The fundamental movement of the “doubling theory”, developed in our preceding papers, is applied as a model of the dynamics of the solar system. It is shown that this model justifies and corrects the distances of the planets given by the Titius‐Bode law, and predicts new planets between the Kuiper Belt and the Oort Cloud. Indeed, the empirical Titius‐Bode law defines in an approximate way the distances of the planets to the sun, and becomes totally false for the most distant planets (Neptune and Pluto) and does not include the Oort Cloud and Kuiper Belt. The doubling theory is based on successive embedded finite structures of space‐time domain at different scale levels. The cycle of the doubling movement in the solar system corresponds to 25920 years. It is shown that this cycle defines the fine structure constant.

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