The classical spiral spin quantized orbits

This article studies the closed path of a charge q under the action of special periodic spiral-spin magnetic fields. In particular, the conditions for maintaining the spiral-spin moment constant at +1/2 or -1/2 along the closed spiral path are precisely determined. The total classical spiral moment J is proportional to the classic analogue of single-electron system Landé g-factor g_J = 1 ± 1/(2ℓ+1) multiplied by 1/2 + ℓ, where ℓ represents the azimuthal spiral angular momentum L. Busch's theorem is used to calculate the canonical angular momentum P_phi about the symmetric axis z. The spiral spin S is further subdivided into the common spiral spin mode S_c and the differential spiral spin mode S_d. The time evolution matrix of the initial spiral spin state and the cyclicity condition are determined. The closed classical trajectory of the form of n spiral petals is determined together with its energies. This classical, macroscopically driven charged particle system yields an energy equation that is mathematically isomorphic to Planck's blackbody radiation formula for the average energy of quantum photons. The multi-petal system can theoretically be used for multiple purposes.