
TL;DR
This paper proposes a geometric framework extending spacetime with property coordinates to unify fundamental particles, gauge fields, and Higgs scalars within a gravitational setting, potentially linking property curvature to cosmology.
Contribution
It introduces a novel space-property extension of general relativity that incorporates all known particles and fields in a unified geometric model.
Findings
All fundamental particles fit into three generations within the model
Gauge fields and Higgs scalars are geometrically incorporated
Property curvature may relate to the cosmological constant
Abstract
By attaching five (complex) anticommuting property coordinates to the four (real) commuting space-time ones, it is possible to accommodate all the known fundamental particles in their three generations. A general relativistic extension to space-time-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.
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