Caianiello's derivation of Quantum Geometry through an isometric embedding ofthe spacetime ({\bf M},\tilde{g}) in the pseudo-Riemannian structure ({\bfT^*M},g^*_{AB}) is reconsidered. In the new derivation, a non-linear connectionand the bundle %%@ formalism induce a Lorentzian-type structure in the4-dimensional manifold {\bf M} that is covariant %%@ under arbitrary localcoordinate transformations in {\bf M}. If models with maximal acceleration arerequired to be non-trivial, gravity should be supplied with other interactionsin a unification framework.
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