Perfect fluid dark matter effects on charged energy extraction from black holes in Kalb–Ramond gravity

We present an analytic study of charged particle dynamics and charge-assisted energy extraction around nonrotating black holes surrounded by perfect fluid dark matter in Kalb–Ramond gravity. The dark matter contribution and the Kalb–Ramond sector deform the near horizon geometry in a controlled way and generate a generalized electromagnetic ergoregion outside the event horizon, within which charged particles can access negative energy states under a monotone electrostatic potential. We characterize how the size of this region depends on the perfect fluid dark matter parameter and the Kalb–Ramond coupling, and we show that negative energy trajectories exhibit a universal behavior: they admit at most one radial turning point and inevitably terminate at the black hole. Building on this structure, we formulate a charged Penrose-type mechanism and derive compact analytic bounds on the escaping energy and on the maximum local efficiency, together with feasibility regions in the parameter space of the splitting radius and the particle charge. We also provide an illustrative time-dependent extension with charge decay and possible mass accretion, which tracks the evolution of the horizon and of the negative energy domain. These results offer a tractable framework for assessing how dark matter can reshape strong field charged energetics in modified gravity scenarios and for identifying potential imprints on high energy processes near black holes.