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It is shown that the basic observed properties of the gamma-ray bursts (GRBs)are accounted for if one assumes that the GRBs arise by blueshifting theemission radiation of hydrogen and helium generated during the last scatteringepoch. The blueshift generator for a single GRB is a region with a nonconstantbang-time function $t_B(r)$ (described by a Lema\^{\i}tre -- Tolman (L--T)exact solution of Einstein's equations) matched into a homogeneous andisotropic (Friedmann) background. Blueshift visible to the present observerarises \textit{only on those rays that are emitted radially in an L--T region}.The paper presents three L--T models with different Big Bang profiles, adaptedfor the highest and the lowest end of the GRB frequency range. The modelsaccount for: (1) The observed frequency range of the GRBs; (2) Their limitedduration; (3) The afterglows; (4) Their hypothetical collimation into narrowjets; (5) The large distances to their sources; (6) The multitude of theobserved GRBs. Properties (2), (3) and (6) are accounted for onlyqualitatively. With a small correction of the parameters of the model, theimplied perturbations of the CMB radiation will be consistent with thoseactually caused by the GRBs. A complete model of the Universe would consist ofmany L--T regions with different $t_B(r)$ profiles, matched into the sameFriedmann background. This paper is meant to be an initial exploration of thepossibilities offered by models of this kind; the actual fitting of allparameters to observational results requires fine-tuning of severalinterconnected variables and is left for a separate study.

Cosmological blueshifting may explain the gamma ray bursts