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- W2163674675 abstract "Neutrino oscillations occur only if it is impossible to determine $nu$ mass by using conservation laws on measurements of nucleon-lepton system absorbing $nu$. No oscillations if $nu$ detector is mass spectrometer. Beam is split into components with different masses entering different counters. For each event only one counter will click and determine $nu$ mass. Condensed matter physics needed to describe the $nu$ detector, show it is not a mass spectrometer and identify which properties of the incident $nu$ are unobservable. Relativistic quantum field theory can only describe $nu$ wave function entering detector but not large uncertain momentum transfers to detector nor associated energy-momentum asymmetry. Absorption of incident $nu$'s with different momenta but same energy leaves no trace of initial $nu$ momentum difference in finite-size $nu$ detector with effectively infinite mass at rest in laboratory. Undetectable recoil-free momentum is transferred to the detector with negligible energy transfer. The Debye-Waller factor common in X-ray diffraction by crystals gives probability that absorbing $nu$'s with different momenta produce same nucleon-charged-lepton final state. Oscillations in time described in textbooks as interference between $nu$ states with different energies not observable in realistic experiments. Different energy $nu$'s not coherent because energy can be determined by measurements on initial and final states. Experiments detecting $nu$ produced by $pi to mu nu$ decay observe no electrons even though $nu$ mass eigenstates produce electrons. Electron amplitude canceled by interference between amplitudes from different $nu$ mass eigenstates with same energy and different momenta entering massive detector." @default.
- W2163674675 created "2016-06-24" @default.
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- W2163674675 date "2010-05-23" @default.
- W2163674675 modified "2023-09-27" @default.
- W2163674675 title "Why do neutrinos with different masses interfere and oscillate? Why are states with different masses but same energy coherent? Overcoming barrier between particle & condensed matter physics" @default.
- W2163674675 hasPublicationYear "2010" @default.
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