Quantum mechanics (QM) predicts the radius of the hydrogen atom in the ground state as 0.529 Å (the Bohr radius), and for the excited state (e.g., 𝑛=30) - 483 Å. However, experimental data, such as in the work of A. Stodolny et al. (2013), show radii of 1.0 Å for the ground state (47% discrepancy) and 1.4 Å for the excited state (more than 30,000% discrepancy). In our paper "Der reale Radius des Wasserstoffatoms: Neue theoretische und experimentelle Ansätze" (German International Journal of Modern Science №99, 2025, we apply a deterministic approach with the real potential electrostatic field of the proton, predicting radii of 1.06 Å (6% deviation from experiment) and 1.413 Å (deviation from experiment 0.9%). These results call into question the accuracy of QM.

We invite colleagues to discuss: why does QM give such significant discrepancies?

What is the real radius of the hydrogen atom?

Can the deterministic approach become a more accurate alternative?

Share your thoughts, experimental data and criticism!

Link to source: [https://www.researchgate.net/publication/389873587_The_Real_Radius_of_the_Hydrogen_Atom_New_Theoretical_and_Experimental_Approaches]

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