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Grassmannian duality and the particle spectrum


Delbourgo, R, Grassmannian duality and the particle spectrum, International Journal of Modern Physics A, 31, (26) Article 1650153. ISSN 0217-751X (2016) [Refereed Article]

Copyright Statement

Copyright 2016 World Scientific Publishing Company

DOI: doi:10.1142/S0217751X16501530


Schemes based on anticommuting scalar coordinates, corresponding to properties, lead to generations of particles naturally. The application of Grassmannian duality cuts down the number of states substantially and is vital for constructing sensible Lagrangians anyhow. We apply duality to all of the subgroups within the classification group SU(3) SU(2)L SU(2)R, which encompasses the standard model gauge group, and thereby determine the full state inventory; this includes the definite prediction of quarks with charge −4/3 and other exotic states. Assuming universal gravitational coupling to the gauge fields and parity even property curvature, we also obtain 4 sin2 θ𝓌 = 1 − 2α/3αs which is not far from the experimental value around the MZ mass.

Item Details

Item Type:Refereed Article
Keywords:unification, gravity, Standard Model, particle spectrum, weak angle
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:111598
Year Published:2016
Deposited By:Mathematics and Physics
Deposited On:2016-09-25
Last Modified:2017-11-01

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