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Complex Geometry of Nuclei and Atoms (1609.02816v1)
Published 9 Sep 2016 in hep-th, math.AG, and nucl-th
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.