Spinor geometry

Abstract

In this paper the construction of the geometry begins with the assignment of a spinor (“spinor ether”) and the coordinates x _μ are constructed as a spinor product. It is shown that the corresponding space is a Friedmann space and the coordinates x _μ are Friedmann coordinates. The system of gravitational and field equations is closed. The theory contains eight real functions which specify both the reference system and the coordinate grid. The theory admits quantization of space-time and is free of the difficulties associated with inertia and the absolute character of flat space-time.