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**Zoran Majkic**

PhD in Computer Science

International Society for Research in Science and Technology

PO Box 2464 Tallahassee, FL 32316 - 2464 USA

We consider the 3-dimensional (3-D) model of the massive particles, represented as the rest-mass energy-density wave-packets, which is analog to the common physical objects which we experiment in our every-day life. This new theory is a completion of the statistical QM (where the wavefunctions represent the ensemble of measurements) by the QM theory for the individual particles. Then we provide an analysis of particle internal dynamic during their strong excitations caused by the sharp breaking of the 3-D vacuum symmetry during particle inertial propagation. Hence for that we use the three conservation laws for the compressive fluids: energy/matter, momentum, and internal energy. Consequently, we show the new method for computation of the cylindrical expansion (radial expansion w.r.t. the direction of particle propagation) of a massive elementary particle during an inertial propagation in a vacuum with a stable spherically symmetric rest-mass energy density distribution (in particle hydrostatic equilibrium), before an impact with a large and massive obstacle (barrier). This is used to explain also the double-slit experiments with massive particle as, for example, an individual electron. We also propose a practical method to test the QM completion based on these experiments.

- Double-slit experiment
- Particle internal dynamics
- Quantum Physics

- L. D. Landau and E. M. Lifshitz. Fluid mechanics.
*Volume 6, Second Edition of Theoretical Physics (First edition 1959), Translated by J. Sykes and W. Reid, Pergamon Press*, 1987 - R. Feynman, R. Leighton, and M. Sands. The Feynman lectures on physics.
*Addison Wesley, Reading, Vol. III*, 1965 - Z. Majkic. Partial differential equations for wave packets in the Minkowski 4-dimensional spaces.
*E-Journal Differential Equationsand Control Processes, N. 1 February 2011, Publisher: Mathematicsand Mechanics Faculty of Saint-Petersburg State University, Russia, http://www. math. spbu. ru/diffjournal/pdf/madjkic. pdf*, 2011 - Z. Majkic. Schrodinger equation and wave packets for elementary particles in the Minkowski spaces.
*E-Journal Differential Equations and Control Processes, N. 3 July 2011, Publisher: : Mathematicsand Mechanics Faculty of Saint-Petersburg State University, Russia, http://www. math. spbu. ru/diffjournal/pdf/madjkic. pdf*, 2011 - Z. Majkic. Differential equations for elementary particles: Beyond duality.
*LAP LAMBERT Academic Publishing, Saarbrucken, Germany*, 2013 - Z. Majkic. Completion and Unification of Quantum Mechanics with Einstein's GR Ideas, Part I: Completion of QM.
*Nova Science Publishers, New York, ISBN:978-1-53611-946-6, July*, 2017 - Z. Majkic. Completion and Unification of Quantum Mechanics with Einstein's GR Ideas, Part II: Unification with GR.
*Nova Science Publishers, New York, ISBN:978-1-53611-947-3, September*, 2017 - Z. Majkic. Hydrodynamic equilibrium and stability for particle's energy-density wave-packets: State and revision.
*E-Journal Differential Equations and Control Processes, N. 3, September 2018, Publisher: Mathematics and Mechanics Faculty of Saint-Petersburg State University, Russia, http://www.math.spbu.ru/diffjournal/pdf/madjkic.pdf*, 2018