约旦对量子理论与标准模型
Jordan Pair Quantum Theory and the Standard Model
首次发表
浏览论文内容
中文总结 AI 辅助
研究指出双特殊厄米特约旦三元组与粒子物理标准模型结构的对应关系，并用其重新表述和推广普通量子力学。
中文摘要 AI 辅助
数学家在研究约旦代数时发现了约旦对和厄米特约旦三元组，它们描述了量子力学中可观测量的可能代数。我们指出双特殊厄米特约旦三元组（即所谓的“双凯莱”三元组）与粒子物理标准模型结构之间的显著对应关系。还指出了如何用厄米特约旦三元组重新表述和推广普通量子力学。
英文摘要
Jordan pairs and hermitian Jordan triples were discovered by mathematicians studying Jordan algebras, which describe the possible algebras of observables in quantum mechanics. We point out a striking correspondence between the doubly exceptional hermitian Jordan triple (the so-called ``bi-Cayley'' triple) and the structure of the Standard Model of particle physics. We also point out how ordinary quantum mechanics may be reformulated, and generalized, using hermitian Jordan triples.
