2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49942A geometric theory of brane-worlds with large or non-compact extra dimensions is presented. It is shown that coordinate gauge independent perturbations of the brane-world correspond to the Einstein-Hilbert dynamics derived from the embeddings of the brane-world. The quantum states of a perturbation are described by Schrödinger's equation with respect to the extra dimensions and the deformation Hamiltonian. A gauge potential with confined components is derived from the differentiable structure of the brane-world8 pages, twocolumn revtex, no figures. Added references, corrected typos and given a new presentationHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext