One way of explaining the observed excess of cosmic-ray muons in the gamma -ray induced showers from the direction of Cygnus X-3 is to postulate a dramatic increase in the photonuclear cross section at energies above 10⁴ GeV. Such a model is examined here. It is demonstrated that there are apparently no objections to such behaviour, and indeed further anomalies in cosmic-ray physics might be explainable in this way.