How universe evolves with cosmological and gravitational constants

With a basic varying space-time cutoff (l) over tilde, we study a regularized and quantized Einstein-Cartan gravitational field theory and its domains of ultraviolet-unstable fixed point g(ir) greater than or similar to 0 and ultraviolet-stable fixed point g(uv) approximate to 4/3 of the gravitational gauge coupling g = (4/3)(G/G)Newton. Because the fundamental operators of quantum gravitational field theory are dimension-2 area operators, the cosmological constant is inversely proportional to the squared correlation length Lambda alpha xi(-2). The correlation length xi characterizes an infrared size of a causally correlate patch of the universe. The cosmological constant Lambda and the gravitational constant G are related by a generalized Bianchi identity. As the basic space-time cutoff (l) over tilde decreases and approaches to the Planck length l(pl), the universe undergoes inflation in the domain of the ultraviolet-unstable fixed point g(ir), then evolves to the low-redshift universe in the domain of ultraviolet-stable fixed point g(uv). We give the quantitative description of the low-redshift universe in the scaling-invariant domain of the ultraviolet-stable fixed point guy, and its deviation from the Lambda CDM can be examined by low-redshift (z less than or similar to 1) cosmological observations, such as supernova Type Ia. (C) 2015 The Author. Published by Elsevier B.V.