Description
Cartan Khronon framework provides a foundation for unconventional space-time structure with a clock field, dubbed ‘khronon’, which spontaneously breaks the symmetry between space and time. This allows gravitational theory to have a Spin(4) gauge structure with a Euclidean background. This talk aims to clarify the motivation for the Euclidean background, the procedure of dimensional Wick rotation, and provide a summary of phenomenological implications including dark matter effect that emerges as a by-product of gravitation, as well as recent developments in cosmology with the effect of spin current.