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Zeta is a time-like coordinate in the 6-dimensional Riemannian space M. So you are kind of right, it is an asymptotic time-like singularity but in the Riem. space M.
How did you like Ali's blog entry? Do you have comments or questions? Feel free to ask! :)
Amazing. Beautiful blog. Some things went over my head but it was understandable for the most part. I was really dxciexc for this one and it didn't disappoint me.
The only fact that disappointed me here was that we hit a singularity.
Also, 'All geodesics in M reach zeta = 0'; Does that mean this theory is inconsistent with general relativity too? because I've never heard such a thing happen in general relativity.
Glad that you enjoyed the read.
In general relativity we do indeed have a similar analogy. Geodesics of particles beyond the Schwarzchild radius of a blackhole will always end up in the blackhole. Is our universe also going to end up in some kind of singularity? Scientists hope that by studying blackhole and their structure we can know more about our own universe and its structure. I.e. studying the parts to study the whole.
Maybe a bit naively asked, but you mention this singularity @ zeta equals zero. What exactly is zeta? Intuitively, I would think that would be some kind of asymptotic singularity in this superspace....
Thank you for the blog!!