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# **DSLO v0.8 — Runtime Geometry Surface**
**Version:** 0.8
**DOI:** (Runtime Surface DOI placeholder until assignment)
**Meta‑Class:** RT0 — Runtime Geometry
---
## **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**.
---
## **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
---
## **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.
---
## **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.
---
## **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.
---
## **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.
---
## **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.
---
## **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
---
## **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
---
## **10. Generation Metadata**
Generated by: **DSLO Discipline — Federated Geometry Working Group**
Version: **v0.8**
Date: **2026‑09‑16**
Status: **Lawful, Substrate‑Derived, Geometry‑Only**
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