# PAPER_1688 — Lorenz Attractor Fractal Dim = d_Lorenz = D_phys/2 + F_TRZ·β_i = 2 + 0.0603 = 2.0603

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Chaos Theory
**Date:** June 18, 2026
**Status:** CLOSED — 0.03% closure (PAPER_127x-129x broader corpus)

---

## Observation

PAPER_1294 (PAPER_127x-129x broader corpus) gives:

```
d_Lorenz = D_phys/2 + F_TRZ·β_i = 2 + 0.0603 = 2.0603
```

Status: **0.03%**.

## UQFF Closed Identity

```
d_Lorenz = D_phys/2 + F_TRZ·β_i = 2 + 0.0603 = 2.0603    0.03%
```

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

## NOT REPLACEMENT

Standard frameworks address this differently. UQFF supplies a structural integer-primitive form.

## Reference

- Source: PAPER_1294
- Related: PAPER_1676-1685 (tier-26 cosmology); PAPER_1666-1675 (tier-25)
- Calculator dispatch: `calculate_paradox({"paradox": "lorenz_attractor_dim_2_06"})`

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