Between a hot $(D+2)$ dimensional Tangherlini-AdS black hole and a cold quantum phonon gas in a $D$ dimensional non-metallic crystal in a $(D+1)$ dimensional plane Report exact matches. space-time. This agreement was achieved by using the recently proposed restricted phase-space formalism of black hole thermodynamics, the result of which can be viewed as a new contribution to his AdS/CMT correspondence at the quantitative level. I can do it.