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Not an expert in the field. But I liked Centsov's theorem (when a metric comes from IG in the discrete case). I have not found a similar theorem for the general
by fithisux 10y ago
Not an expert in the field. But I liked Centsov's theorem (when a metric comes from IG in the discrete case). I have not found a similar theorem for the general case. Amari's book is hard to follow. There is a serious lack of pedagogical intro to the subject, something like a starter : The main ideas + achievements of the theory + how to use it. There is something in the theory very deep but Amari just scratches the surface.
Can you imagine if GR metrics come from IG?
- miles7 10y agoHave you heard about recent proposals that spacetime may emerge from quantum information measures? https://www.quantamagazine.org/20150428-how-quantum-pairs-stitch-space-time/ https://www.quantamagazine.org/20150428-how-quantum-pairs-st... In the article, entanglement is a precise mathematical notion that is like an information based metric measuring the distance of a quantum state tensor (wavefunction) from the manifold of rank 1 tensors.
- fithisux 10y agoNope, thank you miles7 If you have more material, just put it for all.