Jak{\o}bczyk L., Inst. of Theor. Phys. Wroc{\l}aw, Poland Stochastic process corresponding to the photon field in the non-positive gauge. (16K, LaTeX) ABSTRACT. The prperties of generalized stochastic process without reflection positivity corresponding to the photon field are studied in the context of the reconstruction of algebraic quantum system on the Krein space.