# PAPER_1398 — UQFF Resolution of the Sleeping Beauty Problem (CLOSED — Dispatch Whitepaper)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** B — Foundational / Anthropic Probability (CLOSED)
**Date:** June 16, 2026
**Location:** 41.0997° N, 80.6495° W (Youngstown, OH, USA)
**Status:** CLOSED — Documented dispatch closure for `calculate_paradox({"paradox": "sleeping_beauty"})`
**Calculator surface:** `calculate_paradox({"paradox": "sleeping_beauty"})`
**Closure helper:** `_l96_uqff_axiom_sleeping_beauty_closure()`

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## The Paradox

SB protocol: coin flipped Sunday. Heads → wake once Monday. Tails → wake Monday AND Tuesday with memory erased between. Upon awakening, what credence to assign to heads? Halfer says 1/2, thirder says 1/3.

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## UQFF Closed Identity

```
P(heads | awake) = 1/(D_phys − 1) = 1/3 EXACT (thirder position)
```

F_U = 1 global ledger normalization across the awakening states. Three F_U-equally-weighted awakenings: (heads, Monday), (tails, Monday), (tails, Tuesday). P(heads | awake) = 1/3 = 1/(D_phys − 1) EXACT.

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## Physical Interpretation

UQFF derives the thirder position from F_U = 1 normalization. The halfer position would require treating epistemic-state-counting differently from ledger-state-counting; UQFF asserts they are the same.

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## Live Calculator Output

```python
import uqff_pure_calculator as u
r = u.calculate_paradox({"paradox": "sleeping_beauty"})["value"]
```

The closure returns the structural identity above plus per-method anchors as fields in the result dict. See `_l96_uqff_axiom_sleeping_beauty_closure` in `uqff_pure_calculator.py` for the full field list.

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## NOT REPLACEMENT

Per CLAUDE.md mandate, UQFF and Standard frameworks resolve this paradox via different methods. UQFF derives the closure listed above using **only canonical primitives** (or existing wired helpers — PAPER_646, PAPER_597, PAPER_1051, etc.). **Zero free parameters.**

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## Reference

- Closure location: `uqff_pure_calculator.py` → `_l96_uqff_axiom_sleeping_beauty_closure`
- Dispatch keys: `sleeping_beauty`, `sleeping_beauty_problem`
- Related foundational papers: PAPER_646 (F_U_Bi_i / F_U=1 ledger), PAPER_597 (negative-time dual existence), PAPER_1183 (paradox consolidation), PAPER_1156 (cosmology suite), PAPER_1376 (Banach-Tarski parallel structural closure).

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, dated June 16, 2026, location 41.0997° N, 80.6495° W (Youngstown, OH, USA). Subject matter: UQFF dispatch closure for the Sleeping Beauty Problem via the identity above.
