Authors: Tamas Lajtner
The de Broglie wavelength describes wave-particle duality. The de Broglie wavelength formula and the Planck law seem to be contradicted in tunneling. Tunneling fast waves have longer wavelengths than "normal" waves. According to the de Broglie formula, a longer wavelength means smaller momentum (smaller energy). But fast waves have the same amount of energy as normal waves, since they can be transformed into each other. This longer wavelength is not based on the refractive index of the barrier. The barrier in tunneling cannot be seen as an optical medium, rather a special kind of space made out of matter that other matter is able to use as space. Here we show that the 'rest actions', 'rest energies' of fast waves in different spaces can resolve the contradiction. This 'rest action' of the wave is a new concept that hasn't been considered. It is hidden in the Planck constant. In uncovering this part, we find that the Planck constant has two parts; one part shows the 'rest action', 'rest energy' of fast wave and another part shows the 'kinetic action', 'kinetic energy' of fast waves. The Planck constant seems to have a more general role than we have previously thought. Fast waves are made out of normal waves (or particles). Fast wave is the same particle in a different form. The Fast Wave–Wave–Particle Triality describes a new kind of metamorphosis of matter— how tunneling electrons travel faster than light without violating special relativity. Using the Fast Wave–Wave–Particle Triality, we can realize that the speed of light is not a speed limit for particles with mass, since they can be transformed into fast waves. The Fast Wave–Wave–Particle Triality shows the end of scope of the special theory of relativity, and opens a new worldview.
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