tag:blogger.com,1999:blog-8883034.post115692353174039047..comments2023-01-19T05:26:26.362+01:00Comments on atdotde: Re: Re:Roberthttp://www.blogger.com/profile/06634377111195468947noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-8883034.post-1157018199422012542006-08-31T11:56:00.000+02:002006-08-31T11:56:00.000+02:00Any Hilbert space such as for example the non-sepa...Any Hilbert space such as for example the non-separable polymer Hilbert space.Roberthttps://www.blogger.com/profile/06634377111195468947noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-1156952598838318472006-08-30T17:43:00.000+02:002006-08-30T17:43:00.000+02:00In other words, if I tell you which finite number ...<I>In other words, if I tell you which finite number of observations I am going to do and which values I expect then you can cook up a state in any Hilbert space that gives these values to any precission.</I><BR/><BR/>That was exactly the vibe I was getting off that section, but I hadn't gotten around to actually looking up the details.<BR/><BR/>Is it 'any' Hilbert space, or is it this huge awful nonseparable thing that seems to float around in LQG? (ISTR that in the 'shadow states' paper, they even take the algebraic dual of a dense subspace which is a positively frightening beast....)Anonymousnoreply@blogger.com