Trapped-Ion Page-Wootters Experiment: Protocol for Testing Ultrametricity
We propose a trapped-ion experiment to test the Sufficient Condition Theorem: that diagonal clock-rest coupling produces exact ultrametric conditional state overlaps (UVR = 0%), while nondiagonal coupling produces a universal ~32% violation rate. All required capabilities are established with current trapped-ion technology. Estimated timeline: 8 weeks on an existing apparatus. --- *Published under QNFO-ULA. [legal.qnfo.org](https://legal.qnfo.org/)*
Trapped-Ion Page-Wootters Experiment: Protocol for Testing Ultrametricity
Authors: Rowan Brad Quni-Gudzinas
Published: 2026-07-04
DOI: [https://doi.org/10.5281/zenodo.21120469](https://doi.org/https%3A%2F%2Fdoi.org%2F10.5281%2Fzenodo.21120469)
Abstract
We propose a trapped-ion experiment to test the Sufficient Condition Theorem: that diagonal clock-rest coupling produces exact ultrametric conditional state overlaps (UVR = 0%), while nondiagonal coupling produces a universal ~32% violation rate. All required capabilities are established with current trapped-ion technology. Estimated timeline: 8 weeks on an existing apparatus. --- Published under QNFO-ULA. [legal.qnfo.org](https://legal.qnfo.org/)
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This paper is part of the QNFO research corpus.