Posted: Mar 01, 2012 12:52 pm
... The key to the maths might be to decide on a kind of loop to integrate GR over. I have already posted that it must be a 3-loop in 4 continuous spatial dimensions, rather than a 2-loop in 3, because 2-loops would predict the polarization of light as it crosses empty space, and this has been shown not to happen.
Also, there is a problem over integration limits. Brian Greene once criticised Smolin's loop integration, but only on the basis of an assumption of complete integration over the whole 3-D continuum, which would surely render it as a classical GR solution (if anything at all), because it would leave us with no quantization of space - ie it would be new maths, but not new physics.
Also, there is a problem over integration limits. Brian Greene once criticised Smolin's loop integration, but only on the basis of an assumption of complete integration over the whole 3-D continuum, which would surely render it as a classical GR solution (if anything at all), because it would leave us with no quantization of space - ie it would be new maths, but not new physics.