We extend the basic formalism of mimetic-metric-torsion gravity theory, in a way that the mimetic scalar field can manifest itself geometrically as the source of not just the trace mode of torsion, but its axial (or, pseudo-trace) mode as well. Specifically, we consider the mimetic field to be (i) coupled explicitly to the well-known Holst extension of the Riemann–Cartan action, and (ii) identified with the square of the associated Barbero–Immirzi field, presumably a pseudo-scalar. The conformal symmetry originally prevaling in the theory would still hold, as the associated Cartan transformations do not affect the torsion pseudo-trace, and hence the Holst term. Demanding the theory to preserve the spatial parity symmetry as well, we show a geometric unification of the cosmological dark sector, and the feasibility of a super-accelerating regime in the course of evolution of the universe. From the observational perspective, assuming the cosmological evolution profile to be very close to that for \(\varLambda \)CDM, we further illustrate a smooth crossing of the so-called phantom barrier at a low red-shift, albeit with a restricted parametric domain. Subsequently, we determine the extent of the super-acceleration by examining the evolution of the relevant torsion parameters.

我们扩展了模拟量度扭力重力理论的基本形式主义，其方式是模拟量标量场可以在几何上体现为不仅是扭转轨迹模式的来源，还可以是其轴向（或伪轨迹）模式的来源。出色地。具体来说，我们认为模拟场是（i）与Riemann-Cartan动作的众所周知的Holst扩展明确耦合的，并且（ii）用相关的Barbero-Immirzi场的平方标识，大概是伪标量。该理论中最初盛行的共形对称性仍然存在，因为相关的Cartan变换不会影响扭转伪迹线，因此不会影响Holst项。要求理论也要保持空间奇偶性，我们展示了宇宙学暗区的几何统一，以及在宇宙演化过程中超加速机制的可行性。从观测的角度来看，假设宇宙演化轮廓非常接近于\（\ varLambda \） CDM，尽管参数域有限，但我们进一步说明了在低红移条件下平滑跨越所谓的幻像屏障。随后，我们通过检查相关扭转参数的演变来确定超加速的程度。