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Oscillations of neutrinos and quantum mechanics : evidence for dark matter

Abstract : We argue that the present classical formalism of neutrino oscillations is just simply approximate (cf. PDG 2006), and should thus still require various second-order corrections : internal kinematic dispersion from internal mass dispersion; apparent violation of Lorentz invariance though transitions of the kind m1=m2, yielding energy shifts (m2^2-m1^2)/(2E) between different mass eigenstates, and made salient in phase factors; and so, necessary transfers of quadri-impulsion with any medium, even vacuum; existence of ether "dark matter", weakly interacting, thus implied in vacuum oscillations; actual violation of some deeply rooted principles of "quantum mechanics" (:corpuscular elementarity, orthogonality of eigenstates amplitudes, Wigner's rules of super-selection, Heisenberg's relations of uncertainty); non-hermiticity of the Hamiltonian operator, involving finite proper lifetimes in rest frames; neutrino mass matrices duly of the "CKM" type, as for quarks; "ubiquity" concept and existence of "probability waves", instead of matter waves, giving serious credibility to the paradoxical lemma of intense radiation from the vicinity of the so-called "black holes" and "pulsars" (thus faking genuine "white wells"). Spontaneous pair creation of zero-mass neutrinos, with finite opposite momenta, may explain the paradoxical excess of "dark energy" over "dark matter", overwhelming at cosmological scales.
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Contributor : Dominique Girod <>
Submitted on : Tuesday, September 11, 2007 - 2:25:36 PM
Last modification on : Friday, April 10, 2020 - 5:29:07 PM


  • HAL Id : in2p3-00171067, version 1


M. Laloum. Oscillations of neutrinos and quantum mechanics : evidence for dark matter. Semaine de l'Astrophysique Française (SF2A 2007), Jul 2007, Grenoble, France. ⟨in2p3-00171067⟩



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