Journal of Physics Communications· 2026Q2
Size and shape of fuzzy spheres from matrix/membrane correspondence
- 1citations
- Q2SCImago
- 2026year
Short summary
Ground state fuzzy spheres, when projected, appear as ellipses with geometric properties (area, perimeter, eccentricity) that deviate significantly from classical mechanics.
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Key points
- Projected fuzzy spheres from a matrix model appear as ellipses.
- Estimates for expectation surface areas, perimeters, and eccentricities were derived.
- Geometric constants of quantum membranes differ significantly from classical mechanics.
- The study utilizes a regularized SU(2) matrix model in D=(1+3) spacetime.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of Physics Communications, 2026 · DOI ↗
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Field: Management Science and Operations Research
Management Science and Operations ResearchDecision Sciences