From the perspective of black hole physics, the present research examines the thermodynamic geometries of extremal and non-extremal black hole configurations in string theory and M-theory with 2, 3, 4, 5 and 6 charges. We analyzed the structure of state-space geometry, such as regularity, existence of critical points, lines, surfaces, hypersurfaces and associated phase transitions for BPS black holes, rotating black holes, black strings, black rings, multi-centered black branes, brane fractionation, Mathur"s fuzzballs, subensemble theory in string theory and bubbling black brane foam solutions in M-theory. Generically, we find that charged, anticharged and rotating black holes correspond to a weakly interacting equilibrium statistical basis over Gaussian fluctuations. The state-space and chemical fluctuations pertaining to the two parameter giants and superstars can be characterized as an ensemble of arbitrary liquid droplets or irregular shaped fuzzballs. The higher derivative...