The flavour of gravity

By attaching five (complex) anticommuting property coordinates to the four (real) commuting spacetime ones, it is possible to accommodate all the known fundamental particles in their three generations. A general relativistic extension to spacetime-property can be carried out such that the gauge fields find their place in the space-property sector and the Higgs scalars in the property-property sector. The full curvature is the sum of the gravitational curvature, the gauge field Lagrangian and the Higgs field contribution; property curvature may be linked to the cosmological term. © 2006 IOP Publishing Ltd.