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Starobinsky Model in Schroedinger Description
General Relativity and Quantum Cosmology · Submitted 17 Jun 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using the prescription for the normalization constant of the wavefunction given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wavefunction of the universe.
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In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schroedinger form containing time. The Schroedinger equation is solved with a Gaussian ansatz. Using the prescription for the normalization constant of the wavefunction given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wavefunction of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. | background 1.00 | 0.07 | 0.04 | asserted 1.00 |
| s1 | We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schroedinger form containing time. | method 0.63 | 0.95 | 0.09 | asserted 1.00 |
| s2 | The Schroedinger equation is solved with a Gaussian ansatz. | method 0.98 | 0.92 | 0.05 | asserted 1.00 |
| s3 | Using the prescription for the normalization constant of the wavefunction given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wavefunction of the universe. | result 0.97 | 0.91 | 0.54 | asserted 1.00 |
| s4 | The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation. | interpretation 0.97 | 0.37 | 0.27 | hedged possibility 0.96 |
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Original abstract
In the Starobinsky inflationary model inflation is driven by quantum corrections to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equation corresponding to the Starobinsky model to a Schroedinger form containing time. The Schroedinger equation is solved with a Gaussian ansatz. Using the prescription for the normalization constant of the wavefunction given in our previous work, we show that the Gaussian ansatz demands Hawking type initial conditions for the wavefunction of the universe. The wormholes induce randomness in initial states suggesting a basis for time-contained description of the Wheeler-DeWitt equation.
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