This repository contains the manuscript, supplementary figures, and numerical code for a study of the A7 potential, an effective central potential for atomic systems motivated by Orlhes Theory. In the Orlhes framework, discrete proper‑time sampling is used as a modeling principle to motivate corrections to the Coulomb potential. This leads to a three‑parameter potential composed of a Gaussian short‑range core and a smoothed Coulomb tail, with parameters that are independent of the atomic number Z . By solving the radial Schrödinger equation with the A7 potential for Z = 1 – 60 , the work demonstrates a structured hierarchy of bound‑state energies, including shell‑like groupings, subshell crossings, and periodic changes in the least‑bound (valence) state. These features qualitatively resemble familiar aspects of atomic periodicity, such as the emergence of s -, p -, d -, and f -like regions and characteristic reordering patterns, despite the absence of explicit electron–electron interactions or configuration‑dependent parameters. The A7 potential thus serves as a concrete realization of ideas originating in Orlhes Theory, while remaining fully compatible with the standard quantum‑mechanical formalism. The repository includes: the full manuscript describing the A7 potential and its connection to Orlhes Theory, supplementary figures illustrating the potential, its decomposition, and the resulting spectra, a minimal Python implementation for computing A7 energy levels. This dataset is intended as a reference for researchers interested in effective atomic potentials, model‑based studies of atomic structure, and sampling‑inspired approaches such as Orlhes Theory.
jk Chow (Wed,) studied this question.