Michael Murphy's Research
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Variable fundamental constants?

If you're looking for information on my recent nuclear physics measurement in a galaxy half way across the Universe see this
MEDIA RELEASE: Precise nuclear physics measurement in a galaxy far far away!


I am a lecturer and researcher at the Centre for Astrophysics & Supercomputing, Swinburne University of Technology. A major part of my work concerns the question "Do the constants of nature vary?". For the past 7 years I have been working with John Webb and Victor Flambaum on a search for possible variations in the fundamental constants of Nature, particularly the fine structure constant, usually denoted by the Greek letter alpha.

The alpha project has received sustained media publicity and I have tried to keep a scrap book of some of the major media releases here.

The following is an explanation of my research in layman's terms. See also Chris Churchill's Fine Structure Constant Page for more non-technical information. A slightly more technical overview article has recently been published in Physics World Magazine. If you want a more technical explanation then I suggest you read some of my recent publications.

Contents
The alpha team
The basics
The experiment
The results to date
The implications
The future
Aside: is it c or e that is varying?


The alpha team
This is an international collaborative effort involving mainly John K. Webb and Victor V. Flambaum at UNSW and myself at the University of Cambridge. Other collaborators who have contributed to the work presented in these pages are (in alphabetical order):
John D. Barrow1, Chris W. Churchill2, Francois Combes3, Stephen J. Curran4, Michael J. Drinkwater5, Vladimir A. Dzuba4, Jason X. Prochaska6, Panayiotis Tzanavaris4, Tommy Wiklind7, Arthur M. Wolfe8

at institutions 1DAMTP, Cambridge, 2Penn. State, 3Obs. Paris, 4UNSW, 5UQ, 6UCO-Lick Obs., 7OSO and 8UCSD


The basics
Here are some links explaining the basics of fundamental constants with particular emphasis on alpha.

What is a fundamental constant?: @ NIST
What is the fine structure constant?: @ NIST, @ Physlink
How are the constants measured?: @ Physics Today

Put briefly, a fundamental constant is a number that is central to a given theory - that is, to calculate/predict the results of an experiment, you need to know that number. But you can't use known theories to calculate that number - it must be measured in an experiment. In essence, these numbers are fundamental because we have no idea where they come from! And since no-one knows how to calculate their values, and because we do find the same value with different experiments conducted at different times/places, we assume that these numbers are, in fact, constants. The experiments we conduct tend to be limited to laboratories on the Earth during the last 100 years or so. But what if the constants are/were different in different places in the universe or at different epochs in cosmic history? An experiment should test the constancy of the constants in these extreme cases.

Our experiment picks on one very well known constant: the fine structure constant, alpha. This constant is the central parameter in electromagnetism - the theory of how light and matter interact. Alpha is a combination of other constants that you might be more familiar with: alpha = e2/hc where c is the speed of light, e is the charge of an electron and h is Planck's constant. Thus, alpha is important for a relativistic (i.e. c) quantum mechanical (i.e. h) theory of electromagnetism (i.e. e). But alpha is, in some sense, more fundamental the these other constants (see Aside - is it c or e that varies?). Alpha is known to exquisite precision from laboratory measurements:

1/alpha = 137.03599958

with an experimental uncertainty of just 0.00000052! But was alpha the same, say, billions of years ago? Or was/is it the same in extremely distant regions of the universe?

The experiment
Our investigation is astrophysical in nature. We look back in time through most of the history of universe to compare the value of alpha back then with what we measure in the laboratory on Earth today. To do this we have used the largest optical telescope in the world - The Keck I 10-m telescope on Mauna Kea, Hawaii - to record spectra of extremely distant quasars.

Quasars are extremely massive (about a billion solar mass) black holes that rip apart and suck in any surrounding material. They reside at the centre of some galaxies and pull in the surrounding stars and gas. The inspiralling material heats up as it collides with other material causing the quasar to shine extremely brightly. In fact most quasars outshine their host galaxies which contain more than 100 billion stars. A massive black hole also resides at the centre of our own galaxy - The Milky Way - but it is not heavy enough to begin to shine as brightly as a quasar. Quasars are so bright and so compact that they can be seen even when the quasar is many billions of light years away (to compare, the age of the universe is about 14 billion years).

The study of Quasars is very interesting in itself but, in our experiment, we use the quasars only as background sources of light to reveal our real targets of interest, intervening absorption clouds. These clouds are mostly made up of hydrogen (the most abundant element in the universe) but also contain ionized traces of heavier atoms such as Magnesium (Mg), Aluminium (Al), Silicon (Si), Chromium (Cr), Iron (Fe), Nickel (Ni) and Zinc (Zn) - metallic atoms familiar to us here on Earth.

The metallic atoms absorb some of the quasar light on its 10 billion year journey to the Earth. This absorption is very characteristic of each atom, much like a fingerprint is characteristic of each person. As we receive the light at the telescope, we spread it out into its colours - we form the spectrum of the quasar light - to reveal each atom's fingerprint. See Fig. 1 for a schematic explanation of this. Other snazzy figures exist at The New York Times and The Washington Post.


Figure 1: We look back from Earth to a distant quasar and spread the light out into a spectrum. As the light travels to Earth it traverses an intervening absorption cloud. The atoms in the cloud imprint the quasar spectrum with their "fingerprint" absorption lines (labelled as "'Metal' absorption lines"). We compare this fingerprint with that found in laboratories here on Earth to infer any possible changes in the fine structure constant.


The results to date
We have now analysed the spectra of 128 absorption clouds observed toward 68 different quasars with the HIgh Resolution Echelle Spectrograph (HIRES) on the Keck I 10-m telescope and compared the atomic fingerprints with those measured in laboratory experiments here on Earth. On average, we see very slight differences between the quasar and laboratory spectra: the lines making up the fingerprints appear at slightly different wavelengths/colours than expected! The separation between the absorption lines is controlled by the fine structure constant, alpha, and so we interpret these differences as changes in alpha. See Fig. 2 for a recent plot of our results.


Figure 2: Our measured fractional change in the fine structure constant, alpha=e2/hc, is plotted as a function of fractional look-back time (0=present day, 1=beginning of time, about 13.4 billion years ago). The corresponding cosmological redshift is shown along the bottom axis. Each point represents the average value of about 10 absorption systems. There is now evidence that alpha has evolved one part in 100,000 over the last 10 billion (or so) years. Another possibility is that alpha is simply different in distant regions of the universe from what we measure on Earth.


The implications
Since alpha fixes the strength of the electromagnetic interaction, it plays an absolutely fundamental role in the working of atoms and how those atoms interact with light. In short, alpha controls most of the phenomena you see around you in everyday life. If the results above are confirmed by future experiments then does a change in alpha of 1 part in 100 000 over 10 billion years mean anything for everyday life? There are several answers to this question.

The first and most naive answer is "No". The change in alpha we observe means very little for everyday life because alpha won't have changed by very much over the lifetime of humanity. This is not enough to cause atoms to fall to bits or for the Sun to burn its fuel at a terribly different rate.

But we should learn a lesson from history here. When Faraday discovered electricity in the 19th century, people often questioned him as to the significance of his discovery. At that time, Faraday could not possibly have imagined how society would become so completely dependent on electricity today. When Chancellor of the Exchequer, William Gladstone was invited to a demonstration of Faraday's electrical equipment, Gladstone is reputed to have remarked "It is very interesting, Mr Faraday, but what practical worth is it?" Faraday is supposed to have replied "One day, sir, you may tax it.". One doesn't know at the present what everyday implications our discovery may have if it is shown to be correct but I'd be willing to bet that one day, you might have to pay tax on it.

More seriously, our results have the potential to revolutionise the way we understand the universe on all scales, from the subatomic to the universal. All of modern physical theory is based on the assumption that the laws of physics remain the same no matter where or when you happen to be. Physicists have what is called a "standard model" of the universe which allows them to explain all observed phenomena. This standard model cannot explain variations in the constants and so, if our results are correct, the standard model would need a complete overhaul: we will have discovered the first hint of a completely new set of physical laws, hitherto unseen and not to be understood for some time.

But perhaps we are closer to understanding varying constants than we think. Some modern theories which step outside the "standard model" have room for varying constants. In particular, theories such as string/M-theory allow for changes in the constants. These theories attempt to unify all the known forces of Nature (gravitation, electromagnetism, the strong and weak nuclear forces) by postulating the existence of extra dimensions in space. The extra dimensions (sometimes more than 20 in number!) are "compactified" or rolled up onto themselves so we don't experience them in our usual (3+1)-dimensional universe. If the size of the extra dimensions changes (as do our three dimensions - ever heard the expanding universe?) then this could manifest itself as changes in the fundamental constants.


The future
Our recent results are by no means conclusive. We have thoroughly searched for other possible explanations for our results. Research science is constantly plagued by the problem of "systematic errors". These errors mimic your result or somehow destroy it. They are notoriously hard to identify. And this is what we've been looking for in our results. But we still can't find anything that explains our results besides a varying alpha!

The best approach in science is to always check (and re-check if necessary) your results using different equipment and analyses. We are therefore currently analysing a new, large dataset observed with the aptly named Very Large Telescope in Chile. But there's a famous saying in science: "Extraordinary claims require extraordinary evidence.". Though we are claiming something quite extraordinary here, the evidence, though very strong, is not extraordinary enough. Even if we confirmed the Keck results with the VLT, no one should really believe that constants are varying until another type of experiment confirmed the results. Possibilities for other types of experiments include making very precise measurements of the fluctuations seen on the Cosmic Microwave Background sky - the radiation left over from the big bang. Another possibility is to measure very accurately the abundances of the elements that were produced in the big bang. But these methods have their own problems and systematic errors and their current precision is not quite high enough. But we're hoping this will improve soon!


Aside: is it c or e that is varying?
Above I mentioned that alpha is made up of three other constants: alpha = e2/hc where c is the speed of light, e is the charge of an electron and h is Planck's constant. Both laymen and scientists alike always ask whether we have any idea whether it's c, e or h that varies. This frequently asked question has a subtle and often misunderstood answer. But it's interesting, so read on!

In fact, one can never experimentally distinguish between a varying c or e because these quantities are always measured in some arbitrary units like meters, kilograms, seconds etc. Consider measuring the time it takes light to travel between you and me on Monday and then again on Tuesday. Imagine that the two answers were different. What does this tell you? You might conclude that the speed of light, c, has changed between Monday and Tuesday or, equally well, you could conclude that time has slowed/accelerated or that your measuring rods (i.e. meter rules) have changed length. These three conclusions are all equally valid and can not be distinguished by an experiment! But alpha is special because it is a dimensionless combination of other constants: alpha is just a number, i.e. no units! We can therefore measure changes in alpha unambiguously.

Some confusion has arisen recently in the literature about this question. The problem is that there exist well defined theories called "Varying Speed of Light" (VSL) and "Varying Electric Charge" (VEC) theories. For example, in VSL theories, it is indeed the speed of light that is considered to vary. But this is just a mathematical convenience: one could easily convert any VSL theory into a VEC theory! The only reason one chooses to label one particular theory a VSL or VEC theory is because that theory might look simpler (mathematically and intuitively) when considering a varying c or e. Essentially, the confusion is that the (arbitrary) names given to these theories mask their inherent duality (or triality if you include h!).


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