Thursday, 4 October 2018

quantum mechanics - In a universe with four spatial dimensions would there be elementary particles with intrinsic isoclinic spin?


Elementary particles have an intrinsic property called spin which is different from classical spin as it does not involve actual rotation and the magnitude of spin cannot be changed but particles with intrinsic spin behave in some ways as if they were rotating such as behaving like subatomic magnets if electrically charged.


In four spatial an object with classical rotation can have isoclinic rotation in which it has two independent directions of rotation and in both directions the rate of rotation is the same. An object could also have a double rotation that is not isoclinic but isoclinic rotation is the most stable type of rotation and none isoclinic double rotation will tend to decay into isoclinic rotation through momentum transfer.


In a universe with four spatial dimensions would there be elementary particles that behave as if they have isoclinic rotation? If so would there still be elementary particles that behave as if they have simple rotation? How would a particle with intrinsic isoclinic spin behave? Would there be particles that have two none zero spin numbers that are both different values? If so how would a particle with one spin value being half integer and the other being integer behave?




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