  A hypothetical non-dimerized Cu chain in equilibrium is a spin-\half atom
Mott insulator (AMI), eventhough its band width is high ~ 10 eV. This RVB
reservoir has a large exchange coupling J ~ 2 eV. This idea of, \textit{broad
band Mott localization} was used by us in our earlier works, including
prediction of high Tc superconductivity in doped graphene, silicene and a
theory for hot superconductivity reported in Ag-Au nanostructures (TP 2008). In
the present work we identify possible random AMI subsystems in Cu-Pb Apatite
and develop a model for reported hot superconductivity (LKK 2023). In apatite
structure, network of interstitial columnar spaces run parallel to c-axis and
ab-plane. They accomodate excess copper, as neutral Cu atom clusters, chains
and planar segments. They are our emergent AMI's. Electron transfer from AMI's
to insulating host, generates strong local superconducting correlation, via
phyics of doped Mott insulator. Josephson coupling between doped AMI's,
establishes hot superconductivity. A major Challenge to superconducting order
in real material is competing insulating phases - valence bond solid
(spin-Peirels)-lattice distortions etc. AMI theory points to ways of making the
\textit{elusive superconductivity} palpable. We recommend exploration of hot
superconductivity in the rich world of minerals and insulators, via metal atom
inclusion.
