Cosmic implications of FATs

This paper delves into cosmological functors of actions theories (CosmoFATs) which applied in cosmology, presenting models applied across cosmology, which are potentially applicable to quantum gravity. We explore actionic fluctuations and the modified Einstein Field Equations using the FAT approach. We provide physical solutions to the integro-differential equations created by FAT gravitational cosmology models. A foundational analysis establishes that the theory is intrinsically nonlocal due to the global integral dependence of the Ricci scalar action, yet remains causal when the temporal integration limits are restricted to the past, preserving physical predictability and general covariance. We solve the modified Friedmann equations for both quadratic and exponential FAT models, comparing the evolution of the scale factor and Hubble parameter with the standard \(\Lambda\)CDM model. The FAT framework introduces a time-dependent actionion component that suppresses the late-time expansion rate, providing a natural mechanism to resolve the Hubble tension. Furthermore, the modified Friedmann equation admits a compelling reinterpretation as an effective, dynamical dark energy density driven by the actionion integral, offering an emergent origin for cosmic acceleration without a bare cosmological constant.We explore in detailed discussions comprehensive interpretations on how FATs emerge as a promising framework for advancing cosmological and quantum gravity research. The FAT framework might provide alternative aspects to modified gravity, dark energy and explore further the cosmological model with the manifestation of FAT fluctuations, the so called actionions.

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