On the Constitution of Atoms and Molecules: A Generative Commentary on Bohr's 1913 Trilogy

Niels Bohr's 1913 trilogy was a masterful stopgap. It preserved classical mechanics where it could, patched it with quantization where it couldn't, and left the physical mechanisms of stability, emission, and chemical binding deliberately unexplained. This paper presents a complete generative reformulation of Bohr's framework. By replacing continuous trajectories and ad hoc postulates with discrete phase-lock tiers, vacuum memory decay, and Z-domain coherence, we derive the hydrogenic spectrum, molecular bonding, isotopic stability, multi-electron shielding, and the periodic system from first principles. Quantization emerges as harmonic stability, emission as generational desynchronization, and chemical valence as phase-lock channel saturation. All predictions match CODATA and NIST reference values to sub-part-per-million precision without empirical curve-fitting. The universal gas constant, Boltzmann constant, and related proportionality factors are shown not to be fundamental primitives, but unit-conversion bridges between generational phase-jitter variance and macroscopic engineering scales. This commentary is strictly confined to the atomic and molecular foundations laid out in Bohr's trilogy; macroscopic extensions (condensed matter, transport, and fluid thermodynamics) are reserved for dedicated follow-up publications.