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On a covariant version of Caianiello’s model

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Abstract

Caianiello’s derivation of Quantum Geometry through an isometric embedding of the spacetime (M, g̃) in the pseudo-Riemannian structure (T*M, g* AB ) is reconsidered. In the new derivation, using a non-linear connection and the bundle formalism, we obtain a Lorentzian-type structure in the 4-dimensional manifold M that is covariant under arbitrary local coordinate transformations in M. We obtain that if models with maximal acceleration are non-trivial, gravity should be supplied with other interactions in a unification framework.

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  1. Ricardo Gallego Torrome

    Present address: Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

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  1. Calle Alicante 4-6, 46910, Benetusser, Spain

    Ricardo Gallego Torrome

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  1. Ricardo Gallego Torrome
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Correspondence to Ricardo Gallego Torrome.

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Torrome, R.G. On a covariant version of Caianiello’s model. Gen Relativ Gravit 39, 1833–1845 (2007). https://doi.org/10.1007/s10714-007-0491-6

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  • DOI: https://doi.org/10.1007/s10714-007-0491-6

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