tag:blogger.com,1999:blog-8148573551417578681.post4821723668545237091..comments2023-12-01T14:49:58.262-08:00Comments on Dark Buzz: Hoping for a mathematical understandingRogerhttp://www.blogger.com/profile/03474078324293158376noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-8148573551417578681.post-92185493472794793232012-09-28T21:29:08.277-07:002012-09-28T21:29:08.277-07:00I am not criticizing this foundational work. It is...I am not criticizing this foundational work. It is good and important work. It would be great is someone found a mathematical justification for the mass gap. I am just pointing out limits to what has been accomplished. Rogerhttps://www.blogger.com/profile/03474078324293158376noreply@blogger.comtag:blogger.com,1999:blog-8148573551417578681.post-27806707765357806752012-09-28T09:46:30.504-07:002012-09-28T09:46:30.504-07:00"Okay, they hope so. But we may never have a ..."Okay, they hope so. But we may never have a purely mathematical understanding of quantum reality."<br /><br />I don't think it's unreasonable to hope for a mathematically rigorous formulation of four-dimensional gauge theory. For one thing, people like Arthur Jaffe have already made huge strides towards a rigorous understanding of quantum field theory. We also have a good mathematical understanding of two-dimensional conformal field theory and three-dimensional topological field theory, and we can formulate classical Yang-Mills theory in a completely rigorous way. Finally, we have many theoretical tools at our disposal: various field theoretic dualities and the AdS/CFT correspondence.Bob Jonesnoreply@blogger.comtag:blogger.com,1999:blog-8148573551417578681.post-76198824582848664302012-09-28T06:27:00.502-07:002012-09-28T06:27:00.502-07:00The numerical approximations to the equations work...The numerical approximations to the equations work, but it is unclear whether the actual equations are good. So my point is why care if the actual equations are good?Craignoreply@blogger.comtag:blogger.com,1999:blog-8148573551417578681.post-36356138032652787782012-09-27T10:45:02.037-07:002012-09-27T10:45:02.037-07:00I agree that it is a good theory. I am just pointi...I agree that it is a good theory. I am just pointing out that it is not a theory that has been completely reduced to mathematics, as there are mathematical questions about the foundations.Rogerhttps://www.blogger.com/profile/03474078324293158376noreply@blogger.comtag:blogger.com,1999:blog-8148573551417578681.post-33832442190290182512012-09-27T10:02:56.231-07:002012-09-27T10:02:56.231-07:00Who cares? As long as it works to make predictions...Who cares? As long as it works to make predictions, it's a good theory.Craignoreply@blogger.com