The Physical Role of Matter Waves

Paul Peter Urone, Roger A. Hinrichs

Vlad L. Negulescu

In various articles1 2, 3 , the author developed a mathematical model showing interesting applications in physics. The following article analyzes the coordinates transformation produced by a vectorial pseudo-rotation. The invariant quantities after a pseudo-rotation and the Doppler effect for light are also presented. Still, the paper's main purpose is to deduce the matter wave equation as the natural consequence of intrinsic properties of the "physical world" and its Hnumber representation. Ever since de Broglie formulated his hypothesis, the physics of matter waves was playing an important role in the field of the measurement technique4 . In the last decade, matter waves optics enabled numerous applications ranging from basic science to navigation or detection systems technologies.

Hyunhwan Choi

A study was carried out to explain a wave propagation of the relativistic energy that comes in the squared form. What looks physically incompatible concept of wave and particle was combined into a general wave of the complex energy. From the fact that the energy of matter is expressed by the squared form, a wave of the massless and massive energies was presented, which plays a role in the formation of matter wave. This study revealed that the energy is separated into the complex value with a imaginary mass that makes the wave different from the plane wave. The wave propagation is described by plugging the complex energy into the wavefunction, in which a modified mass-energy equivalence from the special relativity was used. From the fact that the energy of matter is consist of a complex value, it is also explained that the space around a rest-mass is a space with a imaginary mass. As a result, a general expression of matter and wave is described by the complex wave including an imaginary mass and a real momentum, by which a reasonable explanation is given for the radiation of mass energy, and explains the role of imaginary mass in the propagation of energy.

Hermann Haken, Hans Christoph Wolf

R. Bingham, José Tito Mendonça, Charles H.-T. Wang

One of the biggest unsolved problems in fundamental physics is the unification of quantum mechanics and general relativity. The lack of experimental guidance makes the issue particularly evasive. Recent models of decoherence demonstrated that conformal fluctuations of spacetime can change the correlation function of matter-waves. Latest progress on conformal decomposition in canonical gravity makes it possible for these decoherence models to be developed without freezing any degrees of freedom for general relativity. The new approach allows the roles of the conformal field and (spin-2) gravitational waves to be identified in the Brownian motion principle based on which Planck scale physics could be accessed. A spacecraft mission called Hyper was proposed to conduct matter-wave experiments in space. Orders of magnitude improvement may be gained by going into orbit reducing the effects of environmental interactions. Such experiments could put constraints on the upper bounds of measurements of decoherence of a matter-wave interferometer due to quantum fluctuations of spacetime.

Hermann Haken, Hans Christoph Wolf