On quantizing gravity and geometrizing quantum mechanics

We elaborate on some recent results on a solution of the Hilbert-space problem in minisuperspace quantum cosmology and discuss the consequences of making the (geometry of the) Hilbert space of ordinary nonrelativistic quantum systems time-dependent. The latter reveals a remarkable similarity between Quantum Mechanics and General Relativity.

کلیدواژه ها:

quantum gravity ، Hilbert-space problem ، geometric phase