Quantum Vacuum energy as the origin of Gravity

We explore the idea that quantum vacuum energy ρ ₕ₀₂ is at the origin of Gravity as a theoretical exercise. We formulate a gravitational version of the electromagnetic Casimir effect, and provide an argument for how gravity can arise from ρ ₕ₀₂ by showing how Einstein's field equations emerge in the form of Friedmann's equations. This leads to the idea that Newton's constant GN is environmental, namely it depends on the total mass-energy of the Universe M_ and its size R_, with GN = c² R_ /2 M_. This leads to a new interpretation of the Gibbons-Hawking entropy of de Sitter space, and also the Bekenstein-Hawking entropy for black holes, wherein the quantum information bits are quantized massless particles at the horizon with wavelength λ= 2 πR_. We assume a recently proposed formula for ρ ₕ₀₂ mᵦ⁴/g, where mᵦ is the mass of the lightest particle, and g is a marginally irrelevant coupling. This leads to an effective, induced RG flow for Newton's constant GN as a function of an energy scale, which indicates that GN decreases at higher energies until it reaches a Landau pole at a minimal value of the cosmological scale factor a (t) > a ₌₈₍, thus avoiding the usual geometric singularity at a=0. The solution to the scale factor satisfies an interesting symmetry between the far past and far future due to a (t) = a (-t + 2 t ₌₈₍), where a (t ₌₈₍) = a ₌₈₍. We propose that this energy scale dependent GN can explain the Hubble tension and we thereby constrain the coupling constant g and its renormalization group parameters. For the Λ CDM model we estimate a ₌₈₍ e^-1/b where b 0. 02 based on the Hubble tension data.