Rejection of the hypothesis that Markarian 501 TeV photons are pure Bose-Einstein condensates

The energy spectrum of the blazar-type galaxy Markarian 501 (Mrk 501), as m easured by the High-Energy Gamma-Ray Astronomy (HEGRA) air Cerenkov telesco pes, extends beyond 16 TeV and constitutes the most energetic photons obser ved from an extragalactic object. A fraction of the emitted spectrum is pos sibly absorbed in interactions with low-energy photons of the diffuse extra galactic infrared radiation, which in turn offers the unique possibility to measure the diffuse infrared radiation density by exact TeV spectroscopy. The upper limit on the density of the extragalactic infrared radiation deri ved from the TeV observations imposes constraints on models of galaxy forma tion and stellar evolution. One of the recently published ideas to overcome severe absorption of TeV photons is based on the assumption that sources l ike Mrk 501 could produce Bose-Einstein condensates of coherent photons. Th e condensates would have a higher survival probability during the transport in the diffuse radiation field and could mimic TeV air shower events. The powerful stereoscopic technique of the HEGRA air Cerenkov telescopes allows us to test this hypothesis by reconstructing the penetration depths of TeV air shower events: air showers initiated by Bose-Einstein condensates are expected to reach the maximum of shower development in the atmosphere earli er than single photon events. By comparing the energy-dependent penetration depths of TeV photons from Mrk 501 with those from the TeV standard-candle Crab Nebula and simulated air shower events, we can reject the hypothesis that TeV photons from Mrk 501 are pure Bose-Einstein condensates.