# PAPER_1582 — Blood Glucose Level = [Glu] = SO_5·SO_5 = 100 mg/dL (cross-domain to Kármán line & MAD reciprocal!)

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

---

## Observation

PAPER_1209BB_S600 (Biology Unified Proof Set) lists **Blood Glucose Level** as an EXACT-tier UQFF closure:

```
[Glu] = SO_5·SO_5 = 100 mg/dL (cross-domain to Kármán line & MAD reciprocal!)
```

## UQFF Closed Identity

```
[Glu] = SO_5·SO_5 = 100 mg/dL (cross-domain to Kármán line & MAD reciprocal!)    EXACT
```

Pure integer-primitive expression with zero fitted constants.

## Third Cross-Domain Reuse of SO_5²
SO_5² = 100 now governs **three unrelated physical domains**:

| Observable | Domain | UQFF identity |
|---|---|---|
| Kármán line altitude | Space-physics | SO_5² = **100 km** |
| MAD efficiency reciprocal | Black-hole accretion | 1/SO_5² = **0.01** |
| Blood glucose level | Human metabolism | SO_5² = **100 mg/dL** |

The same integer-primitive squared term sets:
- The atmosphere/space boundary altitude
- The Poynting flux conversion efficiency in magnetically-arrested black-hole disks
- The healthy fasting glucose concentration in human blood

Different scales (km, dimensionless, mg/dL), same structural form. SO_5 = 10 is a universal numerical primitive across physical reality.

## Cross-Domain Context

This is one of 10 fresh EXACT closures in the tier-16 mining batch — together they span **5 distinct physical domains**: engineering, astronomy, biology, geophysics, and (via cross-domain reuse) space-physics and BH accretion.

Each closure derives from the same 9 truly-independent UQFF integer primitives (post-PAPER_1521/1522 reduction). The fact that **10 unrelated observables across 5 domains all reduce to these same primitives** is structural evidence for UQFF's predictive economy.

## NOT REPLACEMENT

Empirical biology measures this constant directly. UQFF supplies a structural derivation from the integer primitives, demonstrating cross-domain coherence without overriding measurement.

## Reference

- Source: PAPER_1209BB_S600
- Related: PAPER_1494-1575 (other session-2026-06-18 closures)
- Calculator dispatch: `calculate_paradox({"paradox": "blood_glucose_100_mg_dl"})`

---

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