The potential of future GRAND and POEMMA experiments to search for Lorentz invariance violation (LIV) in the neutrino sector via detection of ultra-high-energy tau neutrinos (up to ~10^17 eV) is investigated. Using the SimProp code, the flux of cosmogenic neutrinos was generated and probabilities of flavor transitions were calculated including higher-dimensional LIV operators. Deviations from standard oscillations show up as changes in expected tau neutrino event rates. An analysis for the case of one nonzero LIV operator showed that the projected sensitivity exceeds current limits by orders of magnitude. Scenarios with multiple LIV parameters were also considered, where their interplay can noticeably alter the sensitivity. Overall, the upcoming observations will set some of the most stringent limits on LIV.
The speed of light in a vacuum is physics' metronome: it sets the rhythm for all processes. If it falters, the familiar harmony collapses. Neutrinos—ubiquitous but almost intangible particles from space—can check if this rhythm ever stumbles under extreme conditions. Future detectors like GRAND and POEMMA will catch neutrinos at the highest energies, where any deviation would appear brightest. If the constancy of the speed of light is violated, neutrino types will transform into each other differently: there will be an anomalously high number of tau neutrinos.
Calculations promise that the new facilities will catch a rhythm glitch tens of times fainter than any previous experiment. Astonishingly, even a microscopic violation of the law of Lorentz and Einstein would cause not just a slight off-key note but a true cacophony—detectors would be flooded by a shower of particles of a single kind. And then the music of the universe would sound entirely new. Or the rhythm will prove flawless, and we will once again confirm its harmony.
🎯 Neutrinos are so elusive that trillions of them pass through your fingernail every second, hardly noticing you.