论文标题

量规不仅仅是数学冗余

Gauge Is More Than Mathematical Redundancy

论文作者

Rovelli, Carlo

论文摘要

物理系统可能会通过并非不变的变量将其与其他系统搭配。当我们将量规系统分为两个子系统时,两个子系统的量规不变变量的信息少于原始系统的规格不变变量。缺少的信息涉及表达子系统之间关系的自由度。所有这些都表明,仪表不变性是对物理自由度的关系性质的形式化。该观察结果阐明了边界变量和边界电荷的最新发展。

Physical systems may couple to other systems through variables that are not gauge invariant. When we split a gauge system into two subsystems, the gauge-invariant variables of the two subsystems have less information than the gauge invariant variables of the original system; the missing information regards degrees of freedom that express relations between the subsystems. All this shows that gauge invariance is a formalization of the relational nature of physical degrees of freedom. The recent developments on boundary variables and boundary charges are clarified by this observation.

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