Speaker
Description
We reformulate spinor theory in a specific form, called ‘polar form,’ which relies solely on real variables, is independent of the particular representation of gamma matrices, and is manifestly covariant. In this form, the spinor field can be associated with a (fluid) continuum, and the corresponding Dirac theory can be reinterpreted as a type of hydrodynamics. We found that this effective spinor fluid exhibits, among other features, anisotropic pressures that have recently been measured inside the proton. We then apply the Ehlers-Ellis-Clarkson approach to relativistic hydrodynamics, known as the 1+1+2 covariant approach, to analyze the gravitation of spinor fields in hydrodynamic form. This method allows us to gain insights into the geometry of the gravitational fields produced by spinors, and to develop the essential systems of equations needed to explore a wide range of physical phenomena, from singularity theorems to Oppenheimer-Snyder gravitational collapse, to isotropic and anisotropic cosmologies.