Fractional attractors in light of the latest ACT observations
Christian Dioguardi, Antonio J. Iovino, Antonio Racioppi
Abstract
In light of the latest results from ACT observations we review a class of potentials labeled as fractional attractors, that can originate from Palatini gravity. We show that, for certain choices of the scalar potential V ( ϕ ) , the fractional attractors predict both a spectral index n s and a tensor-to-scalar ratio r that fall within the 1 σ region of the combined ACT+Planck data for a wide range of parameters. We also provide a numerical fit for the parameter space of this models in the case of a simple quadratic and quartic fractional potential.
Topics & Concepts
PhysicsAttractorParticle physicsStatistical physicsTheoretical physicsNuclear physicsMathematical analysisMathematicsCosmology and Gravitation TheoriesFractional Differential Equations SolutionsAdvanced Thermodynamics and Statistical Mechanics