Bimetric gravity theories describes gravitational interactions in the presence of an extra spin-2 field. The Hassan–Rosen (HR) nonlinear massive minimal bigravity theory is a ghost-free bimetric theory formulated with respect a flat, dynamical reference metric. In this work the deformation quantization formalism is applied to a HR cosmological model in the minisuperspace. The quantization procedure is performed explicitly for quantum cosmology in the minisuperspace. The Friedmann–Lemaître–Robertson–Walker model with flat metrics is worked out and the computation of the Wigner functions for the Hartle–Hawking, Vilenkin and Linde wavefunctions are done numerically and, in the Hartle–Hawking case, also analytically. From the stability analysis in the quantum minisuper phase space it is found an interpretation of the mass of graviton as an emergent cosmological constant and as a measure of the deviation of classical behavior of the Wigner functions. Also, from the Hartle–Hawking case, an interesting relation between the curvature and the mass of graviton in a cusp catastrophe surface is discussed.

双轴引力理论描述了存在额外的spin-2场时的引力相互作用。Hassan-Rosen（HR）非线性大规模最小双引力理论是一种针对平面，动态参考度量制定的无鬼双参理论。在这项工作中，将变形量化形式化应用于微型超空间中的HR宇宙学模型。量子超宇宙中的量子宇宙学明确地执行了量化过程。制定了具有平坦度量的Friedmann-Lemaître-Robertson-Walker模型，并且对Hartle-Hawking，Vilenkin和Linde波函数的Wigner函数进行了数值计算，在Hartle-Hawking情况下，也进行了分析。从量子超超相空间中的稳定性分析，可以发现引力子质量的解释是新兴的宇宙学常数，是维格纳函数经典行为偏差的一种量度。同样，从哈特尔-霍金（Hartle-Hawking）案例中，讨论了在尖顶突变表面上的曲率和引力子质量之间的有趣关系。