On a covariant version of Caianiello’s model

• DOI: 10.1007/s10714-007-0491-6
• Publication Date: 2007-07-23T08:14:34Z
• Authors: Ricardo Gallego T...
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); 0103 physical sciences; FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); 01 natural sciences; General Relativity and Quantum Cosmology; Mathematical Physics

15 pages, no figures; notation clarified and other important changes<br/>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.<br/>