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Unformatted text preview: Ph 444 Numerical Assignment 1 Due: Friday, November 5, 2010 The fluctuations in the cosmic microwave background (CMB) radiation provide some of our most powerful constraints on the properties of the universe. We will see later in the course that an important length scale which is imprinted on the fluctuations is the particle horizon at the time when the matter and CMB radiation last interacted. This epoch of last scattering occurred at a redshift of about z = 1090. The particle horizon is the scale on which causal effects sound waves in the case of the CMB can operate. Your goal in this assignment is to see how the observable angular diameter of the particle horizon at the time of last scattering depends on some of the properties of the universe. We will assume that the redshift of last scattering is fixed. This is an approximation, but actually a very good one for reasons that we will study later. Assume that the universe today contains radiation with r, , matter with...
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