量子力学有限群模型的可选方案
群论
2021-07-08 v5 高能物理 - 唯象学
摘要
有四个有限群可能合理地扮演量子力学有限或离散模型中自旋群的角色，即柏拉图立体三个旋转群的两个二重覆盖群中的四个。在早先的论文中，我已详细考虑过其中最小的群，即阶为 24 的二元四面体群，如何产生一个包含粒子物理标准模型大量结构的非相对论理论。在本文中，我考虑立方体的旋转群的两个二重覆盖之一如何将此扩展为相对论理论。
引用
@article{arxiv.2104.10165,
title = {Options for a finite group model of quantum mechanics},
author = {Robert A. Wilson},
journal= {arXiv preprint arXiv:2104.10165},
year = {2021}
}
备注
v2: added a section showing how to obtain a modified Dirac algebra that is generally covariant, and discussed possible applications to a mass gauge and the muon g-2 anomaly. v3: added sections on chirality and neutrinos, and relationships to other models. v4: simplified notation, clarified arguments, added sections on the wave-function and quantisation. v5: 33 pages