In the non-symmetric gravitational theory (NGT) the space-time metric \documentclass[12pt]{minimal}
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\begin{document}$g_{\mu\nu}$\end{document} departs from the flat-space Minkowski form \documentclass[12pt]{minimal}
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\begin{document}$\eta_{\mu\nu}$\end{document} in such a way that it is no longer symmetric, i.e. \documentclass[12pt]{minimal}
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\begin{document}$g_{\mu\nu} \ne g_{\nu\mu}$\end{document}. We find that in the most conservative such scenario coupled to quantum field theory, which we call minimally non-symmetric quantum field theory (MNQFT), there are experimentally measurable consequences similar to those from non-commutative quantum field theory (NCQFT). This can be expected from the Seiberg-Witten map which has recently been interpreted as equating gauge theories on non-commutative space-times with those in a field-dependent gravitational background. In particular, in scattering processes such as the pair annihilation \documentclass[12pt]{minimal}
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\begin{document}$e^ + e^- \to \gamma \gamma$\end{document}, both theories make the same striking prediction that the azimuthal cross section oscillates in \documentclass[12pt]{minimal}
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\begin{document}$\phi$\end{document}. However the predicted number of oscillations differs in the two theories: MNQFT predicts between one and four, whereas NCQFT has no such restriction.
