In this study, authors investigate a novel framework incorporating exponential electrodynamics and d-dimensional energy-dependent massive gravity. Our focus lies in demonstrating that a nonlinear electromagnetic field, acting as the gravitational source, leads to an accelerated expansion of the universe. Employing massive gravity’s rainbow as a catalyst for cosmic evolution, the big bang singularity inherent in the model is successfully eliminated. This analysis reveals that the synergy between the magnetic universe and massive gravity’s rainbow is the underlying cause of the observed accelerated cosmic expansion. The classical stability during the deceleration phase and ensure the causality of the model are established. Additionally, we delve into 4-dimensional energy-dependent cosmology. Furthermore, approximations for key cosmological parameters such as the running of the spectral index, tensor-to-scalar ratio, and, the spectral index are presented. These estimations closely align with observational data from PLANCK and WMAP, providing valuable insights into the compatibility of the proposed model with empirical evidence.

在这项研究中，作者研究了一种结合指数电动力学和 d 维能量依赖的大重力的新颖框架。我们的重点在于证明非线性电磁场作为引力源会导致宇宙加速膨胀。利用巨大的引力彩虹作为宇宙演化的催化剂，模型中固有的大爆炸奇点被成功消除。这项分析表明，磁性宇宙和大质量引力彩虹之间的协同作用是观测到的宇宙加速膨胀的根本原因。建立了减速阶段的经典稳定性并确保了模型的因果关系。此外，我们还深入研究了 4 维能量相关宇宙学。此外，还提出了关键宇宙学参数的近似值，例如光谱指数的运行、张量与标量的比率以及光谱指数。这些估计与 PLANCK 和 WMAP 的观测数据密切相关，为所提出的模型与经验证据的兼容性提供了宝贵的见解。