The Higgs boson is often compared to a small ripple on a vast, calm ocean. This "ocean" is the universal Higgs vacuum expectation value, approximate to 246 GeV, permeating all space and generating particle masses. Its remarkable uniformity reflects the large-scale nature of the universe. Here I argue that the Higgs field plays a far deeper role. In regions of extreme gravity near singularities, it becomes a non-perturbative, space-time-dependent field that creates new space-time domains beyond gravitational singularities-new regions governed by antigravity. This mechanism produces dramatic dynamics inside black holes and in the earliest universe, including restoration of the electroweak symmetry SU(2)& times;U(1) at singularities. The adjoining gravity and antigravity regions form a geodesically complete space-time bridged by traversable singularities-absent in the Standard Model coupled to general relativity or its extensions such as string theory. In such a framework, the black hole information paradox admits a new, manifestly unitary resolution. Details of computations are developed in the companion paper [1]; here, only a brief outline is given.