Cosmology and art
New on the tutorial:
Cosmology is the study of the origin, current state, and future of our Universe. This field has been revolutionized by many discoveries made during the past century. My cosmology tutorial is an attempt to summarize these discoveries. It will be "under construction" for the foreseeable future as new discoveries are made. I will attempt to keep these pages up-to-date as a resource for the cosmology courses I teach at UCLA. The tutorial is completely non-commercial, but tax deductible donations to UCLA are always welcome.
Astronomy and cosmology are very much mathematical sciences, but I have attempted to avoid higher math in these pages. I do use high school algebra and geometry - courses required for admission to UCLA - but I have also included some animations [1, 2, 3, 4, 5, 6, 7], some Java applets [1, 2], and many illustrations in the tutorials, the ABC's of Distances, and the answers to some of the Frequently Asked Questions.
Slides for recent talks:
The course notes (131 pages, 403 equations, 51 figures) for the upper division undergraduate Stellar Systems and Cosmology course, Astronomy 140, that I last taught in spring 2008 are available on the Web. And for a much more technical discussion of cosmology see my graduate course Astro 275 lecture notes (137 pages, 432 equations, 46 figures). This course was last taught in the spring of 2013.
05 Feb 2015 - Planck released its latest cosmology results today. Technical preprints are available on the arxiv. The 6 parameter Λ CDM model is an excellent fit to the Planck data.
The parameters of the 6-parameter ΛCDM model fit to Planck TT power spectrum plus the Planck measured CMB lensing are given in paper I as : ΩΛ = 0.692 ± 0.012; the baryon density = 0.4181 ± 0.0043 yoctograms per cubic meter; the cold dark matter density = 2.228 ± 0.038 yoctograms per cubic meter; CDM:baryon density ratio = 5.36 ± 0.10; dark energy density = 3352 ± 125 eV/cc; H0 = 67.80 ± 0.9 km/sec/Mpc; and the age of the Universe = 13.799 ± 0.038 Gyr. The above values are from CMB data alone. Parameters fit to the Planck data plus external datasets (BAO, SNe) are given in the last column of Table 4 in paper XIII as: ΩΛ = 0.6911 ± 0.0062; the baryon density = 0.4189 ± 0.0026 yoctograms per cubic meter; the cold dark matter density = 2.232 ± 0.019 yoctograms per cubic meter; CDM:baryon density ratio = 5.33 ± 0.06; dark energy density = 3349 ± 67 eV/cc; H0 = 67.74 ± 0.46 km/sec/Mpc; and the age of the Universe = 13.799 ± 0.021 Gyr. The baryon density is known to 0.63% precision and the cold dark matter density is known to 0.84% precision.
The dark energy density is known to 2.0% precision, assuming a flat ΛCDM Universe. For theorists who set hbar and c to 1, it works out to (2.252 meV)4. We still have no good theory to explain this value.
Limits on 1 parameter extension to the 6 parameter model are
Planck data is available at the InfraRed Science Archive (IRSA)>.
30 Jan 2015 - A joint analysis of Planck & BICEP data shows that the previously reported detection of CMB B-mode polarization has the spectrum expected from dust in the Milky Way. Their new limit on the tensor to scalar ratio is r < 0.12 which is consistent with the limits from WMAP9 and Planck based on the angular power spectrum of the temperature anisotropy. The B-modes from lensing are well detected, and the primordial B-modes from inflation are not yet seen.
06 June 2014 - Bennett et al. give a concordance value for the Hubble constant with a precision of one percent: Ho = 69.6 ± 0.7 km/sec. This is based on CMB data, BAO data, and direct measurements of the Hubble constant. They also find the matter density ΩM = 0.286 ± 0.008. The Cosmology Calculator has been updated to use these as default values.
29 May 2014 - Alan Guth, Andrei Linde, and Alexei Starbinsky have won the 2014 Kavli Prize in Astrophysics for their theoretical work on the inflationary scenario in cosmology.
27 May 2014 - Daniel Eisenstein, Shaun Cole, and John Peacock have won the 2014 Shaw Prize in Astronomy for their work on baryon acoustic oscillations, which provide one of the most precise measures of the evolution of the Universe in modern cosmology.
17 Mar 2014 - The BICEP2 experiment has announced a detection of a primordial polarization signal from the inflationary epoch.
Marsh etal already have a paper using this result to constrain axion dark matter on the arxiv preprint server, posted less than 5 hours after the announcement.
Update: More papers on arxiv.org discussing this result: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 & 14; all posted within 2 days.
But I have some concerns about this result. The experimenters switched from a two frequency design to a single frequency design in order to get the highest possible signal to noise. This leaves them vulnerable to polarized foregrounds. In addition, both WMAP and Planck have placed upper limits on this signal that are lower than the claimed detection. But these upper limits are based on subtle features in the CMB angular power spectrum, so it may be the case that other parameters can be adjusted to accommodate all of these experiments.
More blogs with discussions of this result include Lumps'n'Bumps and Of Particular Significance.
23 Jan 2014 - I have been running a bit behind in posting news, but a big dataset has returned very good information about the Universe. This is from the BOSS: Baryon Oscillation Spectroscopic Survey which is working to get redshifts for 1.5 million Luminous Red Galaxies out to redshift z = 0.7. They have a strong 10σ detection of the BAO signal and measurements of the acoustic scale length in two redshift bins centered at z = 0.32 and 0.57. These results are detailed in a paper by Anderson et al.The thumbnail on the right is my simplified way of showing how these data, combined with the CMB measurement of the acoustic scale length at z = 1089, and the supernova measurement of the acceleration of the expansion of the Universe, provide enough information to simultaneously determine the current matter density, the current dark energy density and the rate of change of the dark energy density. The figure is labeled with the "Equation of State" w = P/ρc2 but I think a better way to think of this is in terms of the "cosmic interest rate" on dark energy density. The percentage change per unit time in the dark energy density is less than 1/3 of the Hubble rate and could well be zero, as expected for a cosmological constant.
11 Dec 2013 - A new preprint by Saro et al. reports on South Pole Telescope observations of the Sunyaev-Zeldovich effect cross-over frequency for cluster of galaxies versus their redshifts. The cross-over frequency is proportional to the temperature of the blackbody background that is being scattered. So if TCMB scale like (1+z) as expected, then the cross-over frequency at the cluster scales likes (1+z), but it gets redshifted which divides by (1+z), so the net effect is that the observed cross-over frequency is constant. They find that TCMB = To(1+z)1-α with α = 0.017 ± 0.029 from the SPT data alone which is 32 standard deviations away from the Steady State prediction of α = 1.
This result is very similar to a paper by Hurier et al. which used Planck data on clusters of galaxies, and obtained α = 0.009 ± 0.017 which is 58 standard deviations away from the Steady State prediction Planck has a wide range of frequencies from 30 to 857 GHz, so the cross-over at 217 GHz is easy to find, while the SPT only has 90 and 150 GHz and has to extrapolate to find the cross-over frequency but the SPT is a much bigger telescope and reaches much higher redshifts. All these results are consistent with the Big Bang model.
23 July 2013 - Hanson et al. announce the first detection of the B-mode polarization signal in the CMB. B-modes have a swirling pattern like a pinwheel. The result is at very small angular scales using the South Pole Telescope, and the signal is produced by gravitational lensing distorting the polarization produced by electron scattering (the E-mode). A distorted E-mode pattern contains a B-mode component. So this is not the primordial B-mode signal from the era of inflation, but a foreground pattern whose shape and amplitude can be definitely predicted. That prediction is now confirmed.
14 July 2013 - The Gruber Prize in Cosmology goes to Viatcheslav Mukhanov and Alexei Starobinsky. Starobinsky was a pioneer in studying the inflationary scenario.
29 April 2013 - The European Space Agency's Herschel Space Observatory has run out of liquid helium coolant, nearly 4 years after its launch. This means that there are currently no space infrared telescopes operating at wavelengths longer than the 4.5 μm channel of the Spitzer Space Telescope.
31 March 2013 - Planck released its first cosmology results today. Technical preprints are available here. The 6 parameter Λ CDM model is an excellent fit to the Planck data, and also to the Planck plus ACT, SPT and WMAP polarization extended CMB data, and to the CMB plus supernovae, Hubble constant and baryon acoustic oscillation data.
The parameters of the 6-parameter ΛCDM model fit to Planck+WMAP polarization+SPT+ACT+BAO are ΩΛ = 0.692 ± 0.010; the baryon density = 0.416 ± 0.0045 yoctograms per cubic meter; the cold dark matter density = 2.23 ± 0.032 yoctograms per cubic meter; CDM:baryon density ratio = 5.36 ± 0.10; dark energy density = 3352 ± 125 eV/cc; H0 = 67.80 ± 0.77 km/sec/Mpc; and the age of the Universe = 13.798 ± 0.037 Gyr. The baryon density is known to 1.1% precision and the cold dark matter density is known to 1.4% precision.
The dark energy density is known to 3.7% precision. For theorists who set hbar and c to 1, it works out to (2.25 meV)4. We still have no good theory to explain this value.
Limits on 1 parameter extension to the 6 parameter model are
Planck data is available at the InfraRed Science Archive (IRSA)>.
21 Dec 2012 - Bennett et al. presents the basic results, while Hinshaw et al. presents the cosmological fits. The 6 parameter Λ CDM model is still an excellent fit to the WMAP data, and also to the WMAP plus ACT and SPT extended CMB data, and to the CMB plus supernovae, Hubble constant and baryon acoustic oscillation data. The data are available now at LAMBDA. This is the last version of WMAP results. The baton is now passed on to Europe's Planck.
The parameters of the 6-parameter ΛCDM model fit to WMAP+BAO+H0 are ΩΛ = 0.712 ± 0.010; the baryon density = 0.426 ± 0.008 yoctograms per cubic meter; the cold dark matter density = 2.17 ± 0.04 yoctograms per cubic meter; CDM:baryon density ratio = 5.11 ± 0.14; dark energy density = 3607 ± 144 eV/cc; H0 = 69.33 ± 0.88 km/sec/Mpc; and the age of the Universe = 13.75 ± 0.085 Gyr. Both the baryon density and the cold dark matter density are known to 2% precision.
The dark energy density is known to 4% precision. For theorists who set hbar and c to 1, it works out to (2.3 meV)4. We still have no good theory to explain this value.
Several extensions to the 6 parameter ΛCDM are considered, but none are necessary to fit the data. The non-flat model gives Ωtot = 1.0027 ± 0.0039. This is perfectly consistent with a flat Universe.
The sum of the neutrino masses is < 0.44 eV.
The number of neutrino species is Neff = 2.83 ± 0.38
which is consistent with the standard value of 3.04 for 3 neutrino species.
Update 30 Jan 2013: v2 of the papers are posted to
the preprint server. With the helium abundance fixed, the number of
neutrino species for the WMAP+eCMB+BAO+H0 dataset is 3.84 ± 0.40
which is consistent (at 2σ) with the standard value.
12/12/12 - The Hubble Ultra Deep Field has been reobserved to greater depth in new filters in the infrared. Here are some highlights from the abstract of Ellis et al.:
Update 04 Jan 2013: Brammer et al. report a tentative emission line in UDFj-39546284 at 1.599 μm, which they feel is probably [O III] at z=2.19.
29 Oct 2012 - The South Pole Telescope announced new data on the small angular scale anisotropy of the Cosmic Microwave Background. Notable conclusions are:
01 Aug 2012 - Inflation cosmology theorists Alan Guth and Andrei Linde are among the 9 winners of the first Milner Prizes to be awarded. This prize amounts to $3,000,000.
12 Jun 2012 - Rahmani et al. report that the ratio of the 21 cm line of hydrogen to optical line wavelengths has not changed since 9 Gyr ago. Their limit on the change in a combination of constants x = gp α2 me/ mp is -0.1+/-1.3 parts per million. This makes earlier claims unlikely, since the claimed 10 parts per million change in α would change x by 20 parts per million.
13 Jan 2012 - The BBC reports that the dilution refrigerator that cools the High Frequency Instrument on the European CMB satellite Planck to 0.1 K has run out of 3He. The Low Frequency Instrument continues to operate at 4 K. The first announcement of cosmological results from Planck is scheduled for Jan 2013.
04 Oct 2011 -
Saul Perlmutter, Adam Riess & Brian Schmidt have won the
2011 Nobel Prize in Physics
for their work showing the Universe is accelerating
by measuring the brightness of distant supernovae.
This is evidence for an energy density of the vacuum or a
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