http://www.bbc.co.uk/news/science-environment-26605974
http://bicepkeck.org/b2_respap_arxiv_v1.pdf
A rough summary of this paper is well-provided by the BBC, I think, but for the record this paper provides the claim that we have seen for the first time a direct sign of the existence of "Gravitational Waves". These are just about the only piece of the General Relativity Jigsaw left to be discovered to confirm the full predictions of Einstein's theory, so in that alone this is a hugely significant announcement.
But more than that: these are the gravitational waves that were emitted when the Universe itself was coming into existence, emitted some tiny fraction of a second after the Big Bang, during a period called "Inflation" when the Universe grew in size by something like 10^24 times larger than it started out, in some phenomenally small time scale. Essentially, then, this discovery not only means that our theories of Physics are correct, but allows us to claim with more conviction than ever before that those laws apply to the entire Universe for (almost) its entire history.
If this is true, this is one of the most significant announcements that there has been in Physics.