Luis Santaló and classical field theory

IF 0.8 4区物理与天体物理 Q2 HISTORY & PHILOSOPHY OF SCIENCE

The European Physical Journal H Pub Date : 2019-10-25 DOI:10.1140/epjh/e2019-100038-9

Mariano Galvagno, Gaston Giribet

引用次数: 0

Abstract

Considered one of the founding fathers of integral geometry, Luis Santaló has contributed to various areas of mathematics. His work has applications in number theory, in the theory of differential equations, in stochastic geometry, in functional analysis, and also in theoretical physics. Between the 1950’s and the 1970’s, he wrote a series of papers on general relativity and on the attempts at generalizing Einstein’s theory to formulate a unified field theory. His main contribution in this subject was to provide a classification theorem for the plethora of tensors that were populating Einstein’s generalized theory. This paper revisits his work on theoretical physics.

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路易斯Santaló和经典场论

路易斯Santaló被认为是积分几何的创始人之一，他对数学的各个领域都做出了贡献。他的工作在数论、微分方程理论、随机几何、泛函分析以及理论物理中都有应用。在20世纪50年代到70年代之间，他写了一系列关于广义相对论的论文，并试图推广爱因斯坦的理论，以形成一个统一的场论。他在这方面的主要贡献是为爱因斯坦广义理论中过多的张量提供了一个分类定理。本文回顾了他在理论物理学方面的工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

The European Physical Journal H HISTORY & PHILOSOPHY OF SCIENCE-PHYSICS, MULTIDISCIPLINARY

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of this journal is to catalyse, foster, and disseminate an awareness and understanding of the historical development of ideas in contemporary physics, and more generally, ideas about how Nature works. The scope explicitly includes: - Contributions addressing the history of physics and of physical ideas and concepts, the interplay of physics and mathematics as well as the natural sciences, and the history and philosophy of sciences, together with discussions of experimental ideas and designs - inasmuch as they clearly relate, and preferably add, to the understanding of modern physics. - Annotated and/or contextual translations of relevant foreign-language texts. - Careful characterisations of old and/or abandoned ideas including past mistakes and false leads, thereby helping working physicists to assess how compelling contemporary ideas may turn out to be in future, i.e. with hindsight.