Authors: C A Brannen
Density matrices can be used to describe ensembles of particles in thermodynamic equilibrium. We assume that the density matrices are a more natural description of quantum objects than state vectors. This suggests that we generalize density matrices from the usual operators on a Hilbert space to be elements of an algebra. Using density matrix renormalization to change the temperature of the ensembles, we show how the choice of algebra determines the symmetry and particle content of these generalized density matrices. The symmetries are of the form SU(N)xSU(M)x...U(1). We propose that the Standard Model of elementary particles should include a dark matter SU(2) doublet.
Comments: 18 Pages. For submission to Foundations of Physics. Acknowledgements to be added after review by friends.
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[v1] 2016-03-23 07:22:53
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