1996/11/29 by Carlos Castro, Castro, Carlos · 1 citation
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Computational Physics and Python Applications #Earth Systems and Cosmic Evolution #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.hep-th/9612003
openalex publication_date 1996/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
First steps in incorporating Nottale's scale-relativity principle to string theory and extended objects are taken. Scale Relativity is to scales what motion Relativity is to velocities. The universal, absolute, impassible, invariant scale under dilatations, in Nature, is taken to be the Planck scale which is not the same as the string scale. Starting with Nambu-Goto actions for strings and other extended objects, we show that the principle of scale-relativity invariance of the world-volume measure associated with the extended objects ( Lorentzian-scalings transformations with respect to the resolutions of the world-volume coordinates) is compatible with the vanishing of the scale-relativity version of the β functions : βGμν=βX=0, of the target spacetime metric and coordinates, respectively. Preliminary steps are taken to merge motion relativity with scale relativity and, in this fashion, analogs of Weyl-Finsler geometries make their appearance. The quantum case remains to be studied.