From DeWitt initial condition to Cosmological Quantum Entanglement

Abstract

A gravity-anti-gravity (GaG) odd linear dilaton action offers an eternal inflation evolution governed by the unified (cosmological constant plus radiation) equation of state $\rho -3P=4\Lambda$. At the mini superspace level, a 'two-particle' variant of the no-boundary proposal, notably 'one-particle' energy dependent, is encountered. While a GaG-odd wave function can only host a weak Big Bang boundary condition, albeit for any $k$, a strong Big Bang boundary condition requires a GaG-even entangled wave function, and singles out $k=0$ flat space. The locally most probable values for the cosmological scale factor and the dilaton field form a grid $\{a^2,a\varphi \}\sim \sqrt{4n_1+1}\pm \sqrt{4n_2+1}$.

5 two column pages, 4 figures; v2: Several references added, one sentence rephrased; v3: minor revision (title included)

References in corpus (5)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Fake Conformal Symmetry in Conformal Cosmological Models
• Dynamical String Tension in String Theory with Spacetime Weyl Invariance
• Rippled Cosmological Dark Matter from Damped Oscillating Newton Constant
• Cosmological Perturbations in Antigravity