# PAPER_1383 — UQFF Resolution of the Trans-Planckian Problem (CLOSED — Dispatch Whitepaper)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** D — Cosmology / Inflation (CLOSED)
**Date:** June 16, 2026
**Location:** 41.0997° N, 80.6495° W (Youngstown, OH, USA)
**Status:** CLOSED — Documented dispatch closure for `calculate_paradox({"paradox": "trans_planckian"})`
**Calculator surface:** `calculate_paradox({"paradox": "trans_planckian"})`
**Closure helper:** `_l96_uqff_axiom_trans_planckian_closure()`

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## The Paradox

Inflationary models require modes of trans-Planckian frequency ω > ω_Planck = 1.85×10⁴³ Hz to redshift into the observable CMB. Treatment as effective field theory above the Planck scale is uncontrolled.

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## UQFF Closed Identity

```
ω_SCm / ω_Planck = 1.25×10¹² / 1.85×10⁴³ = 6.76×10⁻³²
```

ω_SCm = 1.25 THz is the **structural** UV cutoff — modes above this do not exist in the SCm vacuum. The Planck frequency is irrelevant; the SCm phonon scale is the natural ceiling.

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## Physical Interpretation

Inflation modes redshift from ω_SCm down to CMB scale, not from ω_Planck. The trans-Planckian problem dissolves because there are no trans-Planckian modes — they are above the SCm structural cutoff which is 31 orders of magnitude below ω_Planck.

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## Live Calculator Output

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

The closure returns the structural identity above plus per-method anchors as fields in the result dict. See `_l96_uqff_axiom_trans_planckian_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_trans_planckian_closure`
- Dispatch keys: `trans_planckian`, `trans_planckian_problem`
- Related foundational papers: PAPER_646 (F_U_Bi_i / F_U=1 ledger), PAPER_597 (negative-time dual existence), PAPER_1183 (paradox consolidation).

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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 Trans-Planckian Problem via the identity above.
