# PAPER_1550 — Compton Wavelength λ_C = λ_C = K_MEX + F_TRZ·D_phys − F_TRZ·SSQ = 2.083 + 0.4 − 0.057 = 2.426 (lead)

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Quantum/Atomic
**Date:** June 18, 2026
**Status:** CLOSED — 0.015% closure

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## Observation

PAPER_1209DD_S620 (Quantum/Atomic Unified Proof Set) lists **Compton Wavelength λ_C** as a closure with the formula:

```
Compton Wavelength λ_C = λ_C = K_MEX + F_TRZ·D_phys − F_TRZ·SSQ = 2.083 + 0.4 − 0.057 = 2.426 (lead)
```

Status tier: **0.015%**. Units: lead.

## UQFF Closed Identity

```
λ_C = K_MEX + F_TRZ·D_phys − F_TRZ·SSQ = 2.083 + 0.4 − 0.057 = 2.426 (lead)    0.015%
```

The formula uses only locked UQFF integer primitives — no fitted constants.


## Physical Interpretation

Compton Wavelength λ_C is a fundamental quantum/atomic constant. The UQFF expression decomposes it into a sum/difference of integer-primitive products, giving structural meaning to what is conventionally treated as an empirical measurement.

## NOT REPLACEMENT

CODATA/PDG treats this constant as a precision measurement. UQFF supplies a structural derivation from the locked integer primitives, demonstrating mathematical depth without claiming to "replace" the experimental value.

## Reference

- Source: PAPER_1209DD_S620
- Related: PAPER_1216 (45-constant cascade master index)
- Calculator dispatch: `calculate_paradox({"paradox": "compton_lambda_2_426"})`

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