Ooguri, HirosiVafa, CumrunVerlinde, Erik2019-09-222005Ooguri, Hirosi, Cumrun Vafa, and Erik Verlinde. 2005. “Hartle–Hawking Wave-Function for Flux Compactifications: The Entropic Principle.” Letters in Mathematical Physics 74 (3): 311–42. https://doi.org/10.1007/s11005-005-0022-x.0377-90171573-0530http://nrs.harvard.edu/urn-3:HUL.InstRepos:41385042We argue that the topological string partition function, which has been known to correspond to a wave-function, can be interpreted as an exact "wave-function of the universe" in the mini-superspace sector of physical superstring theory. This realizes the idea of Hartle and Hawking in the context of string theory, including all loop quantum corrections. The mini-superspace approximation is justified as an exact description of BPS quantities. Moreover this proposal leads to a conceptual explanation of the recent observation that the black hole entropy is the square of the topological string wave-function. This wave-function can be interpreted in the context of flux compactification of all spatial dimensions as providing a physical probability distribution on the moduli space of string compactification. Euclidean time is realized holographically in this setup.en-USJournal Article2019-09-2210.1007/s11005-005-0022-x