The detection of the high-energy (∼290 TeV) neutrino coincident with the flaring blazar TXS 0506+056, the first and only 3σ neutrino-source association to date, provides new, multimessenger tests of the weak equivalence principle (WEP) and Lorentz invariance. Assuming that the flight time difference between the TeV neutrino and gamma-ray photons from the blazar flare is mainly caused by the gravitational potential of the Laniakea supercluster of galaxies, we show that the deviation from the WEP for neutrinos and photons is conservatively constrained to have an accuracy of ${10}^{-6}\text{–}{10}^{-7}$, which is 3–4 orders of magnitude better than previous results placed by MeV neutrinos from supernova 1987A. In addition, we demonstrate that the association of the TeV neutrino with the blazar flare sets limits on the energy scales of quantum gravity for both linear and quadratic violations of Lorentz invariance (LIV) to $E_{\mathrm{QG},\mathrm{1}}>3.2\times {10}^{15}\text{–}3.7\times {10}^{16}$ GeV and $E_{\mathrm{QG},\mathrm{2}}>4.0\times {10}^{10}\text{–}1.4\times {10}^{11}$ GeV. These improve previous limits on both linear and quadratic LIV energy scales in neutrino propagation by 5–7 orders of magnitude.

高能量（~290 TEV）与耀变TXS 0506扩口+ 056，第一和只有3中微子重合的检测σ中微子源关联到日期，提供的弱等效原理（WEP）和新，multimessenger测试洛伦兹不变性。假设TeV中微子和来自blazar耀斑的伽马射线光子之间的飞行时间差主要是由星系Laniakea超级团的引力引起的，我们证明中微子和光子与WEP的偏差被保守地限制为具有精度为${10}^{-6}\text{–}{10}^{-7}$，这比1987A超新星的MeV中微子的结果要好3-4个数量级。此外，我们证明了TeV中微子与blazar耀斑的关联为线性和二次违反Lorentz不变性（LIV）的量子引力能级设置了限制${Ë}_{\mathrm{QG}，\mathrm{1个}}>3.2\times {10}^{15}\text{–}3.7\times {10}^{16}$ GeV和 ${Ë}_{\mathrm{QG}，\mathrm{2}}>4.0\times {10}^{10}\text{–}1.4\times {10}^{11}$GeV。这些将中微子传播中线性和二次LIV能级的先前限制提高了5-7个数量级。