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Experimental Predictions · April 2026

What Will MUSE and PRad II Measure?

A pre-registered prediction for the proton charge radius as measured by the MUSE and PRad II experiments. The Pentagon Physics framework predicts a probe-independent value derived from the 600-cell Galois structure.

Eric McLean · Independent Researcher, Edinburgh · Pentagon Physics · 17 April 2026 · 10.5281/zenodo.19625431
1Prediction
2Experiments
1Radius
0Free parameters
Key Results

A prediction before the data

The proton charge radius has been a persistent puzzle — different experimental methods yielding different values. This paper derives the radius from the Galois structure of the 600-cell with no free parameters and predicts that MUSE and PRad II will measure the same probe-independent geometric value. Agreement resolves the puzzle; disagreement falsifies the model.

1
The proton charge radius is derived from the Galois structure of ℚ(√5) acting on the 600-cell — no free parameters.
2
The prediction is probe-independent: electron scattering and muon scattering must yield the same geometric radius.
3
MUSE (PSI) and PRad II (JLab) will test this prediction directly within the next experimental cycle.
4
Agreement resolves the proton radius puzzle; disagreement falsifies the 600-cell proton model.
Kill Conditions
K1: MUSE or PRad II measuring a charge radius outside the predicted ±0.5% window — 600-cell proton model falsified
K2: Persistent probe dependence (electron vs muon disagreement) — Galois symmetry of the proton falsified
↗ Read on Zenodo doi:10.5281/zenodo.19625431