Schroedinger Wheeler-DeWitt Equation In Multidimensional Cosmology
S.Biswas, A.Shaw, D.Biswas
TL;DR
This paper derives a Schrödinger-Wheeler-DeWitt equation in multidimensional cosmology using a wormhole dominance proposal, linking boundary conditions to inflation and quantum wavefunctions without relying on traditional WKB methods.
Contribution
It introduces a novel prescription for time in multidimensional cosmology and derives the Schrödinger-Wheeler-DeWitt equation without WKB approximation, connecting boundary conditions to inflation.
Findings
Wormhole boundary conditions seed inflation.
Derived Schrödinger-Wheeler-DeWitt equation without WKB.
Linked boundary conditions to Gaussian wavefunction ansatz.
Abstract
We study multidimensional cosmology to obtain the wavefunction of the universe using wormhole dominance proposal. Using a prescription for time we obtain the Schroedinger-Wheeler-DeWitt equation without any reference to WD equation and WKB ansatz for WD wavefunction. It is found that the Hartle-Hawking or wormhole-dominated boundary conditions serve as a seed for inflation as well as for Gaussian type ansatz to Schroedinger-Wheeler-DeWitt equation.
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