Abstract
Following a short discussion on the digital and the analog description of reality the most important digital feature of nature, the Periodic System of the Chemical Elements, is investigated. The symmetry pattern of the system emergies when the elements are arranged in an increasing atomic number order. Symmetry relatig to nuclear charge can only be possible if the positions of the nucleons are preserved. The size of protons and neutrons is almost the same. Thus the representation of the nucleons by equal spheres is adequate. Under the enormus nuclear force the nucleons predictably utilize the space in the most efficient way and arranged in a closest packing array. The basic building blocks of the closest packing arrangments are tetrahedrons and octahedrons. If someone wants to look for structural symmetry patterns then the expansion of these units should be investigated first. The first sequence of the Perodic System is completed by the four nucleons of Helium, indicating a tetrahedron “seed” for the nuclear structure. Assuming alternate proton and neutron arrangement in the lattice and investigating the expansion of tetrahedron it reveals that the lattice positions reproduces all of the quantum numbers. The reproduction is not only numerical but lattice positions represent the same physics described by quantum mechanics. Thus the nuclear lattice model offers a credible physical exlanation for quantum theory. In order to reproduce the sequences of the periodic system the core tetrahedron is alternately expanded into two directions forming a “double tetrahedron” shape. Based on this nuclear lattice model mathematical equations describing the sequencies of the periodic system are derived. Physical model explaining the identical symmetry of the nucleus and the electronic structure of the chemical elements is also presented.
Jozsef Garai