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Interpreting mathematics in physics: Charting the applications of SU(2) in 20th century physics

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  • Anderson, Ronald
  • Joshi, G.C.

Abstract

The role mathematics plays within physics has been of sustained interest for physicists as well as for philosophers and historians of science. We explore this topic by tracing the role the mathematical structure associated with SU(2) has played in three key episodes in 20th century physics – intrinsic spin, isospin, and gauge theory and electroweak unification. We also briefly consider its role in loop quantum gravity. Each episode has led to profound and new physical notions of a space other than the traditional ones of space and spacetime, and each has had associated with it a complex and in places, contested history. The episodes also reveal ways mathematical structures provide resources for new physical theorizing and we propose our study as a contribution to a need Roger Penrose has identified to develop a “profoundly sensitive aesthetic” sense for locating physically relevant mathematics.

Suggested Citation

  • Anderson, Ronald & Joshi, G.C., 2008. "Interpreting mathematics in physics: Charting the applications of SU(2) in 20th century physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 397-404.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:397-404
    DOI: 10.1016/j.chaos.2006.06.064
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    References listed on IDEAS

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    1. El Naschie, Mohamed Saladin, 2006. "Is gravity less fundamental than elementary particles theory? Critical remarks on holography and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 803-807.
    2. El Naschie, M.S., 2005. "On Penrose view of transfinite sets and computability and the fractal character of E-infinity spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 531-533.
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    Cited by:

    1. Halayka, S., 2009. "Some visually interesting non-standard quaternion fractal sets," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2842-2846.

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