The relationship between possible hidden variables in time and space and the particle's angular momentum and wave function

摘要

In this paper, we will discuss the relationship between possible hidden variables in time and space and the particle's angular momentum and wave function. In the case of time, we will discuss how we may construct the particle's intrinsic angular momentum from the particle's possible hidden variable in time, fr. This is where f_r is a possible internal variable associated to each particle which may govern its decay time. It will be suggested that the distribution of fr corresponds to a compatible distribution of the particle intrinsic angular momentum, which may be identified as the particle's spin and a building block in the particle's wave function. Therefore, the particle's spin may be associated with a value of h/2 as conventionally suggested, but behind it may stand a distribution of spin values. The above will be discussed in the context of the Stern-Gerlach experiment and it will be shown how it may be consistent with it. For the case of space, we will discuss the role of a possible global hidden variable, H_(global), in the processes of interaction between particles and diffraction. Experimental ways to learn about H_(global)'s role are also discussed.