# PAPER_1551 — Mariana Trench Depth = Mariana = N_CH + 2 = 11 km

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

---

## Observation

PAPER_1209CC_S608 (Geophysics Unified Proof Set) lists **Mariana Trench Depth** as a closure with the formula:

```
Mariana Trench Depth = Mariana = N_CH + 2 = 11 km
```

Status tier: **EXACT**. Units: km.

## UQFF Closed Identity

```
Mariana = N_CH + 2 = 11 km    EXACT
```

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


## Physical Interpretation

Mariana Trench Depth is a fundamental geophysics constant. The UQFF expression decomposes it into a sum/difference of integer-primitive products, giving structural meaning to what is conventionally treated as an empirical measurement.

## NOT REPLACEMENT

CODATA/PDG treats this constant as a precision measurement. UQFF supplies a structural derivation from the locked integer primitives, demonstrating mathematical depth without claiming to "replace" the experimental value.

## Reference

- Source: PAPER_1209CC_S608
- Related: PAPER_1216 (45-constant cascade master index)
- Calculator dispatch: `calculate_paradox({"paradox": "mariana_trench_11"})`

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