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Are you saying that you can not logically reach any alternative conclusion than the generally accepted BBT model unless you believe that there are flaws in GR?
Aren't there other assumptions / constants / absence of variables in the BBT model that you can attack?
I'm saying that given all we have learned about the universe through measurement and applying it to GR makes the BBT inescapable. You either have to doubt the empirical results, or you have to doubt GR.
The FRW metric applies to homogeneous and isotropic universes. WMAP, Planck, and other experiments have shown that averaged out over a large-scale, the universe very nearly conforms to those assumptions. Deviations from the assumptions can be theoretically
shown not to cause any
significant deviation from the metric with regards to metric expansion. Applying the Einstein field equations, one sees that an FRW space-time has a time-dependent scale factor. At a certain time the scale-factor takes on a value that leads to a singularity. This is collquially termed the big-bang. Unless you want to question the empirical results, I stand by my statement that the FRW metric, and thus the BBT is a logically inescapably consequence of GR. (Note, for very specific initial conditions the scale factor is stationary, and the universe doesn't change. Einstein forced it to be that way, and later called that the biggest blunder of his career.) It should be noted that the BBT stands on a slew of further arguments and evidence, however that is beyond the point I think you were making.
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Just out of curiousity, when you say you work on lattice QCD/QGP, does that entail any actual lab work? That would be so cool. Most of the people that I talk to that work in small particle physics though are primarily working through math models (which is basically what Al did for a living, so not trying to make this a slight at all).
I've worked with data from RHIC, but I'm not involved with any of the actual lab work there. I have friends who do that stuff, though. Most of my work is mathematical and computational.