Size and shape of fuzzy spheres from matrix/membrane correspondence
Abstract
Abstract We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU ( N = 2 ) matrix model in D = ( 1 + 3 ) -dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expectation surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Diatoms and Algae Research
Publication details
- Journal / source
- Journal of Physics Communications
- Publisher
- IOP Publishing
- Volume
- 10
- Issue
- 9
- Pages
- 095005–095005
- Publication date
- 1 September 2026
- Language
- EN