Nanometer range: A new theoretical challenge for microelectronics and optoelectronics

The equation is identified, from a couple of odd percussions, which yields the pilot wave forming the aura of a particle in the space conjugate to the four-dimensional space of direct experience. This leads to a substitute of the Copenhagen Interpretation providing the frame for demonstrating Heisenberg's uncertainty principle through a theorem of Fourier analysis. Revisiting the method of space-time domain paves the way to a new era of developments, by considering that a trapped particle located in a bounded bi-dimensional space, having less than 1 eV of kinetic energy, should have an associated wavelength representing a fraction of a wave cycle. In order to face the challenge, a new optoelectronics concept is proposed to contend with the broadening of the frequency bandwidth for a particle-wave trapped in a single-electron box: quasi-virtual electrons, trapped in nanometric single-electron thin boxes, interact by absorption–emission processes with coherent electromagnetic radiations. The migration is proposed for nanoelectronic transistor fabrication from semiconductor to semi-refractor materials.