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Max Tegmark University of Pennsylvania Max Tegmark University of Pennsylvania MEASURING THE UNIVERSE.

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Presentation on theme: "Max Tegmark University of Pennsylvania Max Tegmark University of Pennsylvania MEASURING THE UNIVERSE."— Presentation transcript:

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2 Max Tegmark University of Pennsylvania Max Tegmark University of Pennsylvania MEASURING THE UNIVERSE

3 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Who cares? WHO CARES ABOUT COSMOLOGY? Particle physicists: - Is there dark matter? Massive neutrinos, wimps, axions or something else? - Did inflation happen? Can we learn about physics at very high energies? General relativists: - Did inflation produce gravity waves? - What is the geometry of the Universe? Numerical simulators: - Only need to run the code once, not for umpteen cosmological models People on the street - Will there be a big crunch? - How did it all begin? - Are there infinitely many other stars? Observers: - What is the correct age, distance and size for the objects being studied?

4 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Onion

5 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 WHAT DO WE WANT TO MEASURE?

6 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Onion Tegmark 2002, Science, 296, 1427-33

7 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Budget h 2 b =.021 +.006.006 Matter Budget Early Universe Gastrophysics =0.66 +.10.13 h 2 c =0.12 +.05.03 h 2 =.001 +.04 h 2 =0.0001 k =0.00 +.06.06 (95% limits) Scalar normalization Q ~ 10 5 Scalar tilt n = 0. 93 +.12 Running of tilt = ? Tensor normalization R < 0.2 Tensor tilt n T = ?.10 Is cosmology solved? We still have no clue what 95% of all stuff is made of! Reionization optical depth Galaxy bias b ~ 1 (for 2dF L*) Hubble parameter.07 h=0.65 +.11.11 THOSE PESKY PARAMETERS: WERE ZEROING IN! (August 2002) (Post-CBI parameters from Xiaomin Wang)

8 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Our tools

9 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord

10 The cosmic plan: LECTURE 1: Cosmology primer: Review of the basics of modern cosmology (basic cosmological storyline, inflation, nucleosynthesis, recombination, structure formation, etc) to get everybody up to speed on the foundations underlying the other lectures. LECTURE 2: Cosmic microwave background: The basics of acoustic oscillations, how different cosmological parameters affect the CMB, summary of current and upcoming experiments. LECTURE 3: Galaxy clustering: The basics of structure formation, how different cosmological parameters affect the matter power spectrum P(k), summary of current and upcoming galaxy surveys. LECTURE 4: Other cosmological probes, outlook: Gravitational lensing, Lyman alpha forest, supernovae Ia, latest constraints on cosmological parameters, open questions, my speculations about what will be exciting areas for future research.

11 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 I. OVERVIEW OF THE BASICS

12 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Big Bang Zoom Higher order: gastrophysics 0th order: a(t) 1st order: g(z,k)

13 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring a(t)

14 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Tegmark 2001

15 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom SN Ia Tegmark 2001

16 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom SN Ia Tegmark 2001 NOW SNAP See also Wang & Garnavich 2001

17 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Big Bang Zoom Higher order: gastrophysics 0th order: a(t) 1st order: g(z,k)

18 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 People CMB

19 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 FFT CMB

20 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results

21 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results Tegmark & Zaldarriaga, astro-ph/0207047

22 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Tegmark 2001

23 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies

24 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Tegmark & Zaldarriaga, astro-ph/0207047

25 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

26 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

27 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

28 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Lensing Tegmark & Zaldarriaga, astro-ph/0207047

29 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 END OF LECTURE I

30 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 II. CMB

31 The cosmic plan: LECTURE 1: Cosmology primer: Review of the basics of modern cosmology (basic cosmological storyline, inflation, nucleosynthesis, recombination, structure formation, etc) to get everybody up to speed on the foundations underlying the other lectures. LECTURE 2: Cosmic microwave background: The basics of acoustic oscillations, how different cosmological parameters affect the CMB, summary of current and upcoming experiments. LECTURE 3: Galaxy clustering: The basics of structure formation, how different cosmological parameters affect the matter power spectrum P(k), summary of current and upcoming galaxy surveys. LECTURE 4: Other cosmological probes, outlook: Gravitational lensing, Lyman alpha forest, supernovae Ia, latest constraints on cosmological parameters, open questions, my speculations about what will be exciting areas for future research.

32 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Big Bang Zoom Higher order: gastrophysics 0th order: a(t) 1st order: g(z,k)

33 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom SN Ia Tegmark 2001 NOW SNAP See also Wang & Garnavich 2001

34 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies

35 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Tegmark & Zaldarriaga, astro-ph/0207047

36 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

37 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

38 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

39 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Lensing Tegmark & Zaldarriaga, astro-ph/0207047

40 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Onion

41 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom CMB De Bernardis et al 2000, Lange et al 2000 BOOMERaNG

42 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom CMB De Bernardis et al 2000, Lange et al 2000

43 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom CMB Tegmark, Jr., 2001

44 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord CMB DASI

45 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord CBI

46 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord CBI

47 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord CMB VSA

48 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 MAP Labeled MAP SATELLITE

49 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Map simo CMB Hinshaw 1999 60 GHz simulation with 0.2 deg resolution

50 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results

51 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 no_expe riments CMB CMB POWER SPECTRUM DETECTIONS AS OF 1/1 1992

52 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results

53 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results Tegmark & Zaldarriaga, astro-ph/0207047

54 CMB effects:

55 Linear perturbation growth

56 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Big Bang Zoom

57 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 History CMB (Figure from Wayne Hu)

58 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Onion

59 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Big Bang Zoom 0th order: a(t) 1st order: g(z,k)

60 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 History CMB (Figure from Wayne Hu)

61 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom Box CMB + LSS

62 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

63 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

64 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

65 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

66 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 END OF LECTURE II

67 The cosmic plan: LECTURE 1: Cosmology primer: Review of the basics of modern cosmology (basic cosmological storyline, inflation, nucleosynthesis, recombination, structure formation, etc) to get everybody up to speed on the foundations underlying the other lectures. LECTURE 2: Cosmic microwave background: The basics of acoustic oscillations, how different cosmological parameters affect the CMB, summary of current and upcoming experiments. LECTURE 3: Galaxy clustering: The basics of structure formation, how different cosmological parameters affect the matter power spectrum P(k), summary of current and upcoming galaxy surveys. LECTURE 4: Other cosmological probes, outlook: Gravitational lensing, Lyman alpha forest, supernovae Ia, latest constraints on cosmological parameters, open questions, my speculations about what will be exciting areas for future research.

68 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Paid advertisement: Come to Penn! www.physics.upenn.edu

69 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

70 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

71 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

72 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

73 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

74 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

75 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

76 Acoustic oscillations: (Figure courtesy of Wayne Hu)

77 CMB effects:

78 CMB lensing:

79 The Rees-Sciama effect:

80 CMB effects:

81 OV effect

82 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Large-scale structure

83 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom CMB Boomerang Virgo LCDM simulation

84 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom CMB Boomerang 2dF galaxies

85 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Tegmark & Zaldarriaga, astro-ph/0207047

86 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 APO SDSS

87 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 SDSS Telesco pe SDSS

88 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 SDSS Zoom SDSS

89 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg OmOl Sky coverage of SDSS redshift survey (Aitoff projection, equatorial coordinates) (Dust map fromSchlegel, Finkbeiner & Davis)

90 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Tegmark 2001

91 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Tegmark & Zaldarriaga, astro-ph/0207047

92 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom Box CMB + LSS

93 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

94 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

95 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

96 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

97 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

98 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

99 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

100 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

101 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

102 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS

103 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 END OF LECTURE III

104 The cosmic plan: LECTURE 1: Cosmology primer: Review of the basics of modern cosmology (basic cosmological storyline, inflation, nucleosynthesis, recombination, structure formation, etc) to get everybody up to speed on the foundations underlying the other lectures. LECTURE 2: Cosmic microwave background: The basics of acoustic oscillations, how different cosmological parameters affect the CMB, summary of current and upcoming experiments. LECTURE 3: Galaxy clustering: The basics of structure formation, how different cosmological parameters affect the matter power spectrum P(k), summary of current and upcoming galaxy surveys. LECTURE 4: Other cosmological probes, outlook: Gravitational lensing, Lyman alpha forest, supernovae Ia, latest constraints on cosmological parameters, open questions, my speculations about what will be exciting areas for future research.

105 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring parameters

106 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom Box CMB + LSS

107 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Constraints on dark matter

108 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg obns Wang, Tegmark & Zaldarriaga 2001

109 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg obns Wang, Tegmark & Zaldarriaga 2001

110 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg obns Wang, Tegmark & Zaldarriaga 2001

111 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg obns Wang, Tegmark & Zaldarriaga 2001 +

112 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg obns Wang, Tegmark & Zaldarriaga 2001 +

113 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Constraints on neutrinos

114 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 cmbgg

115 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Constraints on dark energy

116 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg OmOl CMB Tegmark, Zaldarriaga & Hamilton 2000

117 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg OmOl CMB Tegmark, Zaldarriaga & Hamilton 2000 + LSS

118 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg OmOl CMB Tegmark, Zaldarriaga & Hamilton 2000 + LSS

119 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Cmbgg OmOl CMB Tegmark, Zaldarriaga & Hamilton 2000 + LSS

120 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Budget h 2 b =.021 +.006.006 Matter Budget Early Universe Gastrophysics =0.66 +.10.13 h 2 c =0.12 +.05.03 h 2 =.001 +.04 h 2 =0.0001 k =0.00 +.06.06 (95% limits) Scalar normalization Q ~ 10 5 Scalar tilt n = 0. 93 +.12 Running of tilt = ? Tensor normalization R < 0.2 Tensor tilt n T = ?.10 Is cosmology solved? We still have no clue what 95% of all stuff is made of! Reionization optical depth Galaxy bias b ~ 1 (for 2dF L*) Hubble parameter.07 h=0.65 +.11.11 THOSE PESKY PARAMETERS: WERE ZEROING IN! (December 2001)

121 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord They hunted till darkness came on, but they found Not a button, or feather, or mark, By which they could tell that they stood on the ground Where the Baker had met with the Snark. In the midst of the word he was trying to say, In the midst of his laughter and glee, He had softly and suddenly vanished away For the Snark was a Boojum, you see. The Hunting of the Snark/Missing Mass by Lewis Carroll […]

122 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord

123 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

124 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring P(k) with CMB

125 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB

126 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB

127 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Saskato on Zoom CMB May 23, 2002: New CBI & VSA results Tegmark & Zaldarriaga, astro-ph/0207047

128 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB

129 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

130 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

131 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring P(k) with the Ly F

132 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Croft LyA Croft et al 2000 Ly

133 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Lyman Alpha Forest Simulations: Dave, Hernquist, Katz & Weinberg 1999 Ly

134 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Croft LyA Reanalysis of Croft et al (astro-ph/0012324) by Hamilton & Gredin (astro-ph/0111194) Ly

135 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

136 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

137 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring P(k) with weak lensing

138 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Lensing Gravitational lensing

139 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Lensing

140 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Lensing

141 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 distorti on Lensing

142 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Van Waerbeke et al 2000, astro-ph/0101511 Lensing

143 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Boom zoom Lensing Hoekstra et al 2002, astro-ph/0204295 (53 square degrees!)

144 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Lensing Tegmark & Zaldarriaga, astro-ph/0207047

145 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Lensing Tegmark & Zaldarriaga, astro-ph/0207047

146 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Tegmark & Zaldarriaga, astro-ph/0207047

147 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Lensing Tegmark & Zaldarriaga, astro-ph/0207047

148 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Measuring the primordial power spectrum P * (k)

149 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB Ly LSS Clusters Lensing Tegmark & Zaldarriaga, astro-ph/0207047

150 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Tegmark & Zaldarriaga, astro-ph/0207047

151 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Tegmark & Zaldarriaga, astro-ph/0207047

152 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS Tegmark & Zaldarriaga 2002

153 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS Tegmark & Zaldarriaga 2002

154 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS Tegmark & Zaldarriaga 2002

155 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB + LSS Tegmark & Zaldarriaga 2002

156 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Wrong baryon density: b =0.07 Tegmark & Zaldarriaga, astro-ph/0207047

157 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies Wrong baryon density: b =0.07 Tegmark & Zaldarriaga, astro-ph/0207047

158 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 1par movies CMB

159 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 Smorga sbord Beyond cosmological parameters, summary: Test the underlying physics rather than assuming it Cosmological functions rather than cosmological parameters Measure the free functions rather than parametrizing them in a way involving untested physical assumptions - a form of data compression Do observations disagree with each other or with theory? Data => Cosmological functions <= Theory

160 Max Tegmark Univ. of Pennsylvania max@physics.upenn.edu Campos de Jordão September 2,2002 0th order 1st order


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