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We spectrally fit the GeV gamma‐ray flares that have recently been observed in the Crab nebula by considering a small blob Lorentz‐boosted towards us. We point out that the corresponding inverse Compton flare at the TeV–PeV region is more enhanced than synchrotron emission by a Lorentz factor squared (∼Γ 2 ). This already excludes    Γ  ≳  200    and it will be detected by future TeV–PeV observatories, such as the Cherenkov Telescope Array (CTA), the Tibet Air Shower plus Muon Detector (Tibet AS+MD) array and the Large High Altitude Air Shower Observatory (LHAASO), for    Γ  ≳  30   . We also show that PeV photons emitted from the Crab nebula are absorbed by cosmic microwave background radiation through electron–positron pair creation.

Gamma‐ray flare and absorption in the Crab nebula: lovely TeV–PeV astrophysics