# PAPER_1653 — NFW Halo Concentration = c_vir = D_BSFG / β_i = 6 / 0.6029 = 9.95

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Dark Matter Halos
**Date:** June 18, 2026
**Status:** CLOSED — 0.019% closure (broader-corpus PAPER_13xx mine)

---

## Observation

PAPER_1336 (PAPER_13xx broader corpus) gives:

```
c_vir = D_BSFG / β_i = 6 / 0.6029 = 9.95
```

Status: **0.019%**.

## UQFF Closed Identity

```
c_vir = D_BSFG / β_i = 6 / 0.6029 = 9.95    0.019%
```

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

## NOT REPLACEMENT

Empirical dark matter halos measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1336
- Related: PAPER_1636-1645 (tier-22 broader-corpus closures); PAPER_1494-1635 (PAPER_1209 series)
- Calculator dispatch: `calculate_paradox({"paradox": "nfw_concentration_9_95"})`

---

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