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Three months before his untimely death in Paris in July 1912, Henri Poincaré formulated the conjecture that Planck’s action element could (should) be regarded as constituting a “véritable atome”, i.e. an “atom of motion”, whose integrity arises from the fact that the “points” it contains are equivalent to one another from the standpoint of probability. In this paper we investigate the possibility that this conjecture provides a clue to the origin and nature of dark matter.
The elementary particles listed in the Standard Model of particle
physics have all in common a quantum mechanical attribute which has the
dimension of the xon, suggesting that the xon might be a structural ingredient
of matter. The xon should therefore be included as a full-fledged member in the
SM catalog of elementary particles.