The Uncertainty in the Energy of the System

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In standard quantum mechanics, you can't form these two positions when it's different back here. So what I do is to sort of say, okay, well let's go through as best we can and see if there's a kind of error that you could attribute. And then... The vacuum is an interesting place in quantum field theory. It's because the gravitational field of the thing is different that you can't sort of have a consistent description of both fields at once.

Sir Roger Penrose has had a remarkable life. He has contributed an enormous amount to our understanding of general relativity, perhaps more than anyone since Einstein himself -- Penrose diagrams, singularity theorems, the Penrose process, cosmic censorship, and the list goes on. He has made important contributions to mathematics, including such fun ideas as the Penrose triangle and aperiodic tilings. He has also made bold conjectures in the notoriously contentious areas of quantum mechanics and the study of consciousness. In his spare time he's managed to become an extremely successful author, writing such books as The Emperor's New Mind and The Road to Reality. With far too much that we could have talked about, we decided to concentrate in this discussion on spacetime, black holes, and cosmology, but we made sure to reserve some time to dig into quantum mechanics and the brain by the end. See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.