## Saturday, September 12, 2015

### Another Connection to the de Broglie Wavelength

I found another connection to the de Broglie wavelength, when I took account of time dilation due to relative motion between Dirac particles.  Assuming (after various authors) that a Dirac particle (such as the electron) consists of a point charge moving in a circulatory motion at the speed of light so that it has angular momentum of h-bar over two, then supposing one Dirac particle is stationary while another is moving, there will be a difference in frequency of the circulatory motion of one particle relative to the other.  It's easy to calculate both the frequency of the circulatory motion and the amount of time dilation, and so also to get a difference in frequency due to the time dilation.  The frequency difference depends on the speed of the relative motion.  It turns out that the de Broglie wavelength can be equated to the time traveled by the moving particle during one period of the difference frequency due to time dilation.