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Article Summaries:

  • John Baez proposes a novel framework linking the hydrogen atom to a massless spin‑½ particle moving at light speed on the Einstein universe-a closed, static 3‑sphere. By treating the particle’s standing‑wave states as hydrogen orbitals, he explains the atom’s hidden 4‑dimensional rotational symmetry. Extending this idea, Baez develops a quantum‑field‑theoretic model on the Einstein universe that reproduces the periodic table of elements, including the Madelung rules for electron filling. The series outlines the mathematical steps-from Runge‑Lenz vector conservation to the Duflo isomorphism and second quantization-showing how atomic structure can emerge from a field theory on a curved spacetime.

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