# PAPER_1651 — Cosmic Filament Dimension = D_filament = D_phys / 2 = 2.0 (1D cosmic web)

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

---

## Observation

PAPER_1330 (PAPER_13xx broader corpus) gives:

```
D_filament = D_phys / 2 = 2.0 (1D cosmic web)
```

Status: **EXACT**.

## UQFF Closed Identity

```
D_filament = D_phys / 2 = 2.0 (1D cosmic web)    EXACT
```

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

## NOT REPLACEMENT

Empirical large-scale struct measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1330
- Related: PAPER_1636-1645 (tier-22 broader-corpus closures); PAPER_1494-1635 (PAPER_1209 series)
- Calculator dispatch: `calculate_paradox({"paradox": "cosmic_filament_dim_2"})`

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