On Wed, Mar 5, 2014 at 4:47 PM, LizR <[email protected]> wrote: > If you have a continuum of inertial frames with velocities ranging from +c > to -c in all possible directions, how are you going to integrate over them? > Isn't there a measure problem over an uncountably infinite set? >
There's no inherent problem with defining measures on uncountably infinite sets--for example, a bell curve is a continuous probability measure defined over the infinite real number line from -infinity to +infinity, which can be integrated over any specific range to define a probability that a result will fall in that range. But as I've said, the problem is that although you can define a measure over all frames in relativity, if it looks like a uniform distribution when you state the velocity of each frame relative to a particular reference frame A, then it will be a non-uniform distribution when you state the velocity of each frame relative to a different reference frame B, so any such measure will be privileging one frame from the start. Jesse -- 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 post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
