Eternal Inflation1. Introduction -- 2. Inflationary cosmology. 2.1. The inflationary paradigm. 2.2. Slow-roll inflation and attractors -- 3. Eternal inflation. 3.1. Predictions in eternal inflation. 3.2. Physical justifications of the semiclassical picture -- 4. Stochastic approach to inflation. 4.1. Eternal inflation of random walk type. 4.2. Presence of eternal inflation -- 5. Models with bubble nucleation -- 6. The measure problem and proposed solutions. 6.1. Observer-based measures. 6.2. Regularization for a single reheating surface. 6.3. Regularization for multiple types of reheating surfaces. 6.4. Youngness paradox and "Boltzmann brains"--7. The RV measure : first look. 7.1. Reheating-volume cutoff. 7.2. RV cutoff in slow-roll inflation -- 8. The RV measure for random-walk inflation. 8.1. Preliminary results. 8.2. Overview of the results. 8.3. Derivations -- 9. The RV measure for the landscape. 9.1. Regulating the number of terminal bubbles. 9.2. Regulating the total number of bubbles. 9.3. A toy landscape. 9.4. A general landscape -- 10. Conclusion |
Contents
Models with Bubble Nucleation | 5 |
Stochastic Approach to Inflation | 35 |
2 | 62 |
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3-volume approximation asymptotic attractor Boltzmann brains boundary conditions Bousso bubble nucleation bubble types bubbles of type calculations coefficients comoving worldline compute consider cosmological cosmological constant defined derivatives deterministic distribution p(V dominant e-foldings eigenfunction eigenvalue ensemble eternal inflation evolution expansion exponentially fluctuation-dominated fluctuations fo(z FP equation function g(z Garriga Green's function H-region H-region of type Hence Hubble hypersurface infinite inflationary models inflaton initial bubble initial conditions initial H-region landscape Langevin equation Linde matrix multiverse nucleation number of bubbles observers obtain operator Î parameter perturbations Phys Planck boundary preprint probability distribution quantum random walk randomly chosen ratio regime regions reheating boundary reheating surface reheating volume RV cutoff RV measure scalar field scale factor scenario self-reproduction singularity Sitter slow-roll inflation solution g(z solution of Eq spacetime statistical stochastic terminal bubbles tion total number trajectory Vilenkin WKB approximation worldline zero boundary conditions Φο