cosmology theory: implications for fundamental...

48
Cosmology Theory: ACP Winter Meeting Feb 2005 Lawrence M. Krauss CERCA, CWRU Implications for Fundamental Physics..

Upload: others

Post on 20-May-2020

4 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Cosmology Theory:

ACP Winter MeetingFeb 2005

Lawrence M. KraussCERCA, CWRU

Implications for Fundamental Physics..

Page 2: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

THE 3 FUNDAMENTAL QUESTIONS

1. WHAT IS CURVATURE? FLUCTUATION SPECTRUM?

• INITIAL CONDITIONS..2. WHAT IS THE NATURE AND ORIGIN OF

DARK MATTER?• PARTICLE MODELS

3. WHAT IS THE NATURE, ORIGIN, AND EVOLUTION OF DARK ENERGY?

• VACUUM ENERGY.

Page 3: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Summary

• Observational Cosmology in the 21st century is the experimental particle physics of the last 2 decades:• GOOD NEWS: Lots of new data• BAD NEWS: observations will continue to

confirm same parameters, without pointing where new physics is....• NEED THEORY!

Page 4: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

CONCLUSIONS

NEED ACCELERATORS AND PARTICLE THEORY:

COSMOLOGY GREAT FOR DISCOVERY,...But not for much more?

DISCOVERIES ALREADY MADE?

Page 5: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Cosmology: Current Status: CMB+LSS

Page 6: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Cosmology: Current Status: CMB +LSS

t=1010 yrsT = 2.735 K

t=109 yrsT = 10 K

t=105 yrsT =3000 K

Last Scattering Surfaced=ct : ϑ ≈ 10

Page 7: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Cosmology: Current Status: CMB +LSS

First Scale to Collapse after Recombination (≈distance spanned

by light ray =horizon size)OPENCLOSEDFLAT

flat

closed

open

Page 8: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Cosmology: Current Status: CMB +LSS

• ‘adiabatic fluctuations’, n ≈1• possible measure of gravity waves from

inflation?

• weinberg: most any mechanism adiabatic n≈1

• predictions.. small.. unambiguous?

Page 9: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

DARK MATTER

Ωm=0.30±0.1 (95%)

Ωm=0.30±0.1 (95%)

Page 10: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

DARK ENERGY

Ωm=0.30±0.1 (95%)

Page 11: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Combined Limits on w..

• w < -0.8

Page 12: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Combined Limits on w..lower bound... age

LMK, APJ, 03

• w> -1.2

Page 13: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Outline

• Dark Energy• Dark Matter• Future Predictions

Page 14: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

DARK ENERGY:The Problem

• The only truly fundamental question in cosmology at this point is: Is w ≠ -1?

• The most reasonable theoretical prediction is w=-1, via a cosmological constant.

• The most sensible alternatives predict w ≈ -1

• Observations suggest w ≈-1• Measuring w ≈-1 therefore tells us nothing.• Incorporating realistic uncertainties does

not leave much room for optimism. (i.e. supernovae)

Page 15: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Magnitude-redshift relation for various eq. of state(subtracting off empty universe prediction)

z1.5

0.15

Page 16: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Δm

redshift

w= constant.. differences between diff. w's

UNCERTAINTIES:... MAG.Canonical m uncertainty assumed 0.15/sn..

Page 17: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Uncertainties:

Observable for SN:

where

we model

Page 18: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Uncertainties:

Page 19: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Limits on w for sigma_m =0.15

• statistical uncertainty in w approx .04-.09 for 300-3000 SN!

• Is this good enough?• too good to be true?

Page 20: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Actual Ground-based uncertainties!

LMK, D. Huterer, K. Smith

Page 21: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Actual Ground-based uncertainties!

• 300 Supernovae.. 100 from z=0.03 to .08

Page 22: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Actual Ground-based uncertainties!

• SNAP: 3000 Supernovae.. 100 from z=0.03 to .08

Page 23: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Watching your waist: Looking for dark matter.. no prior

Page 24: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Watching your waist: Looking for dark matter..

Page 25: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

But it is worse!...

Page 26: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Actual Ground-based uncertainties!

• We do not know z dependence of w... therefore uncertainty larger..., and parameter dependent!

Page 27: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Ruling out a Cosmological Constant?

• Principle Component Test:

Page 28: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Ruling out a cosmological constant..

Page 29: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Dark Energy Summary

• w ≈-1• cosmology of no help• need theory...

Page 30: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

2. Dark Matter:What is the Signal for WIMPS

• excess noise in a detector (CDMS)

Page 31: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

What is the Signal for WIMPS

• (Small) Annual Modulation (DAMA)

<V> - vearth

<V> + vearth

Page 32: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

What is the Signal for WIMPS

• (Small) Annual Modulation (DAMA)• flux change

• threshold effect.. R ≈ exp (-vmin2)....

• net effect of order 1-2% (<v> =220 km/s)

Page 33: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical
Page 34: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

IS IT A SIGNAL?

• Uncertainties:• halo• particle physics

• Can one do better?

Page 35: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

That Damn HaloISOTHERMAL

TRIAXIAL

EVANS

q=flattening

Page 36: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical
Page 37: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Doing Better?: Full Angular Resolution cjc, lmk, in prep

Page 38: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical
Page 39: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

The best you can do?

Page 40: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Finally: An Uncertain Future...

• Ultimate purpose of particle-astrophysics... to determine future of the universe...

• a red herring..

Page 41: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

(2) An Uncertain Future:

We will never know if we live in the worst possible universe!

GEOMETRY ≠ DESTINY

Vacuum Energy* violates the SEC (w=-1)!

˙ R R

2

=8πG

3ρM −

kR2

˙ R R

2

=8πG

3(ρM + ρΛ ) − k

R2

Anything possible!€

*Tµν = Λgµν By Lorentz invariance

Page 42: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

An Uncertain Future

• New Rules = No Rules.• LMK MST..no finite set of observations good enough• The Future of Particle Physics: Theory and Accel• The Future of Cosmology is Particle Theory...

LMK MST..no finite set of observations good enough

Page 43: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical
Page 44: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Redshift uncertainties: SN

Page 45: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Redshift uncertainties: SN

Page 46: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Redshift uncertainties: Number counts

Page 47: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Redshift uncertainties: Number counts

Page 48: Cosmology Theory: Implications for Fundamental Physics..conferences.fnal.gov/aspen05/talks/krauss.pdf · cosmology at this point is: Is w ≠ -1? • The most reasonable theoretical

Redshift uncertainties: Number counts