Angular Momentum Acquisition and Spiral Motion, a Requisite for Particle Creation. a Case Study, the Proton.
Bruno R Galeffi · viXra · 2018
Particle creation via angular momentum acquisition requires the existence of a charge carrier with initial momentum mivi and potential for initiating down-spiral motion, yet abiding by angular momentum quantization and conservation principles. Applied to the proton with a charge radius 0.8751 fm and momentum mv=moc=5.014x10^-19 Kgms^-1, a value of angular momentum quantum number n=4 was pinpointed for the proton radius. Surprisingly, a spin angular momentum S equal to ħ/2Φ (~0.309 ħ) was graphically determined, with Φ being the golden ratio. This result led to the conclusion that the proton might be constructed from two opposing spin angular momenta whose resultant is precisely ħ/2, namely ħ/2Φ and ħΦ/2. Further, an expression for the quantization of v^2/c^2 was derived, revealing that v^2/c^2 becomes pure imaginary around n=0. The mass gain mR/mi during the spiral process was found to be only √2. Following the same reasoning, a neutron radius of 0.834 fm was found.