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Understanding the Dark Universe: 

Understanding the Dark Universe 朱明中 Chu Ming-chung Department of Physics The Chinese University of Hong Kong

Slide2: 

Science, Vol 302, Issue 5653, 2038-2039 , 19 December 2003 Science Magazine Breakthrough of the Year 2003 http://www.sciencemag.org/cgi/content/full/302/5653/2038 ‘Illuminating the Dark Universe’ ‘Portraits of the earliest universe and the lacy pattern of galaxies in today's sky confirm that the universe is made up largely of mysterious dark energy and dark matter. They also give the universe a firm age and a precise speed of expansion.’ Science, Vol 302, Issue 5653, 2038-2039, 19 December 2003.

Universe as we know it today : 

Universe as we know it today matter accounts for ~30% of total energy; ~70% are ‘dark energy’ (vacuum force) ordinary matter takes up ~5% of total mass; ~95% of matter are dark matter the universe is flat (k = 0) many new discoveries new questions New Era for Cosmology as a Science! → < 2% total energy is known!

Understanding the Dark Universe: 

Understanding the Dark Universe Dark Matter – evidences, some proposals Dark Energy – evidences, some proposals Related research at CUHK - neutrino stars - extra dimensions M. C. Chu, ‘Understanding the Dark Universe’; 「黑暗物質與黑暗能量」 http://www.phy.cuhk.edu.hk/gee/mctalks/mctalks.html Summary

I. Dark Matter: 

I. Dark Matter

Evidences for Dark Matter: 

Evidences for Dark Matter If there were no dark matter: Hot gas surrounding most galaxy clusters星系團would have escaped Galaxy clusters would not have formed Galaxy collisions would look different Most stars would have escaped from galaxies There would be much less structure in the universe!

Slide7: 

后髮座星系團 Coma Cluster Photo credit: O. Lopez-Cruz (INAOEP) et al., AURA, NOAO, NSF >1000 bright galaxies distance ~ 2.8x108 l.y.s

Slide8: 

室女座星系團 Virgo Cluster Photo credit: Digitized Sky Survey, Palomar Observatory, STScI distance ~ 6x107 l.y.s, > 2000 galaxies. Milkway is being drawn there at several hundred km/s. M87

Slide9: 

1. Hot Gas in Galaxy Clusters Large amount of X-ray emitting hot gas (T~108 K) surrounding galaxy clusters, with total mass >> stars Eg.: 3C295 Hot gas mass ~9 times stellar mass Photo credit: NASA

Slide10: 

Photo credit: Chandra X-ray Observatory http://chandra.harvard.edu/photo/2002/0150/ must have large amount of dark matter to provide enough gravity Coma Cluster Typical speed? Enclosed mass?

2. Galaxy Motion in Clusters: 

2. Galaxy Motion in Clusters Orbital velocities of galaxies inside a galaxy cluster →total mass of galaxy cluster Zwicky, Smith (1930s) Virgo and Coma Clusters have much larger mass than visible mass How?

Slide12: 

3. Gallaxy Collisions galaxy collisions: matter→gravity→matter distribution

Slide13: 

4. Galactic Rotation Curve Photo credit: NASA/STScI

Slide14: 

Milkyway → Milkyway extended to 3-6x105 l.y.s, but dark!

Slide15: 

http://www.astro.queensu.ca/~dursi/dm-tutorial/rot-vel.html

Evidences for Dark Matter: 

Evidences for Dark Matter Hot gas surrounding most galaxy clusters Galaxy motion in clusters Galaxy collisions Galactic rotation curves But: What are they? How are they distributed? Why are they there? …..

Dark matter could be …: 

Dark matter could be … Baryonic dark matter: ordinary matter formed from protons, neutrons, electrons, etc. eg., planets、brown dwarfs、dark nebulae、black holes Non-baryonic dark matter: neutrinos、axions、supersymmetric partners (neutralinos, photinos, …) They exist, but not enough! We don’t know whether they exist, and we don’t know their properties! Except neutrinos! We even know now they are massive!

Neutrinos 中微子: 

Neutrinos 中微子 Elementary particles – no structure 3 kinds﹕ neutral Only weak and gravity forces, no strong or EM forces Penetrating: only 1 in 106 interacts (trapped) after passing through the entire Earth Produced in Big Bang: ~300/cc left over

How are dark matter distributed?: 

How are dark matter distributed? Make use of gravity: X-ray telescopes can be used to measure hot gas distribution →matter distribution Gravitational lens (重力透鏡): General Relativity → light distorted by gravity → gravity ~ lens image of a far galaxy →distorted, multiple images → reconstruct mass distribution

Gravitational Lens: 

Gravitational Lens Illustration credit: NASA/STScI

Gravitational Lens: 

Gravitational Lens Photo credit: NASA/STScI http://hubblesite.org/newscenter/newsdesk/archive/releases/2004/08/

Slide22: 

Credit: ESA, NASA, J.-P. Kneib (Caltech/Observatoire Midi-Pyrénées) and R. Ellis (Caltech) http://hubblesite.org/newscenter/newsdesk/archive/releases/2004/08/ Gravitational Lens

Slide23: 

Tune matter distribution to fit lensing effects From T. Tyson

Distribution of dark matter: 

Distribution of dark matter Galaxy Cluster CL0024+1654 From T. Tyson

II. Dark Energy : 

II. Dark Energy

Hubble’s Law: 

Hubble’s Law v =Hr

Fate of the universe: are there enough matter to stop its expansion?: 

Fate of the universe: are there enough matter to stop its expansion? →measure far away objects matter →gravity →decelerate But dim! more matter

Type IA Supernovae: 

Type IA Supernovae Explosions of white dwarfs with mass just >1.4 Mo →same initial conditions, standard and bright →can be observed over long distance Monitor spectra and light curves to identify types Compare visual and absolute magnitudes →distance redshift → receding speed v Extend Hubble’s diagram (v vs. d) to ~10 billion l.y.s M. Chu, ‘量子星’ http://www.phy.cuhk.edu.hk/gee/mctalks/mctalks.html

S. Perlmutter: 

S. Perlmutter Science Magazine: Breakthrough of the year 1998

Accelerating expansion: 

Accelerating expansion Found that the expansion of the universe is accelerating! Independently confirmed by Cosmic Microwave Background measurements. → repulsive force > gravity by 2.3 times! → Dark energy!

Slide31: 

Einstein’s Cosmological Constant 宇宙常數is just what’s needed! Introduced originally to counteract gravity. Dark energy = Cosmological Constant?

Slide32: 

L Einstein (after knowing Hubble’s result): L = 0 Quantum Mechanics (vacuum energy): L = 1012 Everybody but Peebles (pre-1998): L = 0 Almost everybody (2004): L = 0.7 How come??????

Universe as we know it today : 

Universe as we know it today Ordinary matter takes up ~5% of total mass; 95% of matter are dark matter matter accounts for 0.3 of total energy; 0.7 are ‘dark energy’ (vacuum force) the universe is flat (k = 0) many new discoveries new questions New Era for Cosmology as a Science!

III. Our Crazy Ideas: 

III. Our Crazy Ideas Neutrino stars Extra-dimensional cosmology

Related work at CUHK: 

Related work at CUHK Chan Man Ho: neutrino stars could exist, be stable, and provide the necessary gravity to explain various structures in the universe – galaxies, galaxy clusters, hot gas Cheung Kai Chung, Li Baojiu, Alfred Tang: extra spatial dimensions (1+3+n) can cause the accelerating expansion of the universe, without the cosmological constant Ngai Wah Kai, Alfred Tang: Daya Bay Neutrino Oscillation Experiment

Neutrino Star (中微子星): 

Neutrino Star (中微子星) Can massive neutrinos form a stable ‘star’? Yes. Hydrostatic equilibrium: gravity balanced by degenerate pressure (Pauli Exclusion Principle)

Slide37: 

→most galactic dark matter = neutrinos? Neutrino Star →We live inside a star? Calculate trajectories of stars inside a neutrino star →rotation curve

Slide38: 

Neutrino Star? Density distribution of dark matter by gravitational lensing observation

Slide40: 

Physics with Extra Dimensions Generalize standard physics to (1+3+n) dimensions Kaluza + Klein (1920’s) – General Relativity in (1+3+1) dimensions →gravity + Maxwell Eq. String theory (1990’s) – consistent only for D =11, 26 Brane model (1990’s) – our universe is in only one 4-d brane of the multi-dimension universe But we haven’t observed the extra dimensions! Could it be that we need to look at either very large or very small scales to see the extra dimensions? Our proposal: dark energy is a signature of extra dimensions!

Slide41: 

1+3+n Cosmology

Generalized Friedmann Equations: 

Generalized Friedmann Equations

Evolution of the universe: 

Evolution of the universe Li et al., CUHK

Deceleration Parameter: 

Deceleration Parameter Alam et al., MNRAS 354, 275 (2004). z = 0: today z > 0: past

Dark Energy EOS: 

Dark Energy EOS Alam et al., MNRAS 354, 275 (2004).

The CUHK Cosmological Model: 

The CUHK Cosmological Model Pure GR, + extra closed spatial dimensions No cosmological constant added in by hand; essentially no free parameter (n = 7 preferred, but not a must) Explains: deceleration, acceleration; Fits: deceleration parameter, dark energy EOS, cosmic age ~13 Gyr (n = 7) Features robust w.r.t. initial conditions, n, EOS Spontaneous compactification of extra dimensions Extra dimensions were large in early universe: signatures of extra dimensions in cosmology!

Understanding the Dark Universe: 

Understanding the Dark Universe Dark Matter – evidences, some proposals Dark Energy – evidences, some proposals Related research at CUHK - neutrino stars - extra dimensions M. C. Chu, ‘Understanding the Dark Universe’; 「黑暗物質與黑暗能量」 http://www.phy.cuhk.edu.hk/public_lectures/ Summary