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14. Derivation of the Schrödinger equation from classical physics.

BOOK 14.1. Introducción.  ....................................................................................................... 93 14.2 Schrödinger Equation. 94   ......................................................................................... 94          Particle at rest . 94   ...................................................................................................... 94          Particle with Coulomb Potential 95   ......................................................................... 95 14.3 Conclusions . 96   ......................................................................................................... 96 In this section, the Schrödinger equation is deduced in a very simple manner. The starting point is the assumption that the Universe and particles are formed by four-dimensional Planck atoms. The wave function is the ratio between the kinetic energy that t...

13. Deriving Newton’s gravitational law from the Heisenberg’s uncertainty principle

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BOOK 13.1 Introduction  ...................................................................................................... 89 . 89 13.2 Quantum fluctuation. 90   ....................................................................................... 90 13.3 Conclusion   . 91 ....................................................................................................... 91 In this section we are going to see how the Newton ’s gravitation and the Heisenberg’s uncertainty principle are two different aspects of the same formula. Both formulae were obtained at different times and by different methods but with the same formula. 13.1 Introduction The universal gravitational law is physics classic law which describes the gravitational interaction between different bodies with mass. The Heisenberg’s uncertainty principle establishes the impossibility of letting certain physical magnitude pairs to be known with arbitrary accuracy. The Heisenberg’s in...

12. Quantum Phenomena

BOOK 12.1. Wave–Particle Duality as a Classic Phenomenon. 83   .............................. 83 12.2 The quantum tunnelling is a classical phenomenon   . 85  ............................. 85         Conservation of the angular momentum   .. 86  .............................................. 86 12.3. Conclusión   . 88  .......................................................................................... 88 The hypothesis that both the universe and particles have four spatial dimensions and the quantification of space allow the application of the equations of macroscopic classical physics to elementary particles, so that purely quantum phenomena such as quantum entanglement, the quantum tunnelling, and so on can be explained through classical physics. This section explains wave–particle duality as a unique phenomenon; the particle produces disruption of the medium (space, atoms, and time), generating a wave in the ...