从质量到能量-动量：能量-质量关系的场论视角
From Mass to Energy-Momentum: The Field-Theoretic Perspective on the Energy-Mass Relation
- Lichtenberg Group for History and Philosophy of Physics, University of Bonn（波恩大学利希滕贝格物理历史与哲学研究组）
- History and Philosophy of Science, University of Cambridge（剑桥大学科学史与科学哲学系）
- Mohamed bin Zayed University of Artificial Intelligence（穆罕默德·本·扎耶德人工智能大学）
- University of Cambridge（剑桥大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文从经典相对论场论视角审视狭义相对论的能量-质量关系，提出能量-动量取代质量成为基本概念，静止能量作为质量的功能后继，并强调该诠释的哲学意义与统一力量。
AI中文摘要：
本文通过经典/非量子相对论场论的视角，考察了狭义相对论（SR）的能量-质量关系、其地位及诠释。场论可以说构成了SR作为爱因斯坦所称的“原理理论”的最充分体现。我们提出，它也是理解能量-质量关系的最恰当视角。在场论框架中，关键概念是系统的能量-动量（以局域/微分或全局/积分形式，通过合适的能量-应力复量来定义）。能量-质量关系进而表达了系统的静止能量（若存在）作为质量的功能对应物所扮演的角色：得益于重要的定理，静止能量有资格作为其场论推广或后继概念。也就是说，虽然质量作为基本概念被摒弃，静止能量保留了其部分——但非全部——显著的功能角色；在特殊情况下，它被证明与质量直接相关。在场论作为更具体相对论理论的一般框架中，能量-动量取代质量成为本质概念——这是基础物理概念中一个深刻却常被忽视的修订。特别是，守恒仅对能量-动量得到保证，而不再对质量成立。在多个方面，能量-动量融合了能量、动量与质量，在它们之间建立起新的联系并伴随相应的物理效应。将能量-质量关系置于场论之中，是一个出人意料地被忽视但极具洞察力的视角，用于澄清和哲学反思SR的基础。场论诠释实现了令人信服的内在一致性与统一力量，并将其与场论丰富的启发式资源联系起来，这对1905年后物理学的发展至关重要。
英文摘要：
The paper examines the energy-mass relation of Special Relativity (SR), its status and interpretation, through the lens of classical/non-quantum relativistic field theory. The latter arguably constitutes the fullest embodiment of SR as what Einstein labelled a "principle theory". It forms, we propose, the most appropriate perspective also for understanding the energy-mass relation. In a field-theoretic setting, the key notion is a system's energy-momentum (in local/differential or global/integral form, defined via a suitable energy-stress complex). The energy-mass relation then expresses the role that a system's _rest_-energy (provided it exists) plays as the functional counterpart of mass: thanks to important theorems, rest-energy qualifies as its field-theoretic generalisation or successor term. That is, while mass is dispensed with as a fundamental notion, rest-energy retains some---but not all---of its salient functional roles; for special cases, it turns out to be directly correlated with mass. In field theory as a general framework for more specific relativistic theories, energy-momentum replaces mass as the essential notion---a profound, yet often overlooked revision in basic physical concepts. Conservation in particular is guaranteed only for energy-momentum, but no longer for mass. In several regards, energy-momentum fuses energy, momentum and mass, with novel connections amongst them and concomitant physical effects. Situating the energy-mass relation within field theory is a surprisingly neglected, but deeply insightful vista for clarifying and philosophically reflecting on SR's foundations. The field-theoretic interpretation achieves a compelling inner coherence and unifying power, and ties it to the rich heuristic resources of field theory, crucial for post-1905 developments in physics.
