98
Cosmology 101 Adrienne Erickcek CITA & Perimeter Institute

Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Cosmology 101

Adrienne ErickcekCITA & Perimeter Institute

Page 2: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

A Brief History of the Universe

2

Inflation: an instant of extremely rapid expansion

The Cosmic Microwave Background

WMAP Science Team

How do we know all of this? The Cosmologist’s Toolbox:

•Electromagnetic observations: looking out = looking back in time

•Quantities of light elements made 2-3 minutes after Big Bang

13.7 billion years

GalaxiesFirst Stars

Page 3: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011 3

Looking Back in Time

Milky Way Stars4-65,000 LY

4-65,000 Years

Page 4: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011 3

Looking Back in Time

Other Galaxies 2.5 Mill. - 2.0 Bill. LY2.5 Mill. - 1.9 Bill. Years

Milky Way Stars4-65,000 LY

4-65,000 Years

Page 5: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Luminous Red Galaxiesout to 4.9 Bill. LYback 4.1 Bill. Years

3

Looking Back in Time

Other Galaxies 2.5 Mill. - 2.0 Bill. LY2.5 Mill. - 1.9 Bill. Years

Milky Way Stars4-65,000 LY

4-65,000 Years

Page 6: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quasarsout to 28 Bill. LY

back 12.8 Bill. Years Luminous Red Galaxiesout to 4.9 Bill. LYback 4.1 Bill. Years

3

Looking Back in Time

Other Galaxies 2.5 Mill. - 2.0 Bill. LY2.5 Mill. - 1.9 Bill. Years

Milky Way Stars4-65,000 LY

4-65,000 Years

Page 7: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quasarsout to 28 Bill. LY

back 12.8 Bill. Years Luminous Red Galaxiesout to 4.9 Bill. LYback 4.1 Bill. Years

3

Looking Back in Time

Other Galaxies 2.5 Mill. - 2.0 Bill. LY2.5 Mill. - 1.9 Bill. Years

Milky Way Stars4-65,000 LY

4-65,000 Years

CMBout to 46 Bill. LY

back 13.6996 Bill. Years

Page 8: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

SURFACE O

F L

AS

T S

CA

TT

ER

e-

e-

e-

e-

p+e-

e-

e-

e-e-

e-

e-

e-

e-

e-

e-

p+

p+

p+

p+ p+p+

p+p+

p+

p+

p+

p+

H

HH

H

H

HH

H

H

H

H

H

HH

The Surface of Last Scatter

4

375,000 years after the Big Bang,protons and electrons combined to form hydrogen atoms.

•Before hydrogen formation, the Universe was filled with opaque plasma.

•After hydrogen formation, photons could travel freely; the Universe became transparent.

The photons that reach us from the last scattering surface make a cosmic microwave background.

46 billion lyr

Page 9: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011 5

Page 10: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Big Bang Nucleosynthesis

6

3He/H p

4He

2 3 4 5 6 7 8 9 101

0.01 0.02 0.030.005

CMB

BBN

Baryon-to-photon ratio ! " 10#10

Baryon density $Bh2

D___H

0.24

0.23

0.25

0.26

0.27

10#4

10#3

10#5

10#9

10#10

2

57Li/H p

Yp

D/H p

p + e! ! n + !p + ! ! n + e+

10!5 sec !< t !< 1 sec100 MeV !> T !> 1 MeV

1 sec !< t !< 4 min

T ! 0.08 MeVt ! 4 min

n! p + e! + !

n + p! DD + D ! 3He + n

3He + D ! 4He + pPDG 2006

1 MeV !> T !> 0.08 MeV

Mas

s Fr

actio

n

Page 11: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Cosmic Microwave Background

7

NASA/WMAP Science Team

Page 12: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Cosmic Microwave Background

7

NASA/WMAP Science Team

Page 13: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

2006 Nobel Prize

1978 Nobel Prize

A Partial History of the CMB

8

A uniform glow outside the Galactic Plane:

T = 2.7 Kelvin

First detection of fluctuations:

one part in 100,000

2000 BOOMERANG2009 Dan David Prize

First high-resolution map of fluctuations:

characteristic size of . 1!

Page 14: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Cosmic Microwave Background

9

-200 +200WMAP 5-yearWMAP Science Team:

Hinshaw, et al. 2008

•The CMB is perfect black-body radiation:

•There are very tiny (one part in 100,000) fluctuations.

•The characteristic size of these perturbations is .

T = 2.726 K

1!

!T (µK)

Page 15: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 1: The Horizon Problem

10

13.7 billion years

375,000 yearsLast Scattering Surface

The CMB should not be so perfectly uniform!

The Big Bang

•At the last scattering surface, the horizon was across.

•Every disk in the CMB is effectively a separate universe.

•These different patches should not have the same temperature!

1!

1!

Time

Space

Page 16: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 2: The Flatness Problem

11

The characteristic angular size of the CMB fluctuations tellsus about the geometry of the Universe.

The physical size of the fluctuations is the

horizon size at the last scattering surface.

The geometry of the Universedetermines the angular size

of the fluctuations.

WMAP Science Team

Open Flat Closed

Page 17: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 2: The Flatness Problem

11

The characteristic angular size of the CMB fluctuations tellsus about the geometry of the Universe.

The physical size of the fluctuations is the

horizon size at the last scattering surface.

The geometry of the Universedetermines the angular size

of the fluctuations.

WMAP Science Team

! < 1 ! !c < 1!

! > 1 ! !c > 1!

! =1 ! !c " 1!

! !Energy in the Universe

Energy required for flatness

Open Flat Closed

Page 18: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 2: The Flatness Problem

11

The characteristic angular size of the CMB fluctuations tellsus about the geometry of the Universe.

The physical size of the fluctuations is the

horizon size at the last scattering surface.

The geometry of the Universedetermines the angular size

of the fluctuations.

WMAP Science Team

! < 1 ! !c < 1!

! > 1 ! !c > 1!

! =1 ! !c " 1!

! !Energy in the Universe

Energy required for flatness

Open Flat Closed

= 1.005 ± 0.007 today

Page 19: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 2: The Flatness Problem

11

The characteristic angular size of the CMB fluctuations tellsus about the geometry of the Universe.

The physical size of the fluctuations is the

horizon size at the last scattering surface.

The geometry of the Universedetermines the angular size

of the fluctuations.

WMAP Science Team

! < 1 ! !c < 1!

! > 1 ! !c > 1!

! =1 ! !c " 1!

! !Energy in the Universe

Energy required for flatness

Open Flat Closed

= 1.005 ± 0.007 today

2 minutes after the Big Bang!! |! " 1| < 10!16

Page 20: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 2: The Flatness Problem

11

The characteristic angular size of the CMB fluctuations tellsus about the geometry of the Universe.

The physical size of the fluctuations is the

horizon size at the last scattering surface.

The geometry of the Universedetermines the angular size

of the fluctuations.

WMAP Science Team

! < 1 ! !c < 1!

! > 1 ! !c > 1!

! =1 ! !c " 1!

! !Energy in the Universe

Energy required for flatness

Open Flat Closed

= 1.005 ± 0.007 today

2 minutes after the Big Bang!! |! " 1| < 10!16

Another Problem:There isn’t enough matter in the

Universe to make it flat!Clusters + Galaxies tell us

!m ! 0.3

Page 21: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

CMB Power Spectrum

Page 22: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

characteristic fluctuations

horizon at last scatter

CMB Power Spectrum

Page 23: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

characteristic fluctuations

horizon at last scatter

subhorizon plasma physics

CMB Power Spectrum

Page 24: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

characteristic fluctuations

horizon at last scatter

subhorizon plasma physics

CMB Power Spectrum

primordialfluctuations

Page 25: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

CMB Power Spectrum

primordialfluctuations

Page 26: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 3: Initial Fluctuations

12

WMAP Science Team

CMB Power Spectrum

primordialfluctuations

Where didthese nearly scale-

invariant perturbations come from?

Page 27: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 4: Unknown Matter

13

WMAP Science Team

subhorizon plasma physics

1st Extrema

!+"#

2nd Extrema1st 2nd

Peaks

Image by Wayne Hu

Gravity

Pressure

•The baryon-photon fluid has pressure proportional to its density.

•The dueling forces of gravity and pressure lead to acoustic oscillations in the CMB power spectrum.

Page 28: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mystery 4: Unknown Matter

13

WMAP Science Team

subhorizon plasma physics

1st Extrema

!+"#

2nd Extrema1st 2nd

Peaks

Image by Wayne Hu

Gravity

Pressure

•The baryon-photon fluid has pressure proportional to its density.

•The dueling forces of gravity and pressure lead to acoustic oscillations in the CMB power spectrum.

Dark matter

!b ! 0.05 &!dm ! 0.23•But the CMB also requires pressureless dark matter:

•Dark matter must be neutral and stable.

Page 29: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mysteries of the CMB

14

Three big questions about the beginning of the Universe:

•Why is the CMB so homogeneous?

•Why is the Universe so flat?

•What is the origin of the initial fluctuations?

Page 30: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mysteries of the CMB

14

Three big questions about the beginning of the Universe:

•Why is the CMB so homogeneous?

•Why is the Universe so flat?

•What is the origin of the initial fluctuations?

INFLATION!

Page 31: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Mysteries of the CMB

14

Three big questions about the beginning of the Universe:

•Why is the CMB so homogeneous?

•Why is the Universe so flat?

•What is the origin of the initial fluctuations?

73%

23%

4%

DarkMatter

DarkEnergy

Atoms

Breakdown of Energy in the Universe:4% baryonic matter: protons, electrons, atoms

•“stuff we know”

•supported by He produced 3 min. after Big Bang

23% dark matter

•stable, neutral (at 3000 K) particle

•supported by galaxy motion

73% dark energy

•negative pressure causes cosmic acceleration

•supported by supernova observations

INFLATION!

Page 32: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

Page 33: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

Now

Page 34: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates. CMB

Now

Page 35: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

He formed

CMB

Now

Page 36: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

LHC

He formed

CMB

Now

Page 37: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)Inflation

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

LHC

He formed

CMB

Now

The Universe’s volume doubled at least 270 times instantly.

INFLATIONAlan Guth, 1981

Page 38: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation: Accelerated Expansion

15

1040

1020

10-40

1

10-20

10-40 10-20 1 1020

Time (seconds)

Radi

us o

f Our

Obs

erva

ble

Uni

vers

e(m

eter

s)Inflation

47 billion LY

Earth Radius

Atomic Nucleus

The content of the Universe determines the expansion rate.

• radiation:

• matter:R(t) !

"t

R(t) ! t2/3

The expansion decelerates.

LHC

He formed

CMB

Now

The Universe’s volume doubled at least 270 times instantly.

INFLATIONAlan Guth, 1981

R(t) ! eHt• during inflation

• scalar field: energy density is not diluted by expansion.

• inflation ends when scalar field decays into radiation.

Page 39: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Horizon Problem

16

Last Scattering Surface

Inflation

The Big Bang

375,000 years

13.7 billion years

10!32 second

Inflation takes a tiny uniform patch of the early Universe and

stretches it so that it covers the Observable Universe.

Page 40: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Page 41: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

Page 42: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Recall that is unstable; a Universe that is initially curved will become even more curved as it evolves.

! =1

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

Page 43: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Recall that is unstable; a Universe that is initially curved will become even more curved as it evolves.

! =1

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

curvatureexpansion rate of Universe

d

dt|!! 1| = !2

!dR

dt

"!3 d2R

dt2

Page 44: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Recall that is unstable; a Universe that is initially curved will become even more curved as it evolves.

! =1

d

dt|! ! 1| > 0

decelerating

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

curvatureexpansion rate of Universe

d

dt|!! 1| = !2

!dR

dt

"!3 d2R

dt2

Page 45: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Recall that is unstable; a Universe that is initially curved will become even more curved as it evolves.

! =1

d

dt|! ! 1| > 0

decelerating

d

dt|! ! 1| < 0

accelerating

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

curvatureexpansion rate of Universe

d

dt|!! 1| = !2

!dR

dt

"!3 d2R

dt2

Page 46: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Inflation Solves the Flatness Problem

17Alan Guth’s Notebook: December 7, 1979.

Inflation makes curved universes flat!

Recall that is unstable; a Universe that is initially curved will become even more curved as it evolves.

! =1

d

dt|! ! 1| > 0

decelerating

d

dt|! ! 1| < 0

accelerating

“Spectacular Realization: This kind of supercooling can explain why the universe today is so incredibly flat -- and therefore resolve the fine-tuning paradox...”

curvatureexpansion rate of Universe

d

dt|!! 1| = !2

!dR

dt

"!3 d2R

dt2

Page 47: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Origin of Initial Fluctuations

18

The energy density during inflation is not uniform; quantum fluctuations lead to hot and cold regions.

Page 48: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Origin of Initial Fluctuations

18

The energy density during inflation is not uniform; quantum fluctuations lead to hot and cold regions.

•In a decelerating Universe, quantum fluctuations pop in and out of existence.

•During inflation, quantum fluctuations are stretched outside the horizon and are frozen.

Page 49: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Origin of Initial Fluctuations

18

The energy density during inflation is not uniform; quantum fluctuations lead to hot and cold regions.

•In a decelerating Universe, quantum fluctuations pop in and out of existence.

•During inflation, quantum fluctuations are stretched outside the horizon and are frozen.

==

horizon

Page 50: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

The Origin of Initial Fluctuations

18

The energy density during inflation is not uniform; quantum fluctuations lead to hot and cold regions.

•In a decelerating Universe, quantum fluctuations pop in and out of existence.

•During inflation, quantum fluctuations are stretched outside the horizon and are frozen.

Inflation produces nearly scale-invariant fluctuations!

==

horizon

Page 51: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Unanswered Questions

19

WMAP Science Team

•What drove inflation? A scalar field called the inflaton...

Page 52: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Unanswered Questions

19

WMAP Science Team

•What drove inflation? A scalar field called the inflaton...

•How big is our inflationary patch?At least as big as the Observable Universe...

Page 53: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Unanswered Questions

19

WMAP Science Team

•What drove inflation? A scalar field called the inflaton...

•How big is our inflationary patch?At least as big as the Observable Universe...

•What was the Universe like before inflation?

?

Page 54: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Unanswered Questions

19

WMAP Science Team

•What drove inflation? A scalar field called the inflaton...

•How big is our inflationary patch?At least as big as the Observable Universe...

•What was the Universe like before inflation?

?•How did inflation start?

The inflaton started nearly at rest at the top of a nearly flat

potential slope

Page 55: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Unanswered Questions

19

WMAP Science Team

•What drove inflation? A scalar field called the inflaton...

•How big is our inflationary patch?At least as big as the Observable Universe...

•What was the Universe like before inflation?

?•How did inflation start?

The inflaton started nearly at rest at the top of a nearly flat

potential slope

We need more information!

Page 56: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 57: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

V (!)

!

Inflation

(inflaton)

Inflationends

During inflation: ! ! V (")nearly

constant

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 58: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

Fluctuations in are equivalent to fluctuations in time: ! !t =!"

"

V (!)

!

Inflation

(inflaton)

Inflationends

During inflation: ! ! V (")nearly

constant

expansion rate during inflationQuantum fluctuations: (!")rms

=Hinfl

2#

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 59: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

Fluctuations in are equivalent to fluctuations in time: ! !t =!"

"

V (!)

!

Inflation

(inflaton)

Inflationends

During inflation: ! ! V (")nearly

constant

!TCMB

TCMB

= !

1

5

!R

R= !

1

5H!t

how much space has expanded

expansion rate during inflationQuantum fluctuations: (!")rms

=Hinfl

2#

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 60: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

Fluctuations in are equivalent to fluctuations in time: ! !t =!"

"

V (!)

!

Inflation

(inflaton)

Inflationends

During inflation: ! ! V (")nearly

constant

!

!TC

TC

"

rms

!

!TC

TC

"

rms

!TCMB

TCMB

= !

1

5

!R

R= !

1

5H!t

how much space has expanded

expansion rate during inflationQuantum fluctuations: (!")rms

=Hinfl

2#

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 61: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Quantum Fluctuations Revisited

20

Quantum fluctuations during inflation are the seeds of the CMB temperature fluctuations.

R

R! H =

!

8!G

3"

General Relativity tells us

energy density of the Universe

Fluctuations in are equivalent to fluctuations in time: ! !t =!"

"

V (!)

!

Inflation

(inflaton)

Inflationends

During inflation: ! ! V (")nearly

constant

!

!TC

TC

"

rms

!

!TC

TC

"

rms connection to quantum fluctuations

=1

5

!

H2infl

2!"

"

=1

5

!

8G

6"

"

V (")!TCMB

TCMB

= !

1

5

!R

R= !

1

5H!t

how much space has expanded

expansion rate during inflationQuantum fluctuations: (!")rms

=Hinfl

2#

expansion rate of the Universe

Hawking 1982; Starobinsky 1982; Guth 1982;Bardeen, Steinhardt, Turner 1983

Page 62: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Gravitational waves from inflation

21

!

!TCMB

TCMB

"

rms

!

V (!)

!

CMB temperature fluctuations give us some information about the inflaton:

V (!)We really want to know : the energy scale of inflation.

Page 63: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Gravitational waves from inflation

21

!

!TCMB

TCMB

"

rms

!

V (!)

!

CMB temperature fluctuations give us some information about the inflaton:

V (!)We really want to know : the energy scale of inflation.During inflation, quantum fluctuations are also imprinted on spacetime itself:

expansion rate during inflationQuantum fluctuations: (!")

rms=

Hinfl

2# H2 =8!G

3V (")

Page 64: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Gravitational waves from inflation

21

!

!TCMB

TCMB

"

rms

!

V (!)

!

CMB temperature fluctuations give us some information about the inflaton:

V (!)We really want to know : the energy scale of inflation.During inflation, quantum fluctuations are also imprinted on spacetime itself:

expansion rate during inflationQuantum fluctuations: (!")

rms=

Hinfl

2# H2 =8!G

3V (")

hspacetime fluctuation

Page 65: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Gravitational waves from inflation

21

!

!TCMB

TCMB

"

rms

!

V (!)

!

CMB temperature fluctuations give us some information about the inflaton:

V (!)We really want to know : the energy scale of inflation.During inflation, quantum fluctuations are also imprinted on spacetime itself:

expansion rate during inflationQuantum fluctuations: (!")

rms=

Hinfl

2# H2 =8!G

3V (")

hspacetime fluctuation

The gravitational waves leave a special imprint on the CMB polarization -- we can use this to measure .V (!)

Page 66: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Gravitational waves from inflation

21

!

!TCMB

TCMB

"

rms

!

V (!)

!

CMB temperature fluctuations give us some information about the inflaton:

V (!)We really want to know : the energy scale of inflation.During inflation, quantum fluctuations are also imprinted on spacetime itself:

expansion rate during inflationQuantum fluctuations: (!")

rms=

Hinfl

2# H2 =8!G

3V (")

hspacetime fluctuation

The gravitational waves leave a special imprint on the CMB polarization -- we can use this to measure .V (!)

The search is on!

Page 67: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Are the perturbations Gaussian?

22

(!TCMB)/TCMB ! 105

P

!

!TCMB

TCMB

"

10000

1000

0

!TCMB

TCMB

="

3

temperaturefluctuation

gravitationalpotential

Parametrize:! =! g ! fNL!

2g

Page 68: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Are the perturbations Gaussian?

22

(!TCMB)/TCMB ! 105

P

!

!TCMB

TCMB

"

10000

1000

0

!TCMB

TCMB

="

3

temperaturefluctuation

gravitationalpotential

Parametrize:! =! g ! fNL!

2g

•Single-field inflation predicts

•Multi-field inflation can produce larger values of

•Current bounds:

fNL ! 1

fNL

Non-gaussianity tells us about field interactions during inflation.

!5 < fNL < 59Komatsu et al. 2010;

WMAP7+SDSS

Page 69: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Are the perturbations Gaussian?

22

(!TCMB)/TCMB ! 105

P

!

!TCMB

TCMB

"

10000

1000

0

!TCMB

TCMB

="

3

temperaturefluctuation

gravitationalpotential

Parametrize:! =! g ! fNL!

2g

The search is on!

•Single-field inflation predicts

•Multi-field inflation can produce larger values of

•Current bounds:

fNL ! 1

fNL

Non-gaussianity tells us about field interactions during inflation.

!5 < fNL < 59Komatsu et al. 2010;

WMAP7+SDSS

Page 70: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Alternatives to Inflation

23

Page 71: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Alternatives to Inflation

23

The null hypothesis: the Big Bang just made it that way.

•Maybe homogeneous and flat is the natural starting point?

•And Gaussian, scale-invariant perturbations?

•It’s not easy to start inflation -- did we make progress?

Page 72: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Alternatives to Inflation

23

The null hypothesis: the Big Bang just made it that way.

•Maybe homogeneous and flat is the natural starting point?

•And Gaussian, scale-invariant perturbations?

•It’s not easy to start inflation -- did we make progress?Cyclic Models and Ekpyrotic Models•A slowly contracting Universe can make a flat,

homogeneous universe with scale-invariant perturbations

•And then there’s a bounce....

Khoury, Ovrut, Steinhardt & Turok 2001,and many others followed

Page 73: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Alternatives to Inflation

23

The null hypothesis: the Big Bang just made it that way.

•Maybe homogeneous and flat is the natural starting point?

•And Gaussian, scale-invariant perturbations?

•It’s not easy to start inflation -- did we make progress?

Eternal Inflation and the String Theory Landscape

•Maybe inflation is the Universe’s natural state, and only little pockets ever stop inflating

•Welcome to the Multiverse....

•But watch out for bubble collisions!

Cyclic Models and Ekpyrotic Models•A slowly contracting Universe can make a flat,

homogeneous universe with scale-invariant perturbations

•And then there’s a bounce....

Khoury, Ovrut, Steinhardt & Turok 2001,and many others followed

Page 74: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Matter: The Evidence

24

From the CMB: !b = 0.046± 0.002 charged particles tightly coupled to photons

From nucleosynthesis:protons and

neutrons!p+n = 0.042± 0.004

!dm = 0.227± 0.014massive neutral particles that do not interact with photons

Page 75: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Matter: The Evidence

24

From the CMB: !b = 0.046± 0.002 charged particles tightly coupled to photons

From nucleosynthesis:protons and

neutrons!p+n = 0.042± 0.004

!dm = 0.227± 0.014massive neutral particles that do not interact with photons

From galaxies and clusters:More details in Anne-Marie’s talk next week!

Bullet Cluster : NASA/CXC/CfA Markevitch et al.

•the dynamical masses of galaxies and clusters are much larger than their luminous masses.

•confirmed by gravitational lensing

• from counting the galaxies and clusters

• the dark matter can be separated from the luminous matter.

!m ! 0.3

Page 76: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Prime Suspect: the WIMP

25

WIMP = Weakly Interacting Massive ParticleWIMPS are the leading dark matter candidate for 2 reasons•Supersymmetry predicts a stable neutral particle with Weak

interactions -- called the neutralino

•easily created in the early Universe via “the WIMP miracle”

Page 77: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Prime Suspect: the WIMP

25

WIMP = Weakly Interacting Massive ParticleWIMPS are the leading dark matter candidate for 2 reasons•Supersymmetry predicts a stable neutral particle with Weak

interactions -- called the neutralino

•easily created in the early Universe via “the WIMP miracle”

How to make WIMP dark matter1. Start with hot photons: T > m

2. Allow the photons to cool: T < m

3. Self-annihilations stop because particles can’t find each other: age of Universe < time between collisions

! ! ""hot photon pair of WIMPs

!!! "

H > n!!v"

Page 78: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Prime Suspect: the WIMP

25

WIMP = Weakly Interacting Massive ParticleWIMPS are the leading dark matter candidate for 2 reasons•Supersymmetry predicts a stable neutral particle with Weak

interactions -- called the neutralino

•easily created in the early Universe via “the WIMP miracle”

Remaining dark matter density matches observations if !!v" # 10!26 cm3/s # (0.005/200 GeV)2

How to make WIMP dark matter1. Start with hot photons: T > m

2. Allow the photons to cool: T < m

3. Self-annihilations stop because particles can’t find each other: age of Universe < time between collisions

! ! ""hot photon pair of WIMPs

!!! "

H > n!!v"

Page 79: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Searching for a WIMP Indirectly

26

Indirect detection: signals from DM self-annihilation

Kuhlen et al. 2009

NASA/DOE/Fermi LAT

team

Predicted Gamma-Ray Sky Observed Gamma-Ray Sky

(GeV)!m210 310 410

)-1 s3

v> (c

m"<

-2510

-2410

-2310

-2210

-2110

bFermi EGB bbModel I bbModel II b

-#+#Fermi EGB -#+#Model I -#+#Model II

-µ+µFermi EGB -µ+µModel I -µ+µModel II

Calore, Romeri, Donato 2011

Page 80: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Searching for a WIMP Directly

27

Direct detection: when WIMPS and atomic nuclei collide

]2WIMP Mass [GeV/c6 7 8 910 20 30 40 50 100 200 300 400 1000

]2W

IMP-

Nuc

leon

Cro

ss S

ectio

n [c

m

-4510

-4410

-4310

-4210

-4110

-4010

-3910

]2WIMP Mass [GeV/c6 7 8 910 20 30 40 50 100 200 300 400 1000

]2W

IMP-

Nuc

leon

Cro

ss S

ectio

n [c

m

-4510

-4410

-4310

-4210

-4110

-4010

-3910

DAMA/I

DAMA/Na

CoGeNT

CDMS

EDELWEISS

XENON100 (2010)

XENON100 (2011) Buchmueller et al.

Xenon100 Collaboration arXiv:1104.2549

Page 81: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

Page 82: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

1. Sterile Neutrinos•Minimal extension to Standard Model required to give neutrino

mass, as required by neutrino oscillations

•Non-interacting and very difficult to detect

Page 83: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

1. Sterile Neutrinos•Minimal extension to Standard Model required to give neutrino

mass, as required by neutrino oscillations

•Non-interacting and very difficult to detect2. Axions•Particle that was invented to explain the absence of Strong CP

violation in the Standard Model

•Can decay into photons -- this leads to constraints

Page 84: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

1. Sterile Neutrinos•Minimal extension to Standard Model required to give neutrino

mass, as required by neutrino oscillations

•Non-interacting and very difficult to detect2. Axions•Particle that was invented to explain the absence of Strong CP

violation in the Standard Model

•Can decay into photons -- this leads to constraints3. Primordial Black Holes

•Primordial black holes form when the initial density fluctuations on small scales are very large

•Severely constrained by gravitational microlensing & evaporation

Page 85: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

1. Sterile Neutrinos•Minimal extension to Standard Model required to give neutrino

mass, as required by neutrino oscillations

•Non-interacting and very difficult to detect2. Axions•Particle that was invented to explain the absence of Strong CP

violation in the Standard Model

•Can decay into photons -- this leads to constraints3. Primordial Black Holes

•Primordial black holes form when the initial density fluctuations on small scales are very large

•Severely constrained by gravitational microlensing & evaporation4. Asymmetric Dark matter•Establishes a link between baryon density and DM density

•No anti-dark matter means no self-annihilation

Page 86: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Other Dark Matter Candidates

28

1. Sterile Neutrinos•Minimal extension to Standard Model required to give neutrino

mass, as required by neutrino oscillations

•Non-interacting and very difficult to detect2. Axions•Particle that was invented to explain the absence of Strong CP

violation in the Standard Model

•Can decay into photons -- this leads to constraints3. Primordial Black Holes

•Primordial black holes form when the initial density fluctuations on small scales are very large

•Severely constrained by gravitational microlensing & evaporation4. Asymmetric Dark matter•Establishes a link between baryon density and DM density

•No anti-dark matter means no self-annihilation

The only evidence for dark matter is gravitational. Maybe our theory of gravity is wrong?

MOND, TeVeS, and others

Page 87: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

SN Redshift0.2 0.4 0.6 0.8 1

34

36

38

40

42

44

)=(0.26,0.74)!",m"(

)=(1.00,0.00)!",m"(

SNLS 1st Year

SN Redshift0.2 0.4 0.6 0.8 1

) 0 H-1

c L (

d10

- 5

log

-1

-0.5

0

0.5

1

Astier et al. 2006

Dark Energy: The Evidence

29

From Type Ia Supernovae:

From the CMB: missing energy!r + !b + !dm + !? = 110!5 0.045 0.227 0.728

1998 Surprise: Cosmic Expansion is Accelerating!

•Type Ia Supernova are “standard candles,” so their apparent magnitude gives their distance

•distant supernovae are moving slower than expected in a matter-only universe

• the Hubble expansion used to be slower than it is today

!de = 0.74± 0.02SNLS 3rd Year, 2011

Page 88: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Energy: What is it?

30

Basic information: pressure = w ! densityradiation:w = 1/3matter:w = 0acceleration: w < !1/3

Page 89: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Energy: What is it?

30

Basic information: pressure = w ! densityradiation:w = 1/3matter:w = 0acceleration: w < !1/3

(!)•Einstein’s blunder -- it’s back!

• constant density

• interpret as “vacuum energy”

•quantum field theory predicts

•observed value

Option 1: A Cosmological Constant

w = !1"

!! !M4Pl

!! ! 10!120M4Pl

Page 90: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Energy: What is it?

30

Basic information: pressure = w ! densityradiation:w = 1/3matter:w = 0acceleration: w < !1/3

(!)•Einstein’s blunder -- it’s back!

• constant density

• interpret as “vacuum energy”

•quantum field theory predicts

•observed value

Option 1: A Cosmological Constant

w = !1"

!! !M4Pl

!! ! 10!120M4Pl

Old CC problem: why is zero?

New CC problem: why is so small?

!!

!!

Page 91: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Energy: What is it?

31

Basic information: pressure = w ! densityradiation:w = 1/3matter: w = 0

acceleration: w < !1/3

Option 2: Quintessence (a scalar field)cosmological constant: w = !1

V (!)

•lesson from inflation: when you need cosmic acceleration, invent a scalar field

• like inflaton, we need a slowly varying scalar field with near-constant

•very different energy scales:

•quintessence is dynamical:

(10 MeV)4 !< !infl !< (1016GeV)4

!de = (0.002 eV)4

w !> "1Data please?

w

Page 92: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Dark Energy: What is it?

31

Basic information: pressure = w ! densityradiation:w = 1/3matter: w = 0

acceleration: w < !1/3

Option 2: Quintessence (a scalar field)cosmological constant: w = !1

V (!)

•lesson from inflation: when you need cosmic acceleration, invent a scalar field

• like inflaton, we need a slowly varying scalar field with near-constant

•very different energy scales:

•quintessence is dynamical:

(10 MeV)4 !< !infl !< (1016GeV)4

!de = (0.002 eV)4

w !> "1Data please?

wSNLS 3-yr Year

0.0 0.1 0.2 0.3 0.4 0.5Ωm

−2.0

−1.5

−1.0

−0.5

w99.7%

95.4%

68.3

%

SNLS3

BAO+WMAP7

With all systematics

w

!marXiv:1104.1444

Page 93: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Maybe Gravity is the Problem?

32

General Relativity:H2 =

8!G

3"

cosmic expansion rate

radiation and matter

dark energy

A different approach: change gravity

f(H) =8!G

3("m + "r)matter and radiation only

Page 94: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Maybe Gravity is the Problem?

32

General Relativity:H2 =

8!G

3"

cosmic expansion rate

radiation and matter

dark energy

A different approach: change gravity

f(H) =8!G

3("m + "r)matter and radiation only

We have to change gravity between galaxies without changing it in the Solar System.

•time delay and lensing measurements around the Sun confirm General Relativity

•General Relativity is sensitive!

•Solution: chameleon gravity, higher dimensional gravity, massive gravity...

Page 95: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Summary: Where are we?

33

Cosmology’s Standard Model: !CDM + InflationThe Good

CMB, Supernovae, Galaxies, Clusters all in concordance

Page 96: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Summary: Where are we?

33

Cosmology’s Standard Model: !CDM + Inflation

The Bad

73%

23%

4%

DarkMatter

Atoms

!

The Good

CMB, Supernovae, Galaxies, Clusters all in concordance

Page 97: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Summary: Where are we?

33

Cosmology’s Standard Model: !CDM + Inflation

The Bad

73%

23%

4%

DarkMatter

Atoms

!The Ugly: Will we ever understand the origin of ?!

Will we ever know what drove inflation?

The Good

CMB, Supernovae, Galaxies, Clusters all in concordance

Page 98: Cosmology 101 - University of North Carolina at …erickcek/Cosmo101.pdfAdrienne Erickcek Cosmology 101: July 27. 2011 A Brief History of the Universe 2 Inflation: an instant of extremely

Adrienne Erickcek Cosmology 101: July 27. 2011

Further Reading

34

On General Cosmology:

On dark matter and dark energy:

Modern Cosmology by Scott Dodelson (textbook, CMB focused)Cosmology by Peter Coles & Francesco Lucchin (textbook)Web Tutorials: www.astro.ucla.edu/~wright/cosmolog.htm by Ned Wrighthttp://background.uchicago.edu/index.html by Wayne HuOn inflation:The Inflationary Universe by Alan Guth (popular science book)“Lectures on Inflation and Cosmological Perturbations” by David Langlois http://arxiv.org/abs/1001.5259 (review article)

The 4% Universe by Richard Panek (popular science book)“Dark Matter and Dark Energy” by Marc Kamionkowski http://arxiv.org/abs/0706.2986“Particle Dark Matter: Evidence, Candidates & Constraints” by Bertone, Hooper & Silk http://arxiv.org/abs/hep-ph/0404175