The world as quantized minimal surfaces

TL;DR

This paper reveals that certain matrix equations central to M-theory describe noncommutative minimal surfaces, providing a geometric interpretation for these algebraic structures.

Contribution

It establishes a connection between matrix equations in M-theory and noncommutative minimal surfaces, offering a new geometric perspective.

Findings

Matrix equations describe noncommutative minimal surfaces

Provides solutions to key equations in M-theory matrix models

Links algebraic equations to geometric structures in physics

Abstract

It is pointed out that the equations $\sum_{i=1}^d [X_i,[X_i,X_j]]=0$ (and its super-symmetrizations, playing a central role in M-theory matrix models) describe noncommutative minimal surfaces -- and can be solved as such.