Emergence of fractal cosmic space from fractional quantum gravity

Abstract: Based on Padmanabhan's theory, the spatial expansion of the Universe can be explained by the emergence of space as cosmic time progresses. To further explore this idea, we have developed fractional-fractal Friedmann and Raychaudhuri equations for an isotropic and homogeneous universe. Our analysis has also delved into how Padmanabhan's concept fits into the framework of fractional quantum gravity. Our research shows that a fractal horizon model strongly supports the validity of the emerging Universe paradigm and its connection to horizon thermodynamics. This study indicates early how the emergent gravity perspective might manifest in quantum gravity. By utilizing the fractional-fractal Friedmann and Raychaudhuri equations, we have established that the mainstream cosmology model can be justified without a dark matter component. As a result, the standard $\Lambda$CDM model has been reduced to $\Lambda$-Cold Baryonic Matter, which has significant implications for our understanding of the Universe.