The world as quantized minimal surfaces

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.

References in corpus (1)

• Fuzzy Riemann Surfaces

Cited by in corpus (11)

• Matrix Model Approach to Cosmology
• Signature change in matrix model solutions
• Matrix Model Cosmology in Two Space-time Dimensions
• Quantum (Matrix) Geometry and Quasi-Coherent States
• Fuzzy $C{P}^2$ Space-Times
• Noncommutative Static Strings from Matrix Models
• Dynamical phase space from a SO(d,d) matrix model
• Quasi-Static BMN Solutions
• Emergent geometry of membranes
• A noncommutative catenoid
• Quantum Minimal Surfaces