  Caianiello's derivation of Quantum Geometry through an isometric embedding of
the spacetime ({\bf M},\tilde{g}) in the pseudo-Riemannian structure ({\bf
T^*M},g^*_{AB}) is reconsidered. In the new derivation, a non-linear connection
and the bundle %%@ formalism induce a Lorentzian-type structure in the
4-dimensional manifold {\bf M} that is covariant %%@ under arbitrary local
coordinate transformations in {\bf M}. If models with maximal acceleration are
required to be non-trivial, gravity should be supplied with other interactions
in a unification framework.
