Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.
Introductory Lectures on Quantum Cosmology (1990)
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abstract
We describe the modern approach to quantum cosmology, as initiated by Hartle and Hawking, Linde, Vilenkin and others. The primary aim is to explain how one determines the consequences for the late universe of a given quantum theory of cosmological initial or boundary conditions. An extensive list of references is included, together with a guide to the literature. It also includes a detailed treatment of the WKB interpretation, which is relevant to a forthcoming article by the author on the decoherent histories approach to quantum cosmology.
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New simulations show that cross-correlating gravitational wave background anisotropies with galaxy distributions can enable discovery at angular scales of 4-6 degrees with next-generation observatories.
In the UV regime of Horava-Lifshitz gravity the Wheeler-DeWitt solutions suppress annihilation-to-nothing behavior for all examined spatial sections and cosmological constants.
Imposing |Ψ|=1 on the Wheeler-DeWitt wave function determines the scalar potential form and yields analytical solutions for the scale factor and field in the cosine case with negative cosmological constant.
citing papers explorer
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Optimal paths across potentials on scalar field space
Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.
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Prospects for multi-messenger discovery of the gravitational-wave background anisotropies via cross-correlation with galaxies
New simulations show that cross-correlating gravitational wave background anisotropies with galaxy distributions can enable discovery at angular scales of 4-6 degrees with next-generation observatories.
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Ultraviolet Behavior of the Wheeler-DeWitt Equation in Horava-Lifshitz Gravity
In the UV regime of Horava-Lifshitz gravity the Wheeler-DeWitt solutions suppress annihilation-to-nothing behavior for all examined spatial sections and cosmological constants.
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Simple Analytical Solutions of the Wheeler-DeWitt Equation in the Classical Hamilton-Jacobi Limit
Imposing |Ψ|=1 on the Wheeler-DeWitt wave function determines the scalar potential form and yields analytical solutions for the scale factor and field in the cosine case with negative cosmological constant.