# Generalized Elko Theory

## TL;DR

This paper generalizes Elko theory using totally antisymmetric spinor fields, compares it with Dirac-based theories, and explores potential links to matroids, qubits, and surreal numbers, opening new avenues in theoretical physics.

## Contribution

It introduces a generalized Elko theory with totally antisymmetric spinor fields and discusses its connections to other mathematical structures, expanding the theoretical framework.

## Key findings

- Comparison with Dirac-based theories highlights differences.
- Potential links to matroids, qubits, and surreal numbers are proposed.
- The formalism broadens the scope of Elko theory.

## Abstract

By using a totally antisymmetric spinor field we generalize Elko theory. We compare our proposed theory with traditional totally antisymmetric spinor field theory based on the Dirac equation. As an application of our formalism we comment about the possibility to link our generalized Elko theory with matroids, qubits and surreal numbers.