Download presentation

Presentation is loading. Please wait.

Published byMaurice Frye Modified over 3 years ago

1
Why did the Universe Inflate?

2
Proceedings of the Nuffield Workshop, Cambridge, 1982

3
Old Inflation Scenario Time Space Bubble Nucleation Bubble Collision

4
New Inflation Scenario φ Slow roll down Cosmological Constant V

5
Quantum Fluctuations Amplitude [insert equation here] Spectrum [insert equation here]

6
Microwave Background Radiation

7
Why did the Universe Inflate? Why did the scalar field start with a high value of the potential, and run down to a minimum? Why didn’t it just start at the minimum?

8
No boundary amplitude [h ij, ] = Dg e -S[g] Sum over all metrics that have a boundary and where the induced metric on is h ij.

9
Wheeler DeWitt Equation -G ijkl δ 2 δh ij δh kl 3 R(h) h ½ + 2Λh ½ Ψ [h ij ] = 0 Where G ijkl is the metric on superspace, G ijkl = ½ h -½ (h ik h jl + h il h jk – h ij h kl ) and 3 R is the scalar curvature of the intrinsic geometry of the three-surface.

10
1 ∂ 2 1 ∂ 2 ∂a 2 a 2 ∂φ 2 – a 2 – + a 4 V Ψ(a, φ) = 0 Wheeler DeWitt Equation

11
WKB Approximation Ψ = B e iC Δ C·C· Δ C + J = 0 Δ B·B· Δ C = 0

12
No Boundary Amplitude N Amplitude Amplitude = e 1/m 2 N

13
Volume Weighting Surface of present matter density Hubble Volume P( Observing a Hubble Volume ) = | Ψ | 2 × Number of Hubble Volumes MIIMM∞ | Ψ | 2 e 3N Time Space

14
Volume Weighted Probability Initial φ Probability Planck Density Quadratic Potential

15
Volume Weighted Probability Initial φ Probability φ = φ m Potential with a Maximum at φ = φ m

16
Why did the Universe Inflate? Volume weighting gives a high probability of a large amount of Inflation

Similar presentations

OK

Evolution of Simplicial Universe Shinichi HORATA and Tetsuyuki YUKAWA Hayama center for Advanced Studies, Sokendai Hayama, Miura, Kanagawa 240-0193, Japan.

Evolution of Simplicial Universe Shinichi HORATA and Tetsuyuki YUKAWA Hayama center for Advanced Studies, Sokendai Hayama, Miura, Kanagawa 240-0193, Japan.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Slides for ppt on wireless communication Ppt on books are my best friends Ppt on area of parallelogram and triangles in geometry Ppt on computer assisted language learning Ppt on population census 2011 data Ppt on masculine and feminine gender for grade 3 Ppt on rainwater harvesting system Cell surface display ppt online Ppt on working of lcd tv Ppt on file system in linux