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The non-Keplerian rotation of the galaxies is actually among the most challenging troubles of the current theories with space and gravitation. The aim of this work is showing that the origin of this impasse is a wrong view about the nature of space and the gravitational physics. The Higgs theory introduces the real Higgs Quantum Space (HQS), giving mass to the elementary particles. This HQS thus rules the inertial motion of matter and propagates light. It is locally the ultimate reference fordoi:10.13189/ujpa.2015.090404 fatcat:tkjkl2iqlncsfftu2wmhsnpqfy