量子数守恒：高能实验设计与分析中的一种工具
Quantum number conservation: a tool in the design and analysis of high energy experiments
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中文总结 AI 辅助
该研究提出 $Cl_{7,7}$ 代数可通过七个守恒量子数统一描述基本费米子与强子，将其用于高能实验的设计与分析，尤其适用于含中性粒子和宇称的场景。
中文摘要 AI 辅助
Clifford 统一代数 $Cl_{7,7}$ 被证明可通过七个二元量子数统一描述所有基本费米子和强子。其中四个量子数定义于现有理论，即自旋方向、费米子/反费米子配对以及夸克颜色的 SU(3) 描述中的两个对易生成元；一个 $Cl_{3,3}$ 子代数整合了 $Cl_{1,3}$ 时空代数与狄拉克代数，提供了时间方向的新定义并将宇称识别为新量子数；另外两个量子数与费米子代的 SU(3) 描述中的对易生成元相关。所有七个量子数在带电粒子的衰变和相互作用中均守恒，表明量子数守恒是高能实验设计与解释的有用工具，这在涉及中性粒子和宇称时尤为相关。
英文摘要
The Clifford Unification algebra $Cl_{7,7}$ is shown to provide a unified description of all the elementary fermions and hadrons in terms of seven binary quantum numbers. Four of these are defined in existing theories, namely spin-direction, fermion/anti-fermion pairing and the two commuting generators in the SU(3) description of quark colour. A $Cl_{3,3}$ sub-algebra integrates the $Cl_{1,3}$ space-time and Dirac algebras providing a new definition of time direction and identifying parity as a new quantum number. A further two quantum numbers are related to the commuting generators of an SU(3) description of fermion generations. All seven are conserved in the decays and interactions of charged particles, suggesting that quantum number conservation provides a useful tool in the design and interpretation of high energy experiments. This is especially relevant when neutral particles and parity are involved.
