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The Discovery of the Universe's Beginning: A Look into the Infationary Model, Exercises of Astrophysics

The infationary model, a theory that explains the origins of the universe and its structure. The article explains how the universe began approximately 13.7 billion years ago, and how the cosmic microwave background radiation (cmbr) provides insights into the first moments of the universe. The infationary model also solved the monopole problem and made predictions about the properties of the universe, such as its geometry and the presence of gravitational waves. The wmap measurements have tested these predictions, providing evidence for the infationary model.

What you will learn

  • What evidence supports the infationary model?
  • What predictions does the infationary model make about the universe?
  • What is the infationary model and how does it explain the origins of the universe?

Typology: Exercises

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4 IPMU NewsNo. 10June2010
How did the universe begin? What happened
in its first moments? How did the rich structure
of galaxies, stars and planets emerge out of
nothingness? While humans have been asking
these questions for millennia, we can now directly
observe physical processes that occurred in the first
moments of the universe.
Because light travels at a finite speed, when we
look out in space, we look back in time. Since it
takes light eight minutes to travel from the Sun
to the Earth, we observe the Sun as it was eight
minutes ago. We see Jupiter as it was 30 minutes
ago and see nearby stars as they were 5 or 100
years ago. When the Subaru telescope observes a
distant galaxy, it sees light that left the galaxy 12
billion years ago.
Einsteinʼs theory of General Relativity (together
with our observations of the properties of the
universe) implies that our current universe began
13.7 Billion years ago. Today, the universe is filled
with cosmic microwave background radiation
(CMBR), the leftover heat from the
Big Bang.
Today, the temperature of the CMBR is only 3
degrees above absolute zero. However, when the
universe was younger, the CMBR was much hotter.
Three hundred and eighty thousand years after
Principal InvestigatorDavid N. Spergel
Research Area
Astrophysics
FE ATURE
How Did the Universe Begin?
the big bang, the temperature of the CMBR was
3000 degrees above absolute zero, roughly half
the temperature of the surface of the Sun. At this
temperature, the CMBR was hot enough to ionize
most of the hydrogen in the universe, so space was
filled with a dense plasma of electrons and protons.
The CMBR cannot penetrate this thick fog, so when
we look out in space, this is as far as we can see
back in time.
Over the past 15 years, most of my research has
focused on interpretation of tiny fluctuations in
the temperature of the CMBR measured by the
Wilkinson Microwave Anisotropy Probe (WMAP).
WMAP is a NASA satellite that orbits the Earth and
Sun at four times the distance of the moon where it
characterizes the CMBR.
Our observations have found a pattern of CMBR
temperature fluctuations consistent with a very
simple cosmological model characterized by only
five basic numbers: the age of the universe, the
mean density of atoms in the universe, the mean
density of matter in the universe, the amplitude
of fluctuations in the density of the universe and
the scale-dependence of these fluctuations (see
Figure 2). Not only does this model fit our data, but
The universe is filled with CMBR,
the leftover heat from the Big Bang
A simple model explains
cosmological observations
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4 IPMU News No 10 June 2010

How did the universe begin? What happened

in its first moments? How did the rich structure

of galaxies stars and planets emerge out of

nothingness? While humans have been asking

these questions for millennia we can now directly observe physical processes that occurred in the first moments of the universe Because light travels at a finite speed when we look out in space we look back in time Since it takes light eight minutes to travel from the Sun to the Earth we observe the Sun as it was eight minutes ago We see Jupiter as it was 30 minutes ago and see nearby stars as they were 5 or 100 years ago When the Subaru telescope observes a distant galaxy it sees light that left the galaxy 12 billion years ago Einstein s theory of General Relativity (together with our observations of the properties of the universe) implies that our current universe began 13 7 Billion years ago Today the universe is filled with cosmic microwave background radiation (CMBR) the leftover heat from the Big Bang Today the temperature of the CMBR is only 3 degrees above absolute zero However when the universe was younger the CMBR was much hotter Three hundred and eighty thousand years after

Principal Investigator David N Spergel

Research Area Astrophysics

FEATURE

How Did the Universe Begin?

the big bang the temperature of the CMBR was 3000 degrees above absolute zero roughly half the temperature of the surface of the Sun At this temperature the CMBR was hot enough to ionize most of the hydrogen in the universe so space was filled with a dense plasma of electrons and protons The CMBR cannot penetrate this thick fog so when we look out in space this is as far as we can see back in time Over the past 15 years most of my research has focused on interpretation of tiny fluctuations in the temperature of the CMBR measured by the Wilkinson Microwave Anisotropy Probe (WMAP) WMAP is a NASA satellite that orbits the Earth and Sun at four times the distance of the moon where it characterizes the CMBR

Our observations have found a pattern of CMBR temperature fluctuations consistent with a very simple cosmological model characterized by only five basic numbers the age of the universe the mean density of atoms in the universe the mean density of matter in the universe the amplitude of fluctuations in the density of the universe and the scale-dependence of these fluctuations (see Figure 2) Not only does this model fit our data but

The universe is filled with CMBR the leftover heat from the Big Bang

A simple model explains cosmological observations

5

Feature

with the same parameters this simple model also fits a host of astronomical observations including measurements of the Sloan Digital Sky Survey s measurements of the large-scale distribution of galaxies the Subaru telescope s measurements of galaxy lensing and the Hubble Space Telescope s measurements of the expansion rate of the universe using both supernovae and Cepheid variables This simple cosmological model not only provides a quantitative description of the evolution of our universe to its current rich structure but also provides insights into the first moments of the universe by testing the theory of inflation a theory that grew out of ideas in particle physics that describes the first moments of the universe

During the early 1980s physicists studying the unification of nuclear interactions with electromagnetism recognized that any unified theory would make a startling cosmological prediction the very hot early universe would have produced copious number of massive particles called monopoles These monopoles would today completely dominate the universe a prediction that is in obvious violation of the observed properties of the universe Katsuhiko Sato Alan Guth Andrei Linde Paul Steinhardt and Andrew Albrecht identified a solution to this monopole problem if the early universe underwent a phase transition then it would experience a rapid period of expansion that we now call inflation driven by the energy of the

Figure 1 This image (from the WMAP science Team) shows the history of the expanding universe

7

Feature

The WMAP measurements have directly tested these essential predictions of the simplest inflationary model The WMAP data implies that the geometry of the universe is remarkably close to flat and supports the astronomical evidence (primarily from supernovae observations) that the universe today is again undergoing a vacuum energy-driven period of accelerating expansion The basic CMBR fluctuations are remarkably well fit by a Gaussian (top-hat) distribution and appear to be statistically random The pattern of temperature and polarization fluctuations also reveal that the variations in density were adiabatic another dramatic confirmation of the predictions of the inflationary model The WMAP data also confirmed that the expansion rate of the universe is accelerating today

What more can we learn about inflation?

Inflationary models also predict the production of

gravitational waves that have distinctive signature in the pattern of microwave polarization fluctuations The Planck satellite and several ground and balloon- based experiments are currently trying to detect this signal

Does inflation predict other signatures? Is there

more information hidden in our image of the CMBR

(Figure 3)? Some inflationary models including

many of the string theory-inspired models predict subtle correlations in the maps Since Eiichiro Komatsu came to Princeton to work with me on a JSPS graduate fellowship over a decade ago I have been interested in looking for these non-Gaussian signals Some of my work at IPMU is an effort to look for new ways of observing these signatures With its rich mix of physicists astronomers and mathematicians IPMU is an ideal environment to contemplate and identify novel signatures of early universe physics and to continue our quest of studying the universe s first moments

Figure 3 WMAP s image of CMBR temperature fluctuations The red spots are 1/10 000 of a degree hotter than the blue regions

WMAP measurements directly tested the inflationary model predictions