> On 14 Nov 2019, at 08:46, Philip Thrift <[email protected]> wrote: > > > > On Wednesday, November 13, 2019 at 6:05:08 PM UTC-6, Alan Grayson wrote: > > > On Wednesday, November 13, 2019 at 4:13:31 PM UTC-7, Philip Thrift wrote: > > > On Wednesday, November 13, 2019 at 4:59:25 PM UTC-6, Alan Grayson wrote: > > > On Wednesday, November 13, 2019 at 12:14:31 AM UTC-7, Philip Thrift wrote: > > > The Concept of Probability in Quantum Mechanics > Richard P. Feynman > 1951 > http://www.johnboccio.com/research/quantum/notes/Feynman-Prob.pdf > <http://www.johnboccio.com/research/quantum/notes/Feynman-Prob.pdf> > > Evolving Realities for Quantum Measure Theory > Henry Wilkes > September 28, 2018 > https://arxiv.org/pdf/1809.10427.pdf <https://arxiv.org/pdf/1809.10427.pdf> > > > @philipthrift > > The statistical interpretation of QM asserts that the probabilities refer > virtually solely to ensembles and not to individual > > > > I suppose. > > But this is more like the interpretation of probabilities as propensities. > > https://en.wikipedia.org/wiki/Propensity_probability > <https://en.wikipedia.org/wiki/Propensity_probability> : > > Propensities are not relative frequencies, but purported causes of the > observed stable relative frequencies. > > In addition to explaining the emergence of stable relative frequencies, the > idea of propensity is motivated by the desire to make sense of single-case > probability attributions in quantum mechanics > <https://en.wikipedia.org/wiki/Quantum_mechanics>, such as the probability of > decay <https://en.wikipedia.org/wiki/Radioactive_decay> of a particular atom > <https://en.wikipedia.org/wiki/Atom> at a particular time. > > > Sum over histories is also sum over possibilities - each possibility has a > propensity. > > @philipthrift > > The statistical interpretation could also fit the frequentist interpretation > of probability. Truthfully, it's not clear what propensity means; sounds > related to preferred bases, concerning which I have grave doubts. AG > > > > > Suppose you have the following product installed on your computer: > > > https://www.idquantique.com/wordpress/wp-content/uploads/Quantis-RNG-Products-500-x-400.png > > <https://www.idquantique.com/wordpress/wp-content/uploads/Quantis-RNG-Products-500-x-400.png> > > > Quantis Random Number Generator > https://www.idquantique.com/random-number-generation/products/quantis-random-number-generator/ > > Suppose you write a program that uses Quantis and it outputs > > 01101 (with probability 1/32) > > to the screen you are looking at. > > Do you think: > > A. There are 32 worlds that now exist and you-01101 are just in one of them, > but there are 31 other you-s out there?
Just saying that the output is “01101” is ambiguous. If that comes from a mixed state, the 31 others do not exist. If it was coming from the tensor product of 5 superpositions (each one with a factor 1/sqrt(2)), then the 31 other “worlds/histories” are realised. In that second case, you could have measure your output in another base, and distinguish if all bits are equal or not, for example, which means that the superposition were there. Bruno > > B. You-01101 is the one you that exists (in ine world), and all the possible > you-s that are not you-01101 have vanished. > > C. ? > > @philipthrift > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] > <mailto:[email protected]>. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/b77a9489-d26a-416c-94e9-747cd890ce2d%40googlegroups.com > > <https://groups.google.com/d/msgid/everything-list/b77a9489-d26a-416c-94e9-747cd890ce2d%40googlegroups.com?utm_medium=email&utm_source=footer>. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/D1B010D3-563C-4827-865C-91B311478757%40ulb.ac.be.
