Mathematics and reality: Two notions of spacetime in the analytic and constructionist views of gauge field theories
Philosophy of Science 67 (3):494 (2000)
| Abstract | This paper presents two interpretations of the fiber bundle formalism that is applicable to all gauge field theories. The constructionist interpretation yields a substantival spacetime. The analytic interpretation yields a structural spacetime, a third option besides the familiar substantivalism and relationalism. That the same mathematical formalism can be derived in two different ways leading to two different ontological interpretations reveals the inadequacy of pure formal arguments | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,653 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesOliver Pooley (forthcoming). Substantivalist and Relationalist Approaches to Spacetime. In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press.
Mael A. Melvin (1982). Towards Unified Field Theory: Quantitative Differences and Qualitative Sameness. Synthese 50 (3):359 - 397.
John Earman & John Norton (1987). What Price Spacetime Substantivalism? The Hole Story. British Journal for the Philosophy of Science 38 (4):515-525.
Andrew Wayne (2000). Conceptual Foundations of Field Theories in Physics. Philosophy of Science 67 (3):522.
Y. S. (2001). Spacetime as a Fundamental and Inalienable Structure of Fields. Studies in History and Philosophy of Science Part B 32 (2):205-215.
Holger Lyre (2004). Holism and Structuralism in (1) Gauge Theory. Studies in History and Philosophy of Science Part B 35 (4):643-670.
John Earman (2002). Gauge Matters. Proceedings of the Philosophy of Science Association 2002 (3):S209--20.
Holger Lyre (2001). The Principles of Gauging. Philosophy of Science 68 (3):S371-S381.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads37 ( #31,859 of 548,984 )Recent downloads (6 months)1 ( #63,327 of 548,984 )How can I increase my downloads? |
My notes
Discussion
