claude.ai Attempt at Proton Radius Puzzle

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Master Dashboard for Constants of Physics - Proton Radius Related

Master Dashboard for Constants of Physics

Significant Digits (4-16):

π: 3.14159

α: 0.00729735

r_p: 8.41400e-16

R_∞: 1.09737e+7

Equations

$\mu = \frac{\alpha^2}{\pi r_p R_\infty}$

$R_H = \frac{R_\infty}{1 + \frac{1}{\mu}}$

$r_p = \frac{2h}{\pi c m_p}$

Calculated Values

Calculated μ: 1835.79

Measured μ: 1836.15

Error δμ: -0.358673

Defined r_p: 8.41236e-16

Select Constant to Vary: π α r_p R_∞

Proton to Electron Mass Ratio Dashboard - WIP

Proton Radius and μ Calculation Dashboard

Equation: μ = (α)² / (π * r_p * R_∞), where r_p is in meters (r_p (m) = r_p (fm) * 10⁻¹⁵)

Current Values

Proton radius r_p (fm): 0.8414

Fine-structure constant α: 0.0072973526

Rydberg constant R_∞ (m⁻¹): 10973731.568160

Calculated μ: 1835.79400029

Accepted μ: 1836.15267343

Error (|μ_calculated - μ_accepted|): 0.35867314

Set Values

Set r_p (fm):
Set α:
Set R_∞ (m⁻¹):
Set δ_r_p (fm):
Set δ_α:
Set δ_R_∞ (m⁻¹):

Controls

Sensitivity Analysis

Draft: Non-functional Radar Chart Star Glyph for $\mu$

Proton-to-Electron Mass Ratio Sensitivity Analysis

Equation: μ = α² / (π r_p R_∞)

Adjust Constants

Adjustment Step Size:

Percentage Variation (%):

Sensitivity Analysis

Dashboard generated on Friday, June 20, 2025, 05:00 PM PDT

3D Visualization of Proton Radius, Mass Ratio, and Rydberg Constant

Proton Radius Theory vs. NIST CODATA Measurement

3D Scatter Plot Test

Number of turns: 5

Radius: 1