Duality, matroids, qubits, twistors and surreal numbers

Abstract

We show that via the Grassmann-Plücker 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.

17 pages, published in Frontier in Physics

References in corpus (4)

• Anyons from Strings
• Qubits and oriented matroids in four time and four space dimensions
• Two and Three Qubits Geometry and Hopf Fibrations
• Phirotopes, Super p-branes and Qubit Theory

Cited by in corpus (1)

• Generalized Elko Theory