In this talk I will review the possibilities for the PTOLEMY experiment to study neutrino physics under different points of view. The main scope of the experiment is to obtain the first direct detection of the cosmic neutrino background, which however is an extremely challenging task. I will discuss how the experimental energy resolution and the amount of tritium inside the detector affect the detection possibilities, depending on the true value of the lightest neutrino mass and on the clustering of relic neutrinos in the local dark matter halo.
I will also show that a small prototype of PTOLEMY with a reduced amount of tritium can reach interesting results, in particular it may be able to constrain and possibly determine the absolute scale of the neutrino mass with more precision than current experiments.
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