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nomadreid replied to the thread I Elementary question about comparing notations of inner product.Thanks, fresh_42! -
nomadreid reacted to fresh_42's post in the thread I Elementary question about comparing notations of inner product with
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I don't think that this can be said in such a rigorous way. Yes, physicists use the bra-ket notation, and mathematicians usually use the... -
nomadreid replied to the thread I Elementary question about comparing notations of inner product.Thanks, fresh_42. I know that it's pure convention, but I am trying to understand the relations between the conventions. What is clear... -
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All expressions are additive in both arguments. Whether you consider the left one or the right one as a covector is a deliberate... -
nomadreid replied to the thread I Elementary question about comparing notations of inner product.anuttarasammyak, thank you for pointing out that I should have made precise that I was referring to complex vector spaces. I have... -
nomadreid posted the thread I Elementary question about comparing notations of inner product in Quantum Physics.First, I need to check that I have the 3 notations correct for an inner product in finite vector spaces over a complex field; v*... -
nomadreid reacted to PeterDonis's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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We won't know that for sure until we have a confirmed theory of quantum gravity. :wink: -
nomadreid reacted to pines-demon's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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Retaking this point. So basically the only idea here is that gravitational-based collapse is maybe not like the quantum mechanics we... -
nomadreid reacted to pines-demon's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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Oh right! It was the "quantum gravity" terminology that threw me off. Proving or disproving gravitational-based collapse does not mean... -
nomadreid reacted to PeterDonis's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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I don't think the research program referred to is to use quantum gravity to explain the brain specifically. I think it is to use quantum... -
nomadreid reacted to pines-demon's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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Just for sake of everything, I am not equating noncomputablity with nondeterminism, I am saying that quantum computing does not give you... -
nomadreid reacted to mitchell porter's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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Noncomputability is a different thing from nondeterminism. It's actually related to undecidability, as is seen in the halting problem... -
nomadreid reacted to pines-demon's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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This is what I find hand-wavy. It is well know that a classical computer can simulate anything a quantum computer can do (just in more... -
nomadreid reacted to PeterDonis's post in the thread I Prof Mike Wiest's proposed link between quantum and consciousness with
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It should be noted that there are plenty of others who disagree with this point of view. One of the most notable arguments against it... -
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It is not impossible that more years (decades?) of AI development will lead to conscious physical systems In which the underlying...