From: Subject: Cosmic Inflation Date: Tue, 27 Apr 2004 09:50:10 -0700 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_0000_01C42C3D.07D233A0"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C42C3D.07D233A0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://bustard.phys.nd.edu/Phys171/lectures/inflation.html Cosmic Inflation

Cosmic Inflation

Outline

Conceptual Problems with the Big Bang = Theory

Inflationary Universe Solution

=20
  • originally proposed by Starobinski (in Russian) to = solve the=20 Horizon and Flatness-Oldness Problem=20
    • in 1977 or 1978=20
    • no one noticed
  • In late 1979, Guth proposed a GUT theory version = to solve=20 the monopole problem=20
    • also solved Horizon and Flatness-Oldness = Problems=20
    • GUT version of Inflation Theory later shown not = to=20 work=20
    • GUTs later shown to be wrong by failure to = observe proton=20 decay=20
    • big success for Guth=20
      • was a struggling post-doc with bleak job=20 prospects=20
      • suddenly many job offers - now a tenured Prof. = and=20 MIT
  • Also provides a mechanism for generating the = primordial seed=20 density perturbations=20
    • which grow into galaxies and large scale = structure=20
    • and were seen by COBE-DMR
  • One difficulty is that particle physics = theory=20
  • Assumes that the Universe became dominated by the = "false=20 vacuum"=20
    • inflationary phase had accelerating = expansion=20
    =20
    • The inflationary period was temporary, but the = Universe=20 expanded by a huge amount: ~ 1030 or more =
  • Inflationary solution to the Horizon = Problem:=20
    • Suppose you have an intergalactic pen pal living = in one of=20 the "Great Wall" galaxies at a distance of ~200 million light = years=20
    • You can communicate with her via radio = waves=20
      • it takes 200 million years for a message to = arrive, but=20 this is much less than the age of the Universe (~1.3% of the age = of the=20 Universe)=20
      • because the Universe is expanding, each = message will=20 take longer to arrive=20
      • this because she is moving away from us, so = each message=20 has to travel farther.=20
      • as long as the expansion is slowing down, her = velocity=20 will be decreasing with time=20
      • we know the messages will reach her because = she won't be=20 going faster than the speed of light
    • Now, suppose the expansion of the Universe is=20 accelerating=20
      • her velocity away from us will be = increasing=20
      • eventually, her velocity will be > c (the = speed of=20 light) and we'll have lost a pen pal.=20
      • Note that v > c is ok as long as we are = considering=20 two objects far away in space.=20
        • It's just that the space in between us and = our pen pal=20 is increasing too fast for light to be able to make the = trip=20
        • It's not so different from communication = from inside a=20 black hole
    • Inflation solves the horizon problem=20
      • at early times, a small bit of space interacts = with=20 itself=20
        • i.e. it's in causal contact =
      • Inflation starts, and soon, this bit of space = can no=20 longer communicate with itself=20
      • Inflation ends, and the expansion starts = decelerating=20 again=20
        • the regions of space in "causal contact" = become larger=20 again=20
        • we see regions of space separated by = 60o on=20 the surface of last scattering and we think that they are coming = into=20 "causal contact"  for the 1st time=20
        • but according to inflation, they were in = contact long=20 ago as well=20
        • pre-inflation interactions may have set the=20 temperature to be the same
  • Inflationary Solution to the Flatness-Oldness = Problem=20
    • with ordinary matter and attractive = gravity,  =3D 1 is an unstable equilibrium point=20
    • with "false vacuum" matter and repulsive=20 gravity,  =3D 1 is=20 a stable equilibrium point=20
      • gravity causes  to=20 get closer and closer to 1
    • with a long enough period of = inflation,  will become so close to 1 that it won't be too far from = 1=20 today=20
      • most likely,  =3D 1=20 still holds to high accuracy today (if inflation is right)=20
      • a "prediction"
    • Graphically, the spatial curvature evolves like = the=20 following during inflation:
           =20 = before           &= nbsp;    =20 = next...           =   =20 = next...           =       =20 last
      =20
    • Here are "after" and "before" pictures: =
  • Inflationary solution to the Monopole = Problem=20
    • the rapid expansion quickly dilutes the density = of=20 monopoles to give ~1 monopole in the observable Universe=20
    • But, the same thing happens to all other = particles!=20
      • observationally, we know there's more than 1 = proton in=20 the Universe!!
    • So Inflation seems to remove all the matter in = the=20 Universe=20
    • We need to create all the observed matter when = inflation=20 ends=20
      • this can be done through "false vacuum" = decay=20
      • Many inflation models (including Guth's = original one)=20 fail to end with the production of matter=20
      • but some seem to work ok=20
      • successful models look "funny" from a particle = physics=20 point of view
    • Free Lunch=20
      • In the Big Bang, the whole Universe was once a = tiny spec=20 with a mass of > 1030 Msun=20
      • with Inflation, the entire Universe was once a = tiny spec=20 with a mass of < 1 gram=20
      • Where did all that energy come from?=20
        • Gravity: inflation creates a large positive = matter=20 energy and a large negative gravitational energy=20
        • Total energy of the Universe can be =3D = 0!=20
  • Inflationary Solution to the Primordial Seed = Problem=20
    • Inflation generates density perturbations = through quantum=20 fluctuations:=20
    • particle-antiparticle pairs are spontaneously = created and=20 annihilated on very short time scales.=20
      • this is a fundamental consequence of Quantum = Mechanics=20 and Heisenberg's Uncertainty Principle=20
      • it applies to all types of particles and = fields=20
      =20
    • Density perturbations are produced by quantum=20 fluctuations=20
      • normally, these would be on very tiny = scales=20
      • but inflation boosts them to very large = scales.=20
    • Inflation predicts that the primordial density=20 perturbations will be about the same on all length scales=20
      • as observed=20
      • but, this is predicted by other primordial = density=20 perturbation theories, too.

Observational Predictions of Inflation

  • If inflation occurred at t =3D 10-34 = sec, how do we=20 know if it really happened?=20
  • =3D 1 is sort of a prediction=20
    • but it was predicted by other arguments = previously=20
    • < 1 models are also possible
  • scale independent amplitude of primordial seed=20 perturbations=20
    • same prediction by other structure formation=20 theories
  • The best hope: The detailed angular scale = dependence of the=20 CMBR anisotropies:=20
    • Here are the current observational = results:=20
=20
    • But MAP and PLANK should do much better:=20


=20

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