Universal mass scale for bosonic fields in multi-brane worlds

In this paper we find an universal mass scale for all $p-$forms in multi-brane worlds model. It is a known fact the model provides ultralight mode fields. However, to get this, Lagrangians considered literature are not covariant. order solve propose covariant version multi-localize $q-$form As consequence of covariance, show that $q$-form fields have with same gravitational one. That way there modes bosonic This suggests new physics must emerge, theses fields, at scale. After that, revisit results consider crystal manyfold background Randall-Sundrum scenary (RS), and add discussion related geometrical couplings such configuration. The wave functions trapped Bloch-like waves, their behavior very similar electrons inside lattice, just like Kronig-Penney (KP). We compute dispersion relations those without dilaton coupling. leads band gap structure these case Kalb-Ramond field, correct relation, no between bands. Also, always field coupled dilaton, its first decreases. When generalization done, it possible suppress or generate by controlling coupling, differently what was argued previously.