Abstract
Since the non-differentiability becomes a fundamental property of the motions space [1,2,3,4], a correspondence between the interaction processes and multifractality of the motion trajectories can be established. Then, for all scale resolutions, the geodesics equations (in the form of the Schrödinger equation of fractal type) and some applications (similarities between dynamics at atomic and cosmic scales) are obtained.
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Agop, M., Gavriluţ, A., Crumpei, G. (2018). Similarities Between Dynamics at Atomic and Cosmological Scales. In: Skiadas, C. (eds) Fractional Dynamics, Anomalous Transport and Plasma Science. Springer, Cham. https://doi.org/10.1007/978-3-030-04483-1_8
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