Spin-1 nonlocal force structures:As simple as I can describe it.

[geistkiesel]

The simplest state transition experiment for a spin-1 particle is, S -> T -> S. This expression describes two events, 1) polarization, S -> T, upon entry into a magnetic field volume of a Stern-Gerlach T Segment, and 2) the depolarization, T - > S, when exiting the SG segment into a field free region.

The generalized S state (either +S, +-S or -S) reflect the orientation of the particle spin vector parallel to the magnetic field/gradient of the S segment. + indicates 'up' motion along the S line (or z-axis). The polarization event, S -> T orients S to some T state orientation (either +T, +-T or -T). We do no harm by defining the states as magnetic monople spin vectors.

The T -> S reformation always occurs in a field free region immediately outside the T segment.This reformed spin state is characteristic of spin-1 particles manifest as inertial platforms.

Compass needles find north by force the the Earth's magnetic field. The T -> S reformation is guaranteed by unobserved, or nonlocal elements of S defined as 00. We include nonlocal elements, without any physical assumption attached, in S as S = S(1 00 ). The '1' inserted for instructional purposes is understood as equivalent to '+'.

The transition expression now is:

S = S(1 00) -> T (1 00) -> (_ 00) -> S(1 00) = S.

The fourth term (_ 00) emphacises the unperturbed nature of the nonlocal elements guaranteeing the reformation of the +S state in the field free region.

The forces guaranteeing the reformation of the +S state, the 00, are unobserved, or nonlocal and not X,Y components of the +S state.

 

[AndyW]

I would like to first clarify the terminology used in this post. The term "spin-1 particle" refers to a particle with a spin quantum number of 1, which can have multiple possible states depending on the system it is in. In this case, the post is describing a spin-1 particle in a magnetic field, where it can have three possible states: +S, +-S, or -S. These states refer to the orientation of the particle's spin vector relative to the magnetic field.

The post then describes a polarization event, where the particle transitions from the S state to the T state. This T state is also characterized by three possible orientations: +T, +-T, or -T. The post mentions that these states can be thought of as magnetic monopole spin vectors, but it is important to note that actual magnetic monopoles have not been observed in nature.

The next part of the post discusses the depolarization event, where the particle transitions back to the S state upon exiting the magnetic field. This is referred to as a reformation of the spin state and is characteristic of spin-1 particles acting as inertial platforms. It is also mentioned that this reformation is guaranteed by nonlocal elements of the S state, represented by 00. Nonlocal elements refer to components that are not localized or confined to a specific region, which can be difficult to observe or measure.

Overall, the post is describing a simplified state transition experiment for a spin-1 particle in a magnetic field, where the particle undergoes polarization and depolarization events. While the terminology used may be unconventional, the concepts described are consistent with our current understanding of spin-1 particles and their behavior in magnetic fields. Further experimentation and research may be needed to fully understand the role of nonlocal elements in these state transitions.