2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51036Geodetic evolution of a de-Sitter brane is exclusively driven by a Higgs potential, rather than by a plain cosmological constant. The deviation from Einstein gravity, parameterized by the conserved bulk energy, is characterized by a hairy horizon which serves as the locus of unbroken symmetry. The quartic structure of the potential, singled out on finiteness grounds of the total (including the dark component) energy density, chooses the no-boundary proposal.4 pages, 2 eps figures, RevtexHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext