Is there a reason the Big Bang would be a private science (like time travel would be). Is the creation of a universe dangerous? Would there be any reason to this?
Not only within academic circles. Today, much of research is freely available to anyone through open access publishing or preprints on servers like arXiv. Just as a random example, these are the Higgs boson discovery papers from ATLAS and CMS:In general, fundamental research is freely shared within academic circles.