I have always found this concept to be counter-intuitive; if something occupies the same space and time, then the "spin" should either constructively or destructively interfere. It should not act as a separating co-ordinate, unless there actually is some type of spatial or temporal separation.Now we find that the Quantum theorists have been referring to this basic unit of rotational space as the spin. In addition to the three space co-ordinates spin is trated as a fourth co-ordinate. Thus two different particles can occupy the same location in extension space at the same time if their spin co-ordinates differs.
We run in to the same thing with electrons in the shells, with the "spin" quantum number, "s".
When working thru the flow diagram for RS2, I ran across this statement by Nehru:
Nehru wrote:
Based on this corollary, particles (electrons, protons, etc., any single, double-rotating system) have only three dimensions to contend with. But consider... the ATOM is composed of TWO double-rotating systems, namely "two interacting particles", as Nehru describes in this corollary. The logical consequence of that is the atom has SIX different dimensions, three each of the two T-frames, respectively.Corollary #10 (multiple dimensions): in the case of the frame-inversion (Corollary #5) of two interacting particles, unless inhibited by special conditions, we end up with six apparently different dimensions, three each of the two T-frames, respectively. Indeed, we require 3n dimensions to represent n particles.
--"Non-Locality in the Reciprocal System"
What this also means is that each T-frame has a "nuclear" (1-dimensional) and "atomic" (3-dimensional) zone, as Nehru describes in his paper, "The Wave Mechanics in Light of the Reciprocal System". Therefore, the ATOM must consist of TWO such zones, TWO nuclear and TWO atomic zones.
The question I now put forth is: is the sign of the spin (+/-) actually the direction of a spin, or just an indication of which nuclear region the electron is present in? If the latter, it makes more sense for spin to act as a co-ordinate, because it is distinguishing between two, distinct regions within the atom--a separation.
Any thoughts on this?