A bstract The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for metric. Based on previous numerical studies of this model, we provide evidence that the space-time is continuous infinite in extent, both space time, metric spatially flat. time evolution describes transition from string-theoretic phase to which SO(9) symmetry spontaneously brok...

The geometry of multi-parameter families quantum states is important in numerous contexts, including adiabatic or nonadiabatic dynamics, quenches, and the characterization critical points. Here, we discuss Hilbert-space eigenstates parameter-dependent random-matrix ensembles, deriving full probability distribution geometric tensor for Gaussian Unitary Ensemble. Our analytical results give exact...