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On the origin of space

  • Research Article
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Central European Journal of Physics

Abstract

Within the framework of fractional calculus with variable order the evolution of space in the adiabatic limit is investigated. Based on the Caputo definition of a fractional derivative using the fractional quantum harmonic oscillator a model is presented, which describes space generation as a dynamic process, where the dimension d of space evolves smoothly with time in the range 0 ≤ d(t) ≤ 3, where the lower and upper boundaries of dimension are derived from first principles. It is demonstrated, that a minimum threshold for the space dimension is necessary to establish an interaction with external probe particles. A possible application in cosmology is suggested.

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  1. GigaHedron, Berliner Ring 80, D-63303, Dreieich, Germany

    Richard Herrmann

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  1. Richard Herrmann
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Correspondence to Richard Herrmann.

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Herrmann, R. On the origin of space. centr.eur.j.phys. 11, 1212–1220 (2013). https://doi.org/10.2478/s11534-013-0315-0

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  • DOI: https://doi.org/10.2478/s11534-013-0315-0

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