Higgs Field as Architect of a Geodesically Complete Universe and Agent for New Physics in Interiors of Black Holes

TL;DR

This work addresses geodesic incompleteness in the SM+GR framework by introducing i(SM+GR), a locally scale-invariant theory in which the gravitational coupling is dynamical and splits spacetime into gravity and antigravity domains that are connected through traversable singularities. The Higgs sector, via the scalar pair $(\phi,s)$, enables electroweak symmetry restoration at singularities and drives a geodesically complete AdSSdS interior for black holes, yielding a unitary evolution and a novel resolution to the information paradox. A global KS/Penrose construction shows massless and certain massive geodesics can traverse horizons and singularities into antigravity regions, with the potential for information to flow rather than be lost, while low-energy phenomenology reproduces SM+GR. The framework also suggests observable signatures from modified exterior curvature around black holes and paves the way for AdS/CFT explorations of black hole interiors, offering a broad path toward integrating gravity with the Standard Model at a fundamental level.

Abstract

The Higgs boson is often compared to a small ripple on a vast, calm ocean. This "ocean" is the universal Higgs vacuum expectation value, about 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)xU(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.

Figures (5)

• Figure 1: Scalar field space.
• Figure 2: AdSSdS black hole
• Figure 3: Tortoise $r_\ast\left( r\right)$ .
• Figure 4: $uv\left( r\right) .$
• Figure 5: Penrose diagram $\left( \tilde{u},\tilde{v}\right)$, complete and causal.