On a Dynamic Structural Model of Quantized Space

This paper proposes and develops a dynamic structural picture of "quantized space": spatial modes undergo a composite "pulsation–helical" motion, formed by periodic dilation (the radial phase)together with periodic rotation (the angular phase); its discrete values are fixed by the boundary conditions of the confining field,without invoking metric quantization or any minimum-length assumption. In this picture, the discontinuity and the probabilistic character of particles are no longer introduced as independent postulates, but appear as the projection of the internal composite motion into external observation. Three classes of equations describing this picture are given: a dynamical equation (second-order partial differential, structurally identical to the Schrödinger equation, differing only in the oscillation term), quantization conditions (dilation and rotation each quantized separately), and a field equation (stationary form, with dilation and rotation separated). Quantitative derivations are carried out for the electron and the proton: the full-period frequencies 𝜈𝑒 ≈1.237×1020 Hz, 𝜈𝑝 ≈2.271×1023 Hz are obtained, and from the latter a quantized wavelength 𝜆≈1.321 fm, of the same order as the known range. Finally, it is pointed out that on macroscopic scales this picture connects with the existing empirical evidence for macroscopic quantum phenomena, and its further generalization is put forward as an open problem.