Elastic Field Series – Part IV: Harmonic Quantization and the Periodic Structure of Elements

This paper extends the unified elastic-field model by introducing the principle of harmonic quantization — the natural discreteness of standing resonances in the vacuum continuum. The work demonstrates how stable harmonic modes of the elastic lattice form the periodic structure of matter, linking atomic properties to quantized field geometry. Gravitational, magnetic, and electric phenomena emerge as different configurations of the same harmonic system, where quantized standing waves define mass, charge, and stability. Published as Part IV of the Elastic Field Series (2025) by Vladimir Alexeev (ORCID 0009-0007-7207-1448).