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We focus here on the work of the italian physicist Ettore Majorana, and moreparticularly on his 1937 article on the symmetrical theory of the electron andthe positron, probably one of the most important theory for contemporarythought. We recall the context of this article (Dirac relativistic electronwave equation) and analyze how Majorana deduces his own equation from a verygeneral variational principle. After having rewritten Majorana equation in amore contemporary language, we study its implications in condensed matterphysics and their possible applications in quantum computing. Finally, wedescribe some of the consequences of Majorana approach to philosophy.

Majorana equation and its consequences in physics and philosophy