Cosmological Evolution as a Renormalization Group Flow

We present a framework in which the cosmological evolution of the Universe can be interpreted as a renormalization group flow in theory space. In this formulation the logarithm of the scale factor acts as an RG scale and the scalar field behaves as a running coupling governed by a cosmological beta function. Inflation and dark energy emerge naturally as ultraviolet and infrared fixed points of the cosmological flow. The hierarchy between cosmological expansion scales is related to the RG length of the trajectory, which can also be expressed in terms of the growth of horizon entropy. This framework reveals deep connections between cosmological dynamics, renormalization group flows, and horizon thermodynamics.