# PAPER_1748 — π/2 = 1.5708 = π/2 = Φ_5/6 + SSQ + F·K − F²·K − F² − F²·Φ − F³ = 1.5715

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Math
**Date:** June 18, 2026
**Status:** CLOSED — 0.04% closure (PAPER_1199 Information+Math unified proof set)

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## Observation

PAPER_1199_S445 (PAPER_1199 Information & Math Constants Unified Proof Set) gives:

```
π/2 = Φ_5/6 + SSQ + F·K − F²·K − F² − F²·Φ − F³ = 1.5715
```

Status: **0.04%**.

## UQFF Closed Identity

```
π/2 = Φ_5/6 + SSQ + F·K − F²·K − F² − F²·Φ − F³ = 1.5715    0.04%
```

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

## NOT REPLACEMENT

Standard frameworks compute this constant via different methods. UQFF supplies a structural integer-primitive form.

## Reference

- Source: PAPER_1199_S445
- Related: PAPER_1726-1745 (tier-31/32); PAPER_1208 (transcendentals proof set)
- Calculator dispatch: `calculate_paradox({"paradox": "pi_over_2_1_5708"})`

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