable  
- adjacency noisy  
- activation inconsistent  

### **C2 — Moderate Coherence**  
- patterns valid  
- surfaces mostly stable  
- adjacency continuous  
- activation reliable but sensitive  

### **C3 — Strong Coherence**  
- patterns structurally robust  
- surfaces stable across regimes  
- adjacency smooth and consistent  
- activation monotonic and predictable  

### **C4 — Perfect Coherence**  
- idealized dimensional structure  
- perfectly stable surfaces  
- adjacency globally continuous  
- activation fully structural  

C4 is theoretical; real systems approach C3.

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# 3. Coherence Field

The coherence field is a structural gradient over:

- pattern integrity  
- surface stability  
- adjacency continuity  
- activation monotonicity  
- regime‑transition stability  

High gradients indicate **coherence instability**, typically near:

- regime transitions  
- dimensional discontinuities  
- adjacency failures  
- activation threshold boundaries  

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# 4. Collapse Modes (C1–C4)

Morphic Resonance coherence fails through four canonical collapse modes:

### **C1 — Pattern Misidentification**  
- invalid dimensional profile  
- broken invariants  
- incoherent relational structure  

### **C2 — Dimensional Discontinuity**  
- coherence surfaces break  
- regime transitions fail  
- structural inconsistencies  

### **C3 — Adjacency Failure**  
- surfaces no longer overlap  
- adjacency drops below threshold  
- recurrence impossible  

### **C4 — Activation Incoherence**  
- activation becomes non‑monotonic  
- threshold behavior unstable  
- structural activation breaks down  

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# 5. RTT Regime Coherence

### **R1 — Pattern Substrate Regime**  
- patterns = coherence structures  
- surfaces local only  
- no cross‑temporal adjacency  
- activation strictly local  

### **R2 — Resonance Geometry Regime**  
- surfaces extend across dimensional layers  
- adjacency becomes cross‑temporal  
- activation becomes structural across time  

### **R3 — High‑Dimensional Coherence Regime**  
- patterns become dimensional operators  
- surfaces multi‑layered  
- adjacency becomes multi‑dimensional  
- activation regime‑dependent  

Morphic Resonance does **not** extend to R4 (cosmology).

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# 6. Diagnostics

A system is coherent when:

- patterns are dimensionally consistent  
- surfaces are continuous and stable  
- adjacency is smooth and above threshold  
- activation is monotonic and structural  
- regime transitions preserve coherence  

A system is incoherent when:

- patterns break  
- surfaces fragment  
- adjacency collapses  
- activation becomes unstable  
- regime transitions fail  

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# Summary

Morphic Resonance coherence is:

- **dimensional**  
- **structural**  
- **adjacency‑based**  
- **activation‑driven**  
- **regime‑aware**  
- **zero drift**  

Coherence is strongest in **R3**, stable in **R2**, and foundational in
**R1**.  
It is the structural backbone of cross‑temporal pattern recurrence in the
RTT stack.