Superconductivity: Theoretical procedures and experimental protocol (Topical review)

The current situation in high-Tc superconductivity of the hydrides H3S, LaH10, and related compounds has been considered from a methodological viewpoint. Both the physical theoretical and historical backgrounds have been presented and analyzed. The necessity of procedural purity in theory and the compliance with experimental protocol has been discussed. It has been shown that it is too early now to fully recognize the sensational results on hydride superconductivity.