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Measurements of cosmic neutrinos have a reach potential for providing aninsight into fundamental neutrino properties. For this a precise knowledgeabout an astrophysical environment of cosmic neutrinos propagation is needed.However this is not always possible, and the lack of information can bringabout theoretical uncertainties in our physical interpretation of the resultsof experiments on cosmic neutrino fluxes. We formulate an approach that allowsone to quantify the uncertainties using the apparatus of quantum measurementtheory. We consider high-energy Dirac neutrinos emitted by some distant sourceand propagating towards the earth in the interstellar space. It is supposedthat neutrinos can meet on their way to the detector at the earth a densecosmic object serving as a filter that stops active, left-handed neutrinos andletting only sterile, right-handed neutrinos to propagate further. Such afilter mimics the strongest effect on the neutrino flux that can be induced bythe cosmic object and that can be missed in the theoretical interpretation ofthe lab measurements due to the insufficient information about theastrophysical environment of the neutrino propagation. Treating the neutrinointeraction with the cosmic object as the first, neutrino-spin measurement,whose result is not recorded, we study its invasive effect on the second,neutrino-flavor measurement in the lab.

Quantum witness and invasiveness of cosmic neutrino measurements