Towards a Surreal Spin Theory: Surreal Superstrings?  

作　　者：Juan Antonio Nieto Jesús Adrián Félix-Algandar Juan Antonio Nieto;Jesús Adrián Félix-Algandar(Facultad de Ciencias Fsico-Matemáticas de la Universidad Autónoma de Sinaloa, Culiacán Sinaloa, México)

机构地区：[1]Facultad de Ciencias Fsico-Matemáticas de la Universidad Autónoma de Sinaloa, Culiacán Sinaloa, México

出　　处：《Journal of Applied Mathematics and Physics》2022年第12期3586-3600,共15页应用数学与应用物理（英文）

摘　　要：We propose a surreal spin theory. Our basic mathematical tools are the dyadic rational number which is one of the key mathematical notions in surreal number theory. We argue that from the perspective of such surreal numbers, bosons and fermions, and therefore supersymmetry, are mere particular cases of a very much larger dyadic spin structure which include -spin (semionics), -spin and in general -spin, with m odd integer and n a positive natural number. Finally, we conjecture that this development could imply the existence of a surreal superstring theory.We propose a surreal spin theory. Our basic mathematical tools are the dyadic rational number which is one of the key mathematical notions in surreal number theory. We argue that from the perspective of such surreal numbers, bosons and fermions, and therefore supersymmetry, are mere particular cases of a very much larger dyadic spin structure which include -spin (semionics), -spin and in general -spin, with m odd integer and n a positive natural number. Finally, we conjecture that this development could imply the existence of a surreal superstring theory.

关 键 词：Higher Spin Theory Surreal Numbers Dyadic Rationals 

分 类 号：O17[理学—数学]