This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics". Their article raises interesting issues that mathematicians should pay more attention to, but it also perpetuates some widely held beliefs and attitudes that need to be questioned and examin...

A simple hadronic axion model is proposed in the framework of gaugemediated supersymmetry breaking. Dynamics of Peccei-Quinn symmetry breaking is governed by supersymmetry breaking effects and the Peccei-Quinn breaking scale fPQ is inversely proportional to the gravitino mass. The gravitino mass range which corresponds to the axion window fPQ ≃ 109 GeV – 1013 GeV lies in the region predicted by...

∗This work was supported by the Center for Statistics and the Social Sciences at the University of Washington with funds from the University Initiatives Funds. In addition, Quinn acknowledges research support under NSF Grant SES 01-36676. †Department of Political Science and CSSS, University of Washington, [email protected] ‡Department of Sociology, University of Washington, [email protected]...

Decadal trends in aerosol chemical composition at Barrow, AK: 1976–2008 P. K. Quinn, T. S. Bates, K. Schulz, and G. E. Shaw NOAA PMEL, 7600 Sand Point Way NE, Seattle, WA 98115, USA University of Alaska, 903 Koyukuk Dr., Fairbanks, AK, 99775, USA Received: 26 August 2009 – Accepted: 28 August 2009 – Published: 10 September 2009 Correspondence to: P. K. Quinn ([email protected]) Publishe...

Axions were first introduced in connection with chiral symmetry but are now being looked for mainly as dark matter. In this paper we introduce a nonabelian analogue of axions which can also be potential candidates Their symmetries, generalizations the Peccei-Quinn symmetry, interesting their own right. Detailed analysis, using fermion measure and zeta function approaches, shows that these symme...