Text: "Physical properties of de Broglie's phase waves." An important clarifying paper, and an account of de Broglie's introduction of phase waves, emphasizing that they are a relativistic concept. No "frequency associated with a traveling wave" is involved in phase waves. They are always superluminal, transfer no energy, and require no medium for propagation. Their velocity is dependent on the inertial frame of the observer; however, group velocity of interfering de Broglie waves constitutes the moving particle which generates one particular de Broglie wave, and that group velocity itself then has energy and momentum transfer. Significantly, both the frequency and the velocity of the phase wave depend on the electrostatic potential through which the electron is moving. De Broglie waves always travel faster than the speed of light in vacuum. Detection of superluminal entities such as die Broglie waves is not possible in a single interaction, but is quite possible in a dual interaction. Thus the two slit box, for example, first interferes die Broglie waves to form a subluminal group velocity, and then this subluminal group velocity is detected (moves or affects an electron) in a second interaction. American Journal of Physics. 50(4), Apr. 1982. p. 357-362.

See Also: die Broglie waves, probability waves, phase waves, superluminal velocity, group velocity, relativity, die Broglie, matter waves, duality principle, scalar electromagnetics, foundations of physics.

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