David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The purpose of this paper is to demonstrate how the mathematical objects and structures associated with the particle physics in other universes, can be inferred from the mathematical objects and structures associated with the particle physics in our own universe. As such, this paper is a continuation of the research programme announced in McCabe (2004), which implemented this idea in the case of cosmology. The paper begins with an introduction that outlines the structuralist doctrine which this research programme depends upon. Section 2 explains how free elementary particles in our universe correspond to irreducible representations of the double cover of the local space-time symmetry group, and relates the configuration representation to the momentum representation. The difficulties of treating elementary particles in curved space-time, and the Fock space second-quantization are also explained. Section 2.1 explores the particle physics of universes in which the local symmetry group is the entire Poincare group or the isochronous Poincare group. Section 2.2 considers free particles in universes with a different dimension or geometrical signature to our own. Section 3 introduces gauge fields, and, via Derdzinski's interaction bundle approach, explains how connections satisfying the Yang-Mills equations correspond to the irreducible representations for `gauge bosons'. To explore the possible gauge fields, section 3.1 explains the classification of principal G-bundles over 4-manifolds, and section 3.2 expounds the structure theorem of compact Lie groups. Section 3.3 summarises the consequences for classifying gauge fields in other universes, and section 3.4 infers the structures used to represent interacting particles in other universes. The paper concludes in Section 3.5 by explaining the standard model gauge groups and irreducible representations which define interacting particle multiplets, and specifies the possibilities for such multiplets in other universes.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
John Earman (2002). Gauge Matters. Proceedings of the Philosophy of Science Association 2002 (3):S209--20.
Victor J. Stenger (1987). Was the Universe Created? Free Inquiry 7 (3):26-30.
Chris Smeenk (2006). The Elusive Higgs Mechanism. Philosophy of Science 73 (5):487-499.
Richard Healey (2007). Gauging What's Real. Oxford University Press.
Aharon Kantorovich (2009). Ontic Structuralism and the Symmetries of Particle Physics. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 40 (1):73 - 84.
Richard Healey (2009). Gauging What's Real: The Conceptual Foundations of Contemporary Gauge Theories. OUP Oxford.
Gordon McCabe (2005). Possible Physical Universes. Zagadnienia Filozoficzne W Nauce 37.
Tobias Fox (2008). Haunted by the Spectre of Virtual Particles: A Philosophical Reconsideration. [REVIEW] Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 39 (1):35 - 51.
Added to index2009-01-28
Total downloads16 ( #154,465 of 1,700,378 )
Recent downloads (6 months)8 ( #77,273 of 1,700,378 )
How can I increase my downloads?