# **DSLO v0.8 — Runtime Geometry Surface**  
**Version:** 0.8  
**DOI:** (Runtime Surface DOI placeholder until assignment)  
**Meta‑Class:** RT0 — Runtime Geometry

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## **1. Purpose of This Surface**
The **Runtime Geometry Surface** defines the geometric primitives used to model **runtime curvature**, **runtime drift**, **runtime stability**, **runtime boundaries**, and **runtime coherence** across all DSLO meta‑classes.

It is one of the twelve lawful geometry surfaces included in the **DSLO v0.8 Federated Geometry Expansion**.

This surface is:

- **strictly additive**  
- **geometry‑only**  
- **substrate‑derived**  
- **invariant‑preserving**  
- **non‑runtime (no execution)**  
- **non‑agentic**  
- **public‑layer safe**  

It introduces **no physics**, **no substrate‑skin**, **no Umbrella 12**, and **no v0.9 references**.

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## **2. Scientific Role**
The Runtime Geometry Surface provides the geometric vocabulary required to model:

### **Runtime Curvature Geometry**
How runtime behavior bends, stabilizes, or deforms under drift, load, or cross‑domain pressure.

### **Runtime Drift Channels**
How runtime behavior drifts lawfully across transitions, instability, or environmental change.

### **Runtime Stability Envelopes**
How runtime maintains lawful stability under internal or external load.

### **Runtime Boundary Geometry**
How runtime boundaries are maintained, crossed, or stabilized.

### **Runtime Coherence Fields**
How runtime maintains coherence across multi‑domain geometry.

These primitives support:

- runtime‑field modeling  
- lawful runtime drift propagation  
- runtime‑boundary stabilization  
- runtime‑coherence geometry  
- federated thermodynamic ecology  

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## **3. Lineage**
This surface inherits **exclusively** from the DSLO v0.7 substrate and manifold suite.

### **Derived From — Six v0.7 Substrate DOIs**
- 10.5281/zenodo.21939329  
- 10.5281/zenodo.21939562  
- 10.5281/zenodo.21938890  
- 10.5281/zenodo.21939121  
- 10.5281/zenodo.21939455  
- 10.5281/zenodo.21939671  

### **Supplemented By — v0.7 Scientific Overview**
- 10.5281/zenodo.22181245  

### **Referenced By**
- **[https://www.tnopsi.com](https://www.tnopsi.com)**

### **Described By**
- **`https://www.tnopsi.com/dslo-glossary` [(tnopsi.com in Bing)](https://www.bing.com/search?q="https%3A%2F%2Fwww.tnopsi.com%2Fdslo-glossary")**  
  (tnopsi.com in Bing)

These are the **only lawful lineage anchors** permitted for any v0.8 surface.

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## **4. Geometry Primitives**
The Runtime Geometry Surface defines the following lawful primitives:

### **RT1 — Runtime Curvature Geometry**
Curvature envelopes for runtime behavior across drift, collapse, and restoration.

### **RT2 — Runtime Drift Channels**
Drift channels for runtime transitions under load, instability, or environmental change.

### **RT3 — Runtime Stability Envelopes**
Stability envelopes for runtime behavior under load, drift, and systemic pressure.

### **RT4 — Runtime Boundary Geometry**
Boundary structures for runtime transitions and coherence.

### **RT5 — Runtime Coherence Fields**
Coherence fields enabling lawful runtime behavior across multi‑domain geometry.

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## **5. Invariant Families**
This surface stabilizes the following invariant families:

### **IF‑RT1 — Runtime Stability Invariants**
Ensure stability across runtime curvature and drift geometry.

### **IF‑RT2 — Runtime Continuity Invariants**
Ensure continuity across runtime drift channels and stability envelopes.

### **IF‑RT3 — Runtime Preservation Invariants**
Ensure identity and coherence preservation across lawful runtime transitions.

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## **6. Continuity Bands**
The surface defines two continuity bands:

### **CB‑RT1 — Runtime Continuity Band**
Ensures lawful continuity across runtime stability and drift geometry.

### **CB‑RT2 — Runtime Boundary Continuity Band**
Ensures continuity across runtime‑boundary geometry.

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## **7. Alignment Targets**
This surface aligns with:

- geometry surfaces  
- domain surfaces  
- invariant surfaces  
- mapping surfaces  
- registry surfaces  
- ecology geometry  
- federated geometry  

It does **not** introduce runtime execution or agentic transitions.

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## **8. Legality & Posture**
This surface follows all v0.8 legality constraints:

- geometry‑only  
- strictly additive  
- substrate‑derived  
- invariant‑preserving  
- non‑runtime (no execution)  
- non‑agentic  
- public‑layer safe  
- no references to v0.9  
- no references to physics or substrate‑skin  
- no references to Umbrella 12  
- no references to sibling v0.8 artifacts  

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## **9. Continuity Statement**
The Runtime Geometry Surface:

- inherits exclusively from DSLO v0.7  
- extends geometry only  
- preserves all invariants  
- introduces no substrate modifications  
- remains fully lawful under DSLO v0.8  
- provides runtime‑class geometric vocabulary for federated geometry  

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## **10. Generation Metadata**
Generated by: **DSLO Discipline — Federated Geometry Working Group**  
Version: **v0.8**  
Date: **2026‑09‑16**  
Status: **Lawful, Substrate‑Derived, Geometry‑Only**