Unification of Spins and Charges in Grassmann Space?

TL;DR

This paper explores a theoretical framework unifying spins and charges within a higher-dimensional Grassmann space, deriving various fields and gauge interactions from geometric and algebraic structures.

Contribution

It introduces a novel approach to unify spins and charges using Grassmann space, connecting geometric generators to physical fields and gauge interactions.

Findings

Fields manifest as different spins and charges in four-dimensional subspace.

Gauge fields emerge from vielbeins and spin connections in Grassmann space.

Provides a geometric foundation for unification of fundamental interactions.

Abstract

In a space of d $(d > 5) $ ordinary and d Grassmann coordinates, fields manifest in an ordinary four-dimensional subspace as spinor (1/2, 3/2), scalar, vector or tensor fields with the corresponding charges, according to two kinds of generators of the Lorentz transformations in the Grassmann space. Vielbeins and spin connections define gauge fields-gravitational and Yang-Mills.