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No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is homogeneous and isotropic Homogeneity => universe has no edge Isotropy => universe has no center “The cosmological principle has some very far-reaching implications. For example, it implies that there can be no edge to the universe because that would violate the assumption of homogeneity. And there can be no center because then the universe would not look the same in all directions from any noncentral point, violating the assumption of isotropy. This is the familiar Copernican principle expanded to truly cosmic proportions—not only

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Page 1: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

No Structure on Largest Scales (Galaxies distributed fairly uniformly)

Surprising given structure on smaller scales

Cosmological Principle:Universe is homogeneous

and isotropicHomogeneity => universe

has no edgeIsotropy => universe has no

center

“The cosmological principle has some very far-reaching implications. For example, it implies that there can be no edge to the universe because that would violate the assumption of homogeneity. And there can be no center because then the universe would not look the same in all directions from any noncentral point, violating the assumption of isotropy. This is the familiar Copernican principle expanded to truly cosmic proportions—not only are we not central to the universe, but no one can be central, because the universe has no center!”

Page 2: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Olbers` Paradox

If the universe is homogeneous, isotropic, infinite, and unchanging,then the night sky should beas bright as the sun. Why isn't it?

Page 3: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

The universe is expanding

=> Assumption that universe is unchanging is incorrect.

=> Doesn’t matter whether universe is finite orinfinite, we only see a finite part.

=> Light from objects greater than 14 billion light years away has not had time to reach us.

Page 4: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Cosmological Scales

How do we know that the universe is expanding?

Page 5: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Almost all galaxies exhibit show redshifted spectral lines => they are receding from us!

Size of universe is not static, nor shrinking due to influence of gravity. Universe is expanding.

Page 6: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Redshift or recessional velocity is proportional to distance: the farther away a galaxy is, the faster it is receding.

V = H0 x D (Hubble's Law)

velocity (km / sec) Distance (Mpc)

Hubble's Constant (km / sec / Mpc)

Or graphically. . .Current estimate:H

0 = 60 - 75 km/sec/Mpc

1 pc ~ 3 Light Years

Page 7: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Hubble Expansion Analogy

1 Mpc 6 Mpc 12 Mpc

2 Mpc 12 Mpc 24 Mpc

Accuracy increases with distance. The farther out , the faster the expansion. Works for any chosen point of reference. As the ruler cools, all points converge.

1 pc ~ 3 Light Years

Page 8: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Question

The spectrum of an AGN is _____.

A) mainly due to starlight B) very dim C) non-blackbody D) highly stable

Page 9: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Question

Hubble's law tells us that the ______.

A) closer a galaxy is, the faster it moves away B) farther a galaxy is, the faster it moves away C) farther a galaxy is, the slower it moves away D) farther a galaxy is, the larger it is

Page 10: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Question

Isotropy implies that the universe has no _____.

A) center B) curvature C) horizon D) edge

Page 11: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Dark Matter

“Upward of 90 percent of the matter in the universe is dark”

Two types: 1) normal matter that we can't “see”2) exotic subatomic particles that are still a mystery

How do we even know it's there? Gravitational Effects!

(Animation)

This matter is not just dark in the visible portion of the spectrum—it is undetected at any electromagnetic wavelength.

Page 12: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Recall the Cosmological Principle:

the universe is homogeneous (the same everywhere -> no edge) and isotropic (the same in all directions -> no center).

But NOT unchanging, the Universe is EXPANDING.

Page 13: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Hubble's Law imply that at some time in the past all galaxies in the universe lay on top of each other!

Big Bang: Beginning of the Universe Expansion of Universe is Expansion of Space Itself Therefore, can have expanding Universe AND Cosmological Principle.

time = velocity/distance = distance/(Ho * distance) = 1/Ho

So, if Ho ~ 70 km/sec/Mpc -> Universe is 14 Billion yrs old

Page 14: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

The Big Bang Primordial explosion creating our universe – all matter and space, “beginning” of time.

Hot and dense conditions => like a “fireball”

Evidence:

Specific prediction for initial amounts of hydrogen and helium

Cosmic Microwave Background Radiation

- 1976 & 2006 Nobel Prize in Physics

Page 15: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Primordial Nucleosynthesis

Creation of base level of helium (~25%) in the early universe. Supports big bang model!

Stopped when temperature and density became too low for fusion to continue

Page 16: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

The Formation Of Atoms

Early universe hotter and opaque to radiation Universe expanded and cooled

Electrons & nuclei combined => neutral atoms Epoch of Decoupling

Universe becomes transparent to EM radiation. Period during which nuclei and electrons combined

to form atoms

Page 17: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

The Epoch of Decoupling

After atoms of hydrogen and helium formed, only certain wavelengths of radiation—those corresponding to the spectral lines of those atoms, could interact with matter.

The universe became nearly transparent to radiation.

Universe continued to expand and radiation cooled becoming CMB

Page 18: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

The Fate of the Universe

What property determines the ultimate fate of the universe?

Page 19: No Structure on Largest Scales (Galaxies distributed fairly uniformly) Surprising given structure on smaller scales Cosmological Principle: Universe is

Affect of Density on the Universe