Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== Assistant: Here’s a concise summary you could use: ===
Here’s a concise summary you could use:

In Quantum Atom Theory, the fine-structure constant 1/α ≈ 137.036 and the golden angle ≈ 137.508° are seen as two expressions of the same underlying spherical symmetry process, but measured at different “points” in a spectrum of possible photon–electron couplings. The small offset (~0.47°) reflects broken symmetry: in nature, perfect geometry is perturbed by the statistical, wavelength-dependent spread of energy across a spectrum. This spectral structure—like the angular spread of a rainbow in water droplets—arises because spherical wave interactions occur over a range of frequencies, with dispersion subtly shifting the effective coupling away from the pure golden-ratio value. Thus the difference is not an error, but a measurable signature of geometry interacting with real-world spectral processes.