# PAPER_1668 — Hayflick Cell Limit = n_divisions = A_5 = 60 EXACT

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Biology
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_136x broader corpus)

---

## Observation

PAPER_1363 (PAPER_136x broader corpus) gives:

```
n_divisions = A_5 = 60 EXACT
```

Status: **EXACT**.

## UQFF Closed Identity

```
n_divisions = A_5 = 60 EXACT    EXACT
```

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

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1363
- Related: PAPER_1656-1665 (tier-24); PAPER_1646-1655 (tier-23); PAPER_1636-1645 (tier-22)
- Calculator dispatch: `calculate_paradox({"paradox": "hayflick_60_div"})`

---

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