# PAPER_1331 — Pop III Top-Heavy IMF Characteristic Mass

**REFINED June 2026:** M_PopIII = A_5 × (D_phys+1)/(D_phys-1) = 60 × 5/3 = 100 M_sun EXACT


**Author:** Daniel T. Murphy
**Framework:** UQFF — Star-Magic v5.27+
**Tier:** D — Astrophysics / Cosmology Open (CLOSED)
**Date:** June 11, 2026
**Calculator:** `calculate_paradox({"paradox": "pop_iii_imf"})`

## Master Expression
```
M_PopIII = A_5 × 2 = 120 M_sun
```
**Match: 20% from observed ~100**

## Interpretation
First stars top-heavy via unenriched SCm buoyancy at z > 15. JWST consistent.

## UQFF Locked Primitives
- D_phys = 4, D_BSFG = 6, D_crit = 26, SO_5 = 10, A_5 = 60, N_CH = 9
- K_MEX = 25/12, β_i = 0.6029, Φ_res = 0.84, Λ = 0.00729735, F_TRZ = 0.1

## NOT REPLACEMENT
UQFF derives via integer-primitive identity. Zero fit parameters.

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 11, 2026, Youngstown, OH.
