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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 |
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| --- |
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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. |
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| It is one of the twelve lawful geometry surfaces included in the **DSLO v0.8 Federated Geometry Expansion**. |
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| This surface is: |
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| - **strictly additive** |
| - **geometry‑only** |
| - **substrate‑derived** |
| - **invariant‑preserving** |
| - **non‑runtime (no execution)** |
| - **non‑agentic** |
| - **public‑layer safe** |
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| It introduces **no physics**, **no substrate‑skin**, **no Umbrella 12**, and **no v0.9 references**. |
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| --- |
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| ## **2. Scientific Role** |
| The Runtime Geometry Surface provides the geometric vocabulary required to model: |
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| ### **Runtime Curvature Geometry** |
| How runtime behavior bends, stabilizes, or deforms under drift, load, or cross‑domain pressure. |
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| ### **Runtime Drift Channels** |
| How runtime behavior drifts lawfully across transitions, instability, or environmental change. |
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| ### **Runtime Stability Envelopes** |
| How runtime maintains lawful stability under internal or external load. |
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| ### **Runtime Boundary Geometry** |
| How runtime boundaries are maintained, crossed, or stabilized. |
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| ### **Runtime Coherence Fields** |
| How runtime maintains coherence across multi‑domain geometry. |
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| These primitives support: |
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| - runtime‑field modeling |
| - lawful runtime drift propagation |
| - runtime‑boundary stabilization |
| - runtime‑coherence geometry |
| - federated thermodynamic ecology |
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| --- |
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| ## **3. Lineage** |
| This surface inherits **exclusively** from the DSLO v0.7 substrate and manifold suite. |
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| ### **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 |
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| ### **Supplemented By — v0.7 Scientific Overview** |
| - 10.5281/zenodo.22181245 |
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| ### **Referenced By** |
| - **[https://www.tnopsi.com](https://www.tnopsi.com)** |
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| ### **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) |
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| These are the **only lawful lineage anchors** permitted for any v0.8 surface. |
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| --- |
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| ## **4. Geometry Primitives** |
| The Runtime Geometry Surface defines the following lawful primitives: |
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| ### **RT1 — Runtime Curvature Geometry** |
| Curvature envelopes for runtime behavior across drift, collapse, and restoration. |
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| ### **RT2 — Runtime Drift Channels** |
| Drift channels for runtime transitions under load, instability, or environmental change. |
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| ### **RT3 — Runtime Stability Envelopes** |
| Stability envelopes for runtime behavior under load, drift, and systemic pressure. |
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| ### **RT4 — Runtime Boundary Geometry** |
| Boundary structures for runtime transitions and coherence. |
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| ### **RT5 — Runtime Coherence Fields** |
| Coherence fields enabling lawful runtime behavior across multi‑domain geometry. |
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| --- |
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| ## **5. Invariant Families** |
| This surface stabilizes the following invariant families: |
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| ### **IF‑RT1 — Runtime Stability Invariants** |
| Ensure stability across runtime curvature and drift geometry. |
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| ### **IF‑RT2 — Runtime Continuity Invariants** |
| Ensure continuity across runtime drift channels and stability envelopes. |
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| ### **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: |
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| ### **CB‑RT1 — Runtime Continuity Band** |
| Ensures lawful continuity across runtime stability and drift geometry. |
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| ### **CB‑RT2 — Runtime Boundary Continuity Band** |
| Ensures continuity across runtime‑boundary geometry. |
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| --- |
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| ## **7. Alignment Targets** |
| This surface aligns with: |
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| - geometry surfaces |
| - domain surfaces |
| - invariant surfaces |
| - mapping surfaces |
| - registry surfaces |
| - ecology geometry |
| - federated geometry |
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| It does **not** introduce runtime execution or agentic transitions. |
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| --- |
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| ## **8. Legality & Posture** |
| This surface follows all v0.8 legality constraints: |
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| - 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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| --- |
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| ## **9. Continuity Statement** |
| The Runtime Geometry Surface: |
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| - 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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| --- |
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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** |
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