Quantum Mechanics Hypothesis of Solar System Structure: Quantum de Broglie Wavelength

Quantifying the energy of objects orbiting the Sun is not a novel concept. We have found that if we use the real quantum number associated with the real energy state of rotating bodies, quantization works well. This quantum number is very high for the main bodies or planets (10~70 to 76). However, since quantum energy levels are very high E and very low we observe that body can in practice occupy all orbits. As a result, the current stable positions of the bodies as they are currently viewed are the aggregate of the impacts of all other perturbing phenomena as well as the quantization. We expressed the genuine integer quantum numbers as a function of the planet Mercury in order to locate a quantum state with n=1 and discovered a good correlation. However, the search for a correlation of prediction of the average orbital radius of bodies using the simple integer number n=1,2,3,4,5,6,7 is not excellent for bodies beyond the planet Pluto. Indeed, so many trans-Neptunian bodies have identical integer quantum numbers, which complicates the sequence of integer numbers beyond 10. Moreover, it appears that the trans-Neptunian bodies seem to be grouped for many of them according to relatively well-defined bands. The study made it possible to question the de Broglie wavelength of bodies (10~-58 to -65m). Indeed, with the hypothesis of Planck’s quantities that would apply to the scale of the universe, it is difficult to conceive that de Broglie wavelengths are less than the Planck length lm. This led to an expression of the modified de Broglie wavelength m that predicts an asymptotic lower limit value equal to . With the help of this modified de Broglie wavelength, it is feasible to forecast the average orbital radius of bodies with more accuracy.