Nicolay
Your equation 1 is the same as equality of rest energy of particle and energy of the wave inside the particle with the energy as for photon: m c2 = h c / lambda . Then your deducing of de Broglie wavelength just similar to mine. Wave-particle duality is a consequence of internal standing electromagnetic waves in particles. When we recount with the help of Lorentz transformations these waves in the reference frame, where the particles moving, we find complex wave which amplitude have de Broglie wavelength. See Fedosin S.G. Fizika i filosofiia podobiia ot preonov do metagalaktik. Perm: S.G. Fedosin, 1999, 544 pages. ISBN 5-8131-0012-1. The reason for photon wave-particle duality is other. Every wave quantum (photon) consist of numerous small quanta from the very small charges of substance of electron, if this photon is radiated by the electron in atom. So photon is a particle but the particle is discrete and has wave properties.
About using of Schrodinger equations for planets and your formula (11) see:
1. M. Oliveira Neto, L.A. Maia, Saulo Carneiro. A DESCRIPTION OF EXTRA-SOLAR PLANETARY ORBITS THROUGH A SCHRテ-DINGER - TYPE DIFFUSION EQUATION. Advances in Space Dynamics 4, H. K. Kuga, Editor, pp 113-121. (2004).
2. Nottale, L., Schumacher, G., & Lefevre, E. T. Scale-relativity and quantization of exoplanet orbital semi-major axes. Astronomy and Astrophysics, 2000, Vol. 361,P. 379-387.
3. Nottale, L., Schumacher, G., Gay, J., Scale Relativity and Quantization of the Solar System, 1997, Astron. Astrophys., 322, 1018.
4. ANTUN RUBCIC and JASNA RUBCIC. THE QUANTIZATION OF THE SOLAR-LIKE GRAVITATIONAL SYSTEMS, FIZIKA B, Vol. 7 (1998) 1, P. 1-14.
5. ANTUN RUBCIC and JASNA RUBCIC. WHERE THE MOON WAS BORN? FIZIKA A Vol. 18 (2009) 4, P. 185-192.
I quite agree with you in that:
Quarks do not exist. Standard model - this is only an intermediate step in understanding the world.
Wave properties possessed by all objects with the potential field, not just the elementary particles. The substance of nucleons is hold by strong gravitation .
The minimum quantum of action is not a universal constant is suitable for all known interactions in nature. In particular I find quantum of action for the star level of matter and other levels.
Sergey Fedosin