Duality, matroids, qubits, twistors and surreal numbers

TL;DR

This paper reveals deep mathematical connections between duality, matroids, qubits, twistors, and surreal numbers through Grassmann-Plücker relations, proposing their potential role in quantum gravity's foundational structures.

Contribution

It uncovers a unifying framework linking diverse mathematical concepts and conjectures their significance in the context of quantum gravity.

Findings

Identifies Grassmann-Plücker relations as a common foundation

Proposes a unified perspective on seemingly unrelated concepts

Suggests potential relevance to quantum gravity theories

Abstract

We show that via the Grassmann-Pl\"ucker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors and surreal numbers are, in fact, deeply connected. Moreover, we conjecture the possibility that these concepts may be considered as underlying mathematical structures in quantum gravity.