Abstract: In this talk, I will discuss some of the applications of Bridgeland stability conditions, which was originated from string theory, on Fargues-Fontaine curve. This leads us to the notion of continuum envelope on the curve and SL(2,Z) variants of Colmez-Fontaine‘s division algebra. Fargues-Fontaine curve presents strong similarity to elliptic curves and noncommutative tori in this perspective.