On the origin of space

• Authors: Richard Herrmann
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

fractals and nonlinear dynamics; quantum mechanics; Schrödinger equation; cosmology

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1212-1220

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Richard Herrmann

• GigaHedron, Berliner Ring 80, D-63303, Dreieich, Germany

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Identifiers

DOI

10.2478/s11534-013-0315-0