I don't see any theological significance with the LHC.
The Large Hadron Collider is intented to test various predictions of high-energy physics, including the existence of the hypthesized Higgs boson, or the so-called "God Particle".
While use of this term may have contributed to increased media interest in particle physics and the Large Hadron Collider, many scientists dislike it as overstating the importance of the particle.
In a renaming competition, a jury of physicists chose the name "the champagne bottle boson" as the best popular name.
Higgs boson - Wikipedia, the free encyclopedia
Its funny how novelist like Dan Brown use these experiments to stir up the curiousity of people.
(Hinuon, ka-kwarta jud cya anang mga novel niya).
The novel Angels & Demons, by Dan Brown, involves antimatter created at the LHC to be used in a weapon against the Vatican. In response CERN published a "Fact or Fiction?" page discussing the accuracy of the book's portrayal of the LHC, CERN, and particle physics in general.
CERN - Spotlight: Angels and Demons
The movie version of the book has footage filmed on-site at one of the experiments at the LHC; the director, Ron Howard, met with CERN experts in an effort to make the science in the story more accurate.
So the CERN is true, the only twist was when the Vatican was in chaos because of the new discovery.
In reality, it does not have any theological significance.