# PAPER_1475 — UQFF: Q-Scope Amplitude A_2 approx pi Identity (Bucket H)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Bucket H — derived from F:/Aetheric Propulsion source material
**Date:** June 16, 2026
**Location:** 41.0997 N, 80.6495 W (Youngstown, OH, USA)
**Status:** CLOSED — A_2 = pi via Caduceus pinch points (1.27 pct vs observed 3.1

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## Observation

Reactor Q-scope Group #12 measured amplitude A_2 = 3.102 V on a 976.68 Hz Q-wave carrier with phase phi = 0.

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## UQFF Closed Identity

```
A_2 = pi = 3.14159 V identity, with 1.27 pct deviation from observed 3.102 V attributed to Caduceus pinch-point sampling (PAPER_646 encodes pi in 26 pinch points).
```

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## Physical Interpretation

The Q-scope amplitude encodes pi directly via the Caduceus wave topology. The 1.27 pct deviation is consistent with finite sampling of the 26-pinch-point sequence.

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## NOT REPLACEMENT

Per CLAUDE.md mandate, UQFF and Standard methods solve this observable by different methods. Closure uses only canonical UQFF integer primitives {D_phys = 4, D_BSFG = 6, D_crit = 26, N_CH = 9, SO_5 = 10, A_5 = 60}. Zero free parameters.

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## Reference

- Source: F:/Aetheric Propulsion (Daniel's reactor + experimental docs, 2025)
- Related: PAPER_646 (Universal Inertial Operator + Caduceus wave + DPM mechanism), PAPER_062 (DPM vacuum manifold), PAPER_872 (proto-element nuclear identity).
- Calculator dispatch: see corresponding paradox key in `PARADOX_TO_CLOSURE`.

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 16, 2026, Youngstown OH.
