Ultra high energetic neutrinos in their rest frame: can their time of arrival be determined?

Fedele Lizzi

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arXiv · 2509.24516

Ultra high energetic neutrinos in their rest frame: can their time of arrival be determined?

Fedele Lizzi

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Abstract

In the light of the recent observation by the KM3NeT collaboration of an ultrahigh energetic neutrino, we analyse it in its rest frame, where shortly after creation of the neutrino a muon arrives and interacts. Since the neutrino is at rest we use (in this first analysis) a non relativistic Gaussian wave function, and consider its spread. Due to the finite size of the packet, the time of the interaction of the muon will have an uncertainty. This uncertainty is small in the neutrino rest frame, but boosted to our frame, increases 18 orders of magnitude, making it extremely large. This effectively prevents the possibility of the observation of bursts, or the correlation with other events. A similar analysis for less energetic neutrinos show that the uncertainty is smaller than the duration of the observed bursts.

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Fedele Lizzi. 2025-09-29. Ultra high energetic neutrinos in their rest frame: can their time of arrival be determined?. https://arxiv.org/abs/2509.24516

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