标题： 一个关于$\sim$PeV 中微子能量截止的关联论证 显示英文标题

标题： A Relational Argument for a $\sim$PeV Neutrino Energy Cutoff

摘要： 我们提出一个关系式，E_\nu ^{最大值} = m_{\nu } M_{普朗克}/M_{弱的}，在最高观测中微子能量（约PeV）和中微子质量、弱尺度以及普朗克能量之间。 然后我们讨论了这个关系的一些测试，并提出了一些理论构造来激发这个关系。 有可能所有带质量的粒子都受到由类似关系给出的最大能量的限制，尽管只有中微子似乎能够提供有趣的现象学。 我们讨论了包括在高于PeV的能量下没有中微子探测，以及对最高能量宇宙射线的期望变化在内的影响。 这个假设的优点是，如果观察到能量远高于PeV的中微子，它很容易被否定。 一个几乎不可避免的结论是，洛伦兹不变性是一个低能原理，但似乎违反可能只能在高能天体物理中微子中观测到。 显示英文摘要

摘要： We present a relationship, E_\nu^{max} = m_{\nu} M_{Planck}/M_{weak}, among the highest observed neutrino energy (~PeV) and the neutrino mass, the weak scale, and the Planck energy. We then discuss some tests of this relationship, and present some theoretical constructs which motivate the relationship. It is possible that all massive particles are subject to maximum energies given by similar relationships, although only the neutrino seems able to offer interesting phenomenology. We discuss implications which include no neutrino detections at energies greater than PeV, and changes in expectations for the highest energy cosmic rays. A virtue of this hypothesis is that it is easily invalidated should neutrinos be observed with energies much great than the PeV scale. An almost inescapable implication is that Lorentz Invariance is a low energy principle, yet it appears that violation may be only observable in high-energy astrophysical neutrinos.