S-wave pairing in a two-orbital t-J model on triangular lattice: possible application to Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O

This project is a companion repository to a specific theoretical physics paper (arXiv:2308.02469). Its value is strictly academic and tied to the 'LK-99' room-temperature superconductivity claims of 2023. The defensibility is very low (2) because the scientific consensus has largely shifted toward LK-99 being an insulator rather than a superconductor, rendering the model's specific application obsolete. From a software perspective, it is a reference implementation of a standard many-body physics model (t-J) applied to a niche lattice configuration. It lacks a user base, commercial angle, or infrastructure-grade code. Frontier labs like OpenAI or Google have no interest in building specific condensed matter models of this nature, but the project is 'displaced' by the natural progression of scientific peer review and the debunking of the underlying material's properties. It is highly reproducible by any computational physicist with standard libraries.