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arXiv:1006.1988 · Applied Physics B

Inertial and gravitational mass in quantum mechanics

E. Kajari, Nathan L. Harshman, Ernst Maria Rasel, Stig Stenholm, Georg Süssmann, W. P. Schleich

Published Jun 17, 2010• 64 citations
arXivHTMLPDF
DOI
10.1007/s00340-010-4085-8

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Recently, we have presented the local-ether model of propagation of electromagnetic wave. This new classical model accounts for a wide variety of propagation phenomena, including the gravitational effects associated with the deflection of light by the Sun and the increment in interplanetary radar echo time, which are commonly ascribed to the general relativity. In this investigation, based on the local-ether model, a wave equation incorporating the gravitational potential, the electric scalar potential, and a natural frequency is proposed for the matter wave associated with a charged particle. The local-ether wave equation leads to a time evolution equation similar to Schrödinger's equation. Then both the gravitational and the electrostatic forces are derived in a quantum-mechanical approach. Furthermore, it is found that the gravitational mass and the inertial mass are identical to the natural frequency, aside from a common scaling factor. Thus the identity of gravitational and inertial mass is also derived from the local-ether wave equation.