Analysis of electron configurations in terms of parity-supporting rotations returns the hydrogen spectrum with consequences for the orbital model

A centrally symmetric variant of Bohr’s atomic model was constructed according to first geometric principles, and entanglement of pairs of subatomic particles through invariant rotations that stabilize the system. Its base symmetry was constrained to 2-fold rotational symmetry corresponding to 2 electrons associated with the atomic ground energy state. The theory was constructed using two sets of invariant rotations of distinguishable and indistinguishable type, derived from spherical approximations, with information regarding the initial state of the system preserved throughout the geometric transformation. Superposition of alternating structures of the two types indicates that closing of electron shells may take place via formation of mirror symmetry through rotational invariance, and quantization of energy can be reconciled with observables in quantum mechanics. The resulting solution correlates subshells s-g with unique parity- supporting states, and subsequent subshells with their imitations, having double the number of electrons of the preceding subshell of a corresponding type.