Fractal Approximation of Motion and Its Implications in Quantum Mechanics

Maricel Agop, Daniela Magop, Elena Simona Bacaita

Department of Natural and Synthetic Polymers, Faculty of Chemical Engineering and Environmental Protection, “Gheorghe.
Physics Department, “Al. I. Cuza” University, Iasi, Romania.
Physics Department, Faculty of Machine Manufacturing and Industrial Management,.

DOI: 10.4236/ojm.2012.23005                

Abstract

Inconsistencies of some standard quantum mechanical models (Madelung’s, de Broglie’s models) are eliminated as- suming the micro particle movements on continuous, but non-differentiable curves (fractal curves). This hypothesis, named by us the fractal approximation of motion, will allow an unitary approach of the phenomena in quantum me-chanics (separation of the physical motion of objects in wave and particle components depending on the scale of resolution, correlated motions of the wave and particle, i.e. wave-particle duality, the mechanisms of duality, by means of both phase wave-particle coherence and wave-particle incoherence, the particle as a clock, particle incorporation into the wave and the implications of such a process). Moreover, correspondences with standard gravitational models (Einstein’s model, string theory) can be also distinguished.

Keywords

Fractals; Quantum Mechanics; Gravitational Models

Conflicts of Interest

The authors declare no conflicts of interest.

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