El Naschie’s Cantorian gravity and Einstein’s quantum gravity

M. Agop and P. Craciun

Chaos, Solitons & Fractals, 2006, vol. 30, issue 1, 30-40

Abstract: A geometric formulation of the gravitation theory on a fractal space–time is given. Then, a connection is introduced on a tangent bundle, the connection coefficients, the Riemann curvature tensor and the Einstein field equations are calculated. We can characterize the “relative resolution parameter” as a ‘state scale’ of the coordinate system, as compared with Einstein’s formulation of the relativity principle, in which the relative speed characterize the movement state of the frame. In such a context, it results, by means of a dilation operator, the equivalence of this model with Einstein’s quantum gravity. Through the gravitational instantons synchronization, the correspondence with El Naschie’s gravity is established.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:1:p:30-40

DOI: 10.1016/j.chaos.2006.01.006

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