标题： 规范自由与相对论：电磁学、引力和狄拉克场的统一处理 显示英文标题

标题： Gauge Freedom and Relativity: A Unified Treatment of Electromagnetism, Gravity and the Dirac Field

摘要： 广义相对论的几何性质被重新考虑为在平坦背景上的场的特殊非线性相互作用，其中感知的几何和坐标是“物理”实体，通过可观测物体的拼接进行插值，与底层场之间存在非直观的关系。 这一更一般的物理规范概念打开了一扇重要的门，使所有场都能处于相似的地位，但需要仔细重新考虑物理中的张量以及围绕它们的传统观念。 讨论了平坦背景和诱导的守恒量的意义，并与根据诱导物理坐标定义的“可观测”的正定能量和概率密度进行了对比。 在此背景下，狄拉克矩阵被提升为动态的原始引力场，并作为“物理度规”信息的保存者。 在这些场中，利用波函数的独立姐妹场，采用双线性而非二次的拉格朗日量。 这种构造大大扩展了规范群，因此现在相对于物理度规证明场的规范不变函数的因果演化，需要同时满足应力-能量守恒和概率流守恒定律。 通过类似希格斯的耦合项，原始引力场生成了一个明确的物理度规结构，并在相对于类似希格斯的耦合的低能下给出了引力与电磁力的通常区分。 平坦背景诱导出一组完整的守恒定律，但导致需要将这些量与由场构建的记录设备和观察者所观测到的量区分开来。 显示英文摘要

摘要： The geometric properties of General Relativity are reconsidered as a particular nonlinear interaction of fields on a flat background where the perceived geometry and coordinates are "physical" entities that are interpolated by a patchwork of observable bodies with a nonintuitive relationship to the underlying fields. This more general notion of gauge in physics opens an important door to put all fields on a similar standing but requires a careful reconsideration of tensors in physics and the conventional wisdom surrounding them. The meaning of the flat background and the induced conserved quantities are discussed and contrasted with the "observable" positive definite energy and probability density in terms of the induced physical coordinates. In this context, the Dirac matrices are promoted to dynamic proto-gravity fields and the keeper of "physical metric" information. Independent sister fields to the wavefunctions are utilized in a bilinear rather than a quadratic lagrangian in these fields. This construction greatly enlarges the gauge group so that now proving causal evolution, relative to the physical metric, for the gauge invariant functions of the fields requires both the stress-energy conservation and probability current conservation laws. Through a Higgs-like coupling term the proto-gravity fields generate a well defined physical metric structure and gives the usual distinguishing of gravity from electromagnetism at low energies relative to the Higgs-like coupling. The flat background induces a full set of conservation laws but results in the need to distinguish these quantities from those observed by recording devices and observers constructed from the fields.