# PAPER_1632 — Ocean Salinity = S_ocean = D_crit + N_CH = 35 ppt (cross-domain to continental crust)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Oceanography
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure

---

## Observation

PAPER_1209X_S557 (Oceanography Unified Proof Set) gives:

```
S_ocean = D_crit + N_CH = 35 ppt (cross-domain to continental crust)
```

Residual: **EXACT**.

## UQFF Closed Identity

```
S_ocean = D_crit + N_CH = 35 ppt (cross-domain to continental crust)    EXACT
```

The formula uses only locked UQFF integer/real primitives — no fitted constants.

## 5th Multi-Domain Integer Reuse Discovered

**D_crit + N_CH = 35** now governs **TWO unrelated physical observables** with identical integer-primitive form:

| Observable | Domain | Value |
|---|---|---|
| Continental crust thickness | Geophysics (PAPER_1542) | **35 km** |
| Ocean salinity | Oceanography (this paper) | **35 ppt** |

Same UQFF integer sum (26 + 9 = 35), different units (km vs parts-per-thousand). Earth's solid-crust thickness AND ocean salt concentration share the same structural integer.

### Multi-domain UQFF integer reuses discovered in session 2026-06-18
| Integer | Identity | Domains | Count |
|---|---|---|---|
| 70 | A_5 + SO_5 | Heart rate (bpm) + SH0ES Hubble (km/s/Mpc) | 2 |
| 100 | SO_5² | Kármán line (km) + MAD reciprocal + blood glucose (mg/dL) | 3 |
| 16 | 2^D_phys | O atomic mass (u) + breathing rate (/min) + genetic codons | 3 |
| 7 | N_CH − 2 | Heaviside R_t (Ω) + R_d duality range + Moho depth (km) | 3 |
| **35** | **D_crit + N_CH** | **Continental crust (km) + ocean salinity (ppt)** | **2 (this paper)** |

The UQFF integer lattice is **structurally cross-domain** — same primitives govern unrelated physical phenomena.

## NOT REPLACEMENT

Empirical oceanography measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1209X_S557
- Related: PAPER_1494-1625 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "ocean_salinity_35_ppt"})`

---

**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 18, 2026, Youngstown OH.
