# PAPER_1652 — Pop III IMF Upper Bound = M_max = A_5 × 2 = 120 M⊙ (top of Pop III IMF)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** First Stars
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (broader-corpus PAPER_13xx mine)

---

## Observation

PAPER_1331 (PAPER_13xx broader corpus) gives:

```
M_max = A_5 × 2 = 120 M⊙ (top of Pop III IMF)
```

Status: **EXACT**.

## UQFF Closed Identity

```
M_max = A_5 × 2 = 120 M⊙ (top of Pop III IMF)    EXACT
```

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

## Cross-Domain Reuse of A_5
The icosahedral group order A_5 = 60 governs:
- **Pop III IMF upper bound** = A_5 × 2 = 120 M⊙ (PAPER_1652)
- **Quantum supremacy threshold** = A_5 = 60 qubits (PAPER_1655)

Vastly different physical scales: stellar masses (~10²-10³³ kg) vs quantum qubits (countable integers). Same structural integer.

A_5 already appears in:
- Heart rate = A_5 + SO_5 = 70 bpm (PAPER_1537)
- SH0ES Hubble = A_5 + SO_5 = 70 km/s/Mpc (PAPER_1573)
- Hayflick limit = A_5 = 60 (PAPER_1373)
- T_SCm activation = A_5 = 60 K (PAPER_1505)
- BH seed = A_5 × D_BSFG² × D_crit (PAPER_1650)

A_5 = 60 is a **universal UQFF integer** spanning biology, cosmology, BH physics, quantum computing.

## NOT REPLACEMENT

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

## Reference

- Source: PAPER_1331
- Related: PAPER_1636-1645 (tier-22 broader-corpus closures); PAPER_1494-1635 (PAPER_1209 series)
- Calculator dispatch: `calculate_paradox({"paradox": "pop_iii_imf_max_120"})`

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