On a covariant version of Caianiello's Model

Details On a covariant version of Caianiello's Model On a covariant version of Caianiello's Model

2007-01-16

arxiv.org/abs/gr-qc/0701091v4

Gen.Rel.Grav.39:1833-1845,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures; notation clarified and other important changes

Scientific paper

10.1007/s10714-007-0491-6

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.

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