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The Inflating Universe Max Tegmark, MIT
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The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

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Page 1: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

The Inflating Universe

Max Tegmark, MIT

Page 2: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Smorgasbord THE COSMIC

SMÖRGÅSBORD

Galaxy surveys

Microwave background

Gravitational lensing

Big Bang nucleosynthesis

Supernovae Ia

Galaxy clusters

Lyman α forest

Neutral hydrogen tomography

Page 3: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

What have we learned?

Page 4: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

?

Summary of Lecture 1

Page 5: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

How did it all begin?

Page 6: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Some things to ponder…

Some things to ponder…

Alan Guth

Page 7: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

What put the “bang” into our Big Bang?

Page 8: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

History

The “Horizon Problem”:

How did causally disconnected regions know to bang at the same time?

Page 9: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011 Figure by Ned Wright

The “Flatness Problem”: Why was our Big Bang so “Goldilocks”?

Page 10: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Page 11: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

How inflation works: •  Einstein: source of gravity = density +3p/c2

•  Stuff that won’t dilute has negative pressure, like a rubber band but much stronger, making it gravitationally repulsive! •  Result: it rapidly keeps doubling its size - bang!

Page 12: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Inflation solves all three problems! •  The “Bang” Problem •  The Horizon Problem •  The Flatness Problem

Page 13: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Evidence #1 for inflation: Space is very flat

(Figure from Wayne Hu)

(Figure from Ned Wright)

Page 14: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Alan Guth

Page 15: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

(Fig

ure

from

Boo

mer

ang

team

)

Page 16: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Reichardt et al 2008, arXiv:0801.1491

Page 17: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

How flat is space?

Page 18: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

How flat is space?

Page 19: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

How flat is space? Somewhat.

Page 20: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

Ωtot=1.003±0.010 How flat is space?

Page 21: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Party on!

Page 22: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Page 23: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Page 24: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Page 25: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Page 26: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Page 27: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

CMB

+ LSS

Planck + SDSS: Δn=0.008, Δr=0.012

Page 28: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

But be careful what you wish for!

Inflation gave us more that we’d bargained for…

Page 29: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang
Page 30: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Big Bang Zoom

Page 31: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang
Page 32: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

This isn’t science!

It’s inevitable

Page 33: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

I hate it! Makes sense! Why not?

Page 34: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Party on!

Page 35: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Q: Is there more that exists than we can see?

Cosmology suggests yes!

Page 36: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Big Bang Zoom

Outline: •  The most interesting question isn’t whether parallel universes exist, but whether the multiverse has 1, 2, 3 or 4 levels

•  Evidence for parallel universes

•  Reasons to like/dislike multiverses

Page 37: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

What do we mean by our universe?

Page 38: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

History

Page 39: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

History

CMB

Fore

grou

nd-c

lean

ed W

MA

P m

ap fr

om T

egm

ark,

de

Oliv

eira

-Cos

ta &

Ham

ilton

, ast

ro-p

h/03

0249

6

Our universe

Page 40: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Level I

Page 41: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Big Bang Zoom

How big is our space?

Page 42: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

History

CMB

Fore

grou

nd-c

lean

ed W

MA

P m

ap fr

om T

egm

ark,

de

Oliv

eira

-Cos

ta &

Ham

ilton

, ast

ro-p

h/03

0249

6

Our universe

Page 43: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Inflation generically predicts that space isn’t just huge, but truly infinite!

Page 44: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

How to make an infinite space inside a finite volume

Page 45: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Cmbgg OmOl

Page 46: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Big Bang Zoom

Multiverse level I: other Hubble volumes beyond our cosmic horizon

• Size of our Hubble volume ~ 1026m, • Closest copy of you ~ 101029m • Closest 100 lightyear bubble like ours ~ 101091m • Closest Hubble volume like ours ~ 1010118m

For our flat “concordance’’ cosmological model:

• Same (effective) laws of physics • Different initial conditions

Features:

Giordano Bruno (executed 1600) Ellis & Brundrit 1979, Q.J.R. Astr. Soc. 20, 37 Garriga & Vilenkin 2001, Phys.Rev. D64, 043511

Page 47: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Level II

Page 48: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Level II Multiverse

Page 49: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Cmbgg OmOl

Page 50: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Cmbgg OmOl

Stan

dard

mod

el p

aram

eter

s:

Cos

mol

ogy

Parti

cle

phys

ics

C = h = G

= kb = q

e = 1 Why these values?

MT, Aguirre, Rees & Wilczek 2005

Page 51: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

Max Tegmark Dept. of Physics, MIT

[email protected] Bright Horizons Cruise

May 13, 2011

Big Bang Zoom

Multiverse level 2: other post-inflationary regions

(Compare a literally parallel Universe; living on another brane)

•  Perhaps different effective laws of physics (physical constants, particles, symmetrics, dimensionality) •  Perhaps even uncountably infinite

Features:

(Pics from Andrei Linde)

Page 52: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang

DO ANY OF THESE QUESTIONS CONFUSE YOU? 1.  What is the Universe expanding into? 2.  How can stuff be more than 14 billion light years away when

the Universe is only 14 billion light years old? 3.  Where in space did the Big Bang explosion happen? 4.  Did the Big Bang happen at a single point? 5.  How could a the Big Bang create an infinite space in a finite

time? 6.  How could space not be infinite? 7.  If the Universe is only 10 billion years old, how can we see

objects that are now 30 billion light years away? 8.  Don’t galaxies receeding faster than c violate relativity

theory? 9.  Are galaxies really moving away from us, or is space just

expanding? 10.  Is the Milky Way expanding? 11.  Do we have evidence for a Big Bang singularity? 12.  What came before the Big Bang? 13.  Should I feel insignificant?

Page 53: The Inflating Universe - InSight Cruises · The Inflating Universe Max Tegmark, MIT. ... Why was our Big Bang so “Goldilocks”? Max Tegmark Dept. of ... How could a the Big Bang