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Volume 23: Pages 334-336, 2010

Lorentz transformations and wave-particle unity

Hüseyin Yılmaz 1

1362 Harvard Street, Cambridge, Massachusetts 02138, USA

The Lorentz transformation of special relativity is derived here from a synthesis of particle velocity v and wave velocity u via the relation uv=c2 for any elementary particle. Here, u is the particle’s phase velocity E/p (where E and p are the particle’s respective energy and momentum), the zero of p corresponds to zero v with respect to the observer, and the zero of E corresponds to zero potential difference with respect to the observer. The wave-particle unity dictated by uv=c2 is an essential ingredient in all wave mechanics, even in a gravity field.

Keywords: Special Relativity, General Relativity, Quantum Mechanics, Wave, Particle, Lorentz Transformation

Received: May 27, 2009; Accepted: April 2, 2010; Published Online: April 29, 2010