The search for new physics (such as string theory) centers around trying to find evidence that relativity fails in particular cases.
These new theories can be exotic and contain many strange elements such as multiple beginnings and multiple universes. To the extent that such constructs exist, the singular beginning of the universe is undermined. However as pointed out in this article, speculators are going to need to wait for another day.
"Physicists working to disprove "Lorentz invariance" -- Einstein's prediction that matter and massless particles will behave the same no matter how they're turned or how fast they go -- won't get that satisfaction from muon neutrinos, at least for the time being, says a consortium of scientists...
The notion of a Lorentz-violating field has become popular among theoretical physicists. Known physical rules do not do a very good job of explaining the cataclysmically chaotic moments immediately following the Big Bang, so some physicists are developing new theories to sort out the mess."
