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Welcome to the home page of Max Tegmark

I, sometimes known as Mad Max or the Amtrak keg mixer, am a cosmologist who turned diaperologist for certain reasons. Below you can find out more about my research, popular articles on the same subjects, my publications, my students, my goofs, my mailing list, my photo album and other things.

MY RESEARCH: PRECISION COSMOLOGY

My research is focused on precision cosmology, e.g., combining theoretical work with new measurements to place sharp constraints on cosmological models and their free parameters. (Skip to here if you already know all this.) Spectacular new measurements are providing powerful tools for this:
COSMIC TOOLBOX
You can click on them for details. So far, I've worked mainly on CMB and LSS, with some papers involving lensing, SN 1a and LyAF as well.

Why do I find cosmology exciting?

(Even if you don't find cosmology exciting, there are good reasons why you should support physics research.)
  1. There are some very basic questions that still haven't been answered. For instance,
  2. Thanks to an avalanche of great new data, driven by advances in satellite, detector and computer technology, we may be only years away from answering some of these questions.
Satellites Rock! Since our atmosphere messes up most electromagnetic waves coming from space (the main exceptions being radio waves and visible light), the advent of satellites has revolutionized our ability to photograph the Universe in microwaves, infrared light, ultraviolet light, X-rays and gamma rays. New low-temperature detectors have greatly improved what can be done from the ground as well, and the the computer revolution has enabled us to gather and process huge data quantities, doing research that would have been unthinkable twenty years ago. This data avalanche has transformed cosmology from being a mainly theoretical field, occasionally ridiculed as speculative and flaky, into a data-driven quantitative field where competing theories can be tested with ever-increasing precision. I find CMB, LSS, lensing, SN 1a, LyAF, clusters and BBN to be very exciting areas, since they are all being transformed by new high-precision measurements as described below. Since each of them measures different but related aspects of the Universe, they both complement each other and allow lots of cross-checks.

What are these cosmological parameters?

Cosmic matter budget In our standard cosmological model, the Universe was once in an extremely dense and hot state, where things were essentially the same everywhere in space, with only tiny fluctuations (at the level of 0.00001) in the density. As the Universe expanded and cooled, gravitational instability caused these these fluctuations to grow into the galaxies and the large-scale structure that we observe in the Universe today. To calculate the details of this, we need to know about a dozen numbers, so-called cosmological parameters. Most of these parameters specify the cosmic matter budget, i.e., what the density of the Universe is made up of - the amounts of the following ingredients: Then there are a few parameters describing those tiny wiggles in the early Universe; exactly how tiny they were, the ratio of fluctuations on small and large scales, the relative phase of wiggles in the different types of matter, etc. Accurately measuring these parameters would test the most popular theory for the origin of these wiggles, known as inflation, and teach us about physics at much higher energies than are accessible with particle accelerator experiments. Finally, there are a some parameters that Dick Bond, would refer to as ``gastrophysics'', since they involve gas and other ghastly stuff. One example is the extent to which feedback from the first galaxies have affected the CMB fluctuations via reionization. Another example is bias, the relation between fluctuations in the matter density and the number of galaxies.

One of my main current interests is using the avalanche of new data to raise the ambition level beyond cosmological parameters, testing rather than assuming the underlying physics. My battle cry is published here with nuts and bolts details here and here.

The cosmic toolbox

Here is a brief summary of some key cosmological observables and what they can teach us about cosmological parameters.

Photos of the cosmic microwave background (CMB) radiation like the one to the left show us the most distant object we can see: a hot, opaque wall of glowing hydrogen plasma about 14 billion light years away. Why is it there? Well, as we look further away, we're seeing things that happened longer ago, since it's taken the light a long time to get here. We see the Sun as it was eight minutes ago, the Andromeda galaxy the way it was a few million years ago and this glowing surface as it was just 400,000 years after the Big Bang. We can see that far back since the hydrogen gas that fills intergalactic space is transparent, but we can't see further, since earlier the hydrogen was so hot that it was an ionized plasma, opaque to light, looking like a hot glowing wall just like the surface of the Sun. The detailed patterns of hotter and colder spots on this wall constitute a goldmine of information about the cosmological parameters mentioned above. If you are a newcomer and want an introduction to CMB fluctuations and what we can learn from them, I've written a review here. If you don't have a physics background, I recommend the on-line tutorials by Wayne Hu and Ned Wright. If you already work on CMB, visit my experiment compilation or my data analysis center. CMB experiments have already revolutionized cosmology, but I think the best is yet to come. For instance, NASA's MAP satellite will publicly release measurements of unprecedented quality in December 2002. Two new promising CMB fronts are opening up --- CMB polarization and arcminute scale CMB, and are likely to keep the CMB field lively for another decade.

Galaxy cluster Large-scale structure: 3D mapping of the Universe with galaxy redshift surveys offers another window on dark matter properties, through its gravitational effects on galaxy clustering. This field is currently being transformed by the 2dF Galaxy Redshift Survey and the Sloan Digital Sky Survey (SDSS). The SDSS, where I am part of the large-scale structure analysis team, will finish mapping a million galaxies in the nearby Universe over the next few years, and complementary surveys such as DEEP and VIRMOS will map high redshifts and the evolution of clustering. The abundance of galaxy clusters, the largest gravitationally bound and equilibrated blobs of stuff in the Universe, is a very sensitive probe of both the cosmic expansion history and the growth of matter clustering. Many powerful cluster finding techniques are contributing to rapid growth in the number of known clusters and our knowledge of their properties: identifying them in 3D galaxy surveys, seeing their hot gas as hot spots in X-ray maps or cold spots in microwave maps (the so-called SZ-effect) or spotting their gravitational effects with gravitational lensing.

Gravitational lensing Yet another probe of dark matter is offered by gravitational lensing, whereby its gravitational pull bends light rays and distorts images of distant objects. The first large-scale detections of this effect were reported by four groups (astro-ph/0002500, 0003008, 0003014, 0003338) in the year 2000, and I anticipate making heavy use of such measurements as they continue to improve, partly in collaboration with Bhuvnesh Jain here at Penn. Lensing is ultimately as promising as CMB and is free from the murky bias issues plaguing LSS and LyAF measurements, since it probes the matter density directly via its gravitational pull. I've also dabbled some in the stronger lensing effects caused by galaxy cores, which offer additional insights into the detailed nature of the dark matter.

Supernovae 1a: Supernovae If a white dwarf (the corpse of a burned-out low-mass star like our Sun) orbits another dying star, it may gradually steal its gas and exceed the maximum mass with which it can be stable. This makes it collapse under its own weight and blow up in a cataclysmic explosion called a supernova of type Ia. Since all of these cosmic bombs weigh the same when they go off (about 1.4 solar masses, the so-called Chandrasekhar mass), they all release roughly the same amount of energy - and a more detailed calibration of this energy is possible by measuring how fast it dims, making it the best "standard candle" visible at cosmological distances. The supernova cosmology project and the high z SN search team mapped out how bright SN 1a looked at different redshifts found the first evidence in 1998 that the expansion of the Universe was accelerating. This approach can ultimately provide a direct measurement of the density of the Universe as a function of time, helping unravel the nature of dark energy - I hope the SNAP project gets funded. The image to the left resulted from a different type of supernova, but I couldn't resist showing it anyway...

Lyman Alpha Forest The so-called Lyman Alpha Forest, cosmic gas clouds backlit by quasars, offers yet another new and exciting probe of how dark has clumped ordinary matter together, and is sensitive to an epoch when the Universe was merely 10-20% of its present age. Although relating the measured absorption to the densities of gas and dark matter involves some complications, it completely circumvents the Pandora's of galaxy biasing. Cosmic observations are rapidly advancing on many other fronts as well, e.g., with direct measurements of the cosmic expansion rate and the cosmic baryon fraction.

Summary of my past and current cosmology research

I used to have a description of each of my papers on this page, but it got very boring to read as the numbers grew, so I moved most of it to here, at the bottom of the page that has my list of publications. After graduate work on the role of atomic and molecular chemistry in cosmic reionization, I have mainly focused my research on issues related to constraining cosmological models. A suite of papers developed methods for analyzing cosmological data sets and applied them to various CMB experiments and galaxy redshift surveys, often in collaboration with the experimentalists who had taken the data. Another series of papers tackled various ``dirty laundry'' issues such as microwave foregrounds and mass-to-light bias. Other papers like this one develop and apply techniques for clarifying the big picture in cosmology: comparing and combining diverse cosmological probes, cross-checking for consistency and constraining cosmological models and their free parameters. (The difference between cosmology and ice hockey is that I don't get penalized for cross-checking...) My main current research interest is cosmology theory and phenomenology. I'm particularly enthusiastic about the prospects of comparing and combining current and upcoming data on CMB, LSS, galaxy clusters, lensing, LyA forest clustering, SN 1, etc. to raise the ambition level beyond the current cosmological parameter game, testing rather than assuming the underlying physics. This paper contains my battle cry. I also retain a strong interest in low-level nuts-and-bolts analysis and interpretation of data, firmly believing that the devil is in the details, and am actively working on analysis involving SDSS, WMAP and Boomerang (a CMB polarization experiment that I'm a member of).

OTHER RESEARCH: SIDE INTERESTS

Early galaxy formation and the end of the cosmic dark ages

One of the main challenges in modern cosmology is to quantify how small density fluctuations at the recombination epoch at redshift around z=1000 evolved into the galaxies and the large-scale structure we observe in the universe today. My Ph.D. thesis with Joe Silk focused on ways of probing the interesting intermediate epoch. The emphasis was on the role played by non-linear feedback, where a small fraction of matter forming luminous objects such as stars or QSO's can inject enough energy into their surrounding to radically alter subsequent events. We know that the intergalactic medium (IGM) was reionized at some point, but the details of when and how this occurred remain open. The absence of a Gunn-Peterson trough in the spectra of high-redshift quasars suggests that it happened before z=5, which could be achieved through supernova driven winds from early galaxies. Photoionization was thought to be able to partially reionize the IGM much earlier, perhaps early enough to affect the cosmic microwave background (CMB) fluctuations, especially in an open universe. However, extremely early reionization is ruled out by the COBE FIRAS constraints on the Compton y-distortion. To make predictions for when the first objects formed and how big they were, you need to worry about something I hate: molecules. Although I was so fed up with rate discrepancies in the molecule literature that I verged on making myself a Ghostbuster-style T-shirt reading "MOLECULES - JUST SAY NO", the irony is that my molecule paper that I hated so much ended up being one of my most cited ones. Whereas others that I had lots of fun with went largely unnoticed...

Gamma-ray bursts

Like most everybody else, I'm mystified and intrigued by the origin of gamma-ray bursts. Applying some of my power-spectrum related data analysis techniques to the new BATSE 3B data set, I have helped sharpen previous upper limits on anisotropy on all angular scales as well as tighten the previous best limits on burst repetition. Since these new limits were quite difficult to accommodate in models with a galactic halo origin, I firmly believed that gamma-ray bursts originated at cosmologically large distances from us - and I'm glad that I believed this before May 1997, when the halo camp finally conceded defeat! (Absorption lines with redshift 0.8 were detected in the afterglow of a gamma-ray burst.)

Quantum decoherence

I have a side interest in quantum decoherence - if you'd like to know more about what this is, check out my recent article in with John Archibald Wheeler in Scientific American here. I'm interested in decoherence both for its quantitative implications for quantum computing etc and for its philosophical implications for the interpretation of quantum mechanics. Since macroscopic systems are virtually impossible to isolate from their surroundings, a number of quantitative predictions can be made for how their wavefunction will appear to collapse, in good agreement with what we in fact observe. Similar quantitative predictions can be made for models of heat baths, showing how the effects of the environment cause the familiar entropy increase and apparent directionality of time. Intriguingly, decoherence can also be shown to produce generalized coherent states, indicating that these are not merely a useful approximation, but indeed a type of quantum states that we should expect nature to be full of. All these changes in the quantum density matrix can in principle be measured experimentally, with phases and all.

Math problems

I'm also interested in physics-related mathematics problems in general. For instance, if you don't believe that part of a constrained elliptic metal sheet may bend towards you if you try to push it away, you are making the same mistake that the famous mathematician Hadamard once did.

Crazy stuff

Every time I've written ten mainstream papers, I allow myself to indulge in writing one wacky one, like my Scientific American article about parallel universes. If you don't mind really crazy ideas, check out my bananas theory of everything. This includes musings on the dimensionality of space and time and on the universe containing virtually no information. If things anthropic make you foam at the mouth, try this. You might enjoy this trialog if you're interested in the question of life, the universe and everything without the equations.
 

MY PUBLICATIONS

By clicking here, you'll get a complete list of my publications and a brief summary of how the different papers fit together.

RESEARCH GROUP

Xiaomin Wang Yongzhong David Rusin
I've given birth to three Ph.D.'s at Penn: from left to right, they are Xiaomin Wang (left for postdoc at Chicago in 2004), Yongzhong Xu (left for postdoc at LANL in 2003) and David Rusin (left for postdoc at Harvard in 2001). I still haven't extorted photos from my two postdocs Havard Sandvik and Jose-Maria "Chema" Diego. Here are my astro colleagues at MIT and Penn.

MY MAILING LIST

By clicking here, you can join my mailing list, to be sent abstracts of future papers of mine on the topics you select.


MY PHOTO ALBUM


By clicking here, you can browse a few hundred pictures from my photo album. If you know me, you might find yourself here!
 By clicking here, you can participate in my ``virtual wedding'', hear the story and look at the pictures. My long-term goal is to become a virtual person, with all my worldly possessions (not just my photos) on my laptop. Unfortunately, my wife thinks shopping is a better idea...

PROCRASTINATION TIPS

Feeling morbid? Here's info about how you will die. Read about the stinkymeat project or the tragic death of Tycho Brahe or experience Fred's virtual day. Or better yet; write me an email by clicking here.
 


MY ADDRESS

After growing up in the Viking capital Stockholm and abandoning my parents and my brother to go do a Ph.D. in Berzerkeley and postdocs in Munich/Garching and Princeton, I married this woman and moved to Narberth and this infinite corridor at Penn. I then moved here:
Prof. Max Tegmark
Dept. of Physics, MIT
70 Vassar Street Rm. 37-626B
Cambridge, MA 02139
Phone: (617) 452-4627
Fax: (617) 253-9798
tegmark@mit.edu

Last modified: July 3, 2005

The mandatory silly disclaimer for Legal Eagles: Although this website is partially supported by NSF grants AST00-71213, AST-0134999 & AST-6915954, NASA grants NAG5-9194 & NAG511099, the Packard Foundation and the Cottrell Foundation, any opinions, findings and conclusions or recomendations expressed in this material are those of the author and do not necessarily reflect the views of the funding agencies. Especially not the silly ones.