کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7551882 1490415 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Klein-Weyl's program and the ontology of gauge and quantum systems
ترجمه فارسی عنوان
برنامه کلین ویل و هستی شناسی سیستم های اندازه گیری و کوانتومی
کلمات کلیدی
هرمان وایل، برنامه ارلانگن کلین، نسبیت عام، تئوری اندازه گیری، مکانیک کوانتومی، تقارن،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
We distinguish two orientations in Weyl's analysis of the fundamental role played by the notion of symmetry in physics, namely an orientation inspired by Klein's Erlangen program and a phenomenological-transcendental orientation. By privileging the former to the detriment of the latter, we sketch a group(oid)-theoretical program-that we call the Klein-Weyl program-for the interpretation of both gauge theories and quantum mechanics in a single conceptual framework. This program is based on Weyl's notion of a “structure-endowed entity” equipped with a “group of automorphisms”. First, we analyze what Weyl calls the “problem of relativity” in the frameworks provided by special relativity, general relativity, and Yang-Mills theories. We argue that both general relativity and Yang-Mills theories can be understood in terms of a localization of Klein's Erlangen program: while the latter describes the group-theoretical automorphisms of a single structure (such as homogenous geometries), local gauge symmetries and the corresponding gauge fields (Ehresmann connections) can be naturally understood in terms of the groupoid-theoretical isomorphisms in a family of identical structures. Second, we argue that quantum mechanics can be understood in terms of a linearization of Klein's Erlangen program. This stance leads us to an interpretation of the fact that quantum numbers are “indices characterizing representations of groups” ((Weyl, 1931a), p.xxi) in terms of a correspondence between the ontological categories of identity and determinateness.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics - Volume 61, February 2018, Pages 25-40
نویسندگان
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