Complex Geometry of Nuclei and Atoms
High Energy Physics - Theory
2016-09-12 v1 Algebraic Geometry
Nuclear Theory
Abstract
We propose a new geometrical model of matter, in which neutral atoms are modelled by compact, complex algebraic surfaces. Proton and neutron numbers are determined by a surface's Chern numbers. Equivalently, they are determined by combinations of the Hodge numbers, or the Betti numbers. Geometrical constraints on algebraic surfaces allow just a finite range of neutron numbers for a given proton number. This range encompasses the known isotopes.
Cite
@article{arxiv.1609.02816,
title = {Complex Geometry of Nuclei and Atoms},
author = {M. F. Atiyah and N. S. Manton},
journal= {arXiv preprint arXiv:1609.02816},
year = {2016}
}
Comments
18 pages, 4 figures