One interesting fact is that under the assumption there is no new physics (no new phenomenon beyond the Standard Model), the universe is metastable. This can be deduced from the precision measurement of the masses of the fundamental particles like the W-boson, the top quark and the Higgs boson. However, the time needed to move from one vacuum (the local minimum of the potential) to the true minimum of the potential is large enough. This being said, the assumption that there is no new phenomenon between the currently probed TeV energy scale and the Planck scale is very strong (and very unnatural).