TO SOME, it might seem that Eric Adelberger is on a wild goose chase. Not only is he trying to disprove Newton's law of gravity, which has withstood over 300 years of scrutiny, but for years now every experiment he has done at the University of Washington in Seattle has come up with zilch.
Despite this, Adelberger has no shortage of graduate students keen to help, even though they are all getting null results too. So what's going on - why do they bother? Because the first person to find what they are looking for will make history. Find the blip, and you have proved that gravity leaks out from our world into hidden dimensions.
It might seem like a far-fetched scenario, but it seems to be the best way to explain the strangeness of gravity, a force totally unlike the three others we have observed in the universe - the electromagnetic, strong and weak forces. For a start, every bit of matter, from the tiniest speck of dust to the greatest star, generates gravity and attracts every other thing. But its most curious aspect is its strength.
Gravity is vastly weaker than the other three forces. You only have to look at a fridge magnet to see that: even for a fairly heavy magnet, gravity's pull - which is also proportional to the enormous mass of the Earth - is as nothing compared with the attraction to the fridge door. Nobody has yet managed to explain the huge gulf in strength between gravity and the other forces.
Adelberger's search for an explanation began in 1998. That's when Nima Arkani-Hamed, now at Harvard University, Savas Dimopoulous from Stanford University in California and Gia Dvali of New York University came up with a hypothesis. The three theorists had been playing with the idea of extra dimensions, because modern theories that unite gravity and the other forces of nature often require that the universe has extra spatial dimensions too tiny for most experiments to observe (New Scientist, 29 September 2001, page 26).
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One of the predictions of the theory is that leakage into those extra dimensions might cause gravity to deviate from Newton's inverse square law. This law of gravitational attraction says that the mutual pull of two objects decreases in proportion to the inverse of the square of their separation. That's because the way gravity varies with distance depends on the number of dimensions the space has.
In three dimensions, the surface area of a sphere surrounding a point mass increases as the square of the radius of the sphere. The idea is that, since the total "amount" of gravity reaching successively larger spheres should remain constant, the strength of that gravity therefore falls off like the inverse of the square of the distance. In four dimensions the surface area of a sphere depends on the cube of the radius, in five it's the fourth power, and so on. So in higher-dimensional spaces, the force of gravity must dissipate ever more rapidly, which means it will no longer obey Newton's inverse square law, but some law in which its strength falls off far more sharply.
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So these extra dimensions might be accessible to experiments after all. But that's not to say they would be easy experiments to perform: gravity is so weak that it is extremely difficult to bring together enough matter to generate a measurable force at a few millimetres of separation. After all, you can't play around with things the mass of a planet in an Earth-bound laboratory. Nonetheless, Adelberger and his colleagues have slowly and surely been finding ways to put an upper bound on the size of the hidden extra dimensions.
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To look for gravitational anomalies, Adelberger simply sets the attractors rotating together. The rotation of the thin upper attractor alone would cause the pendulum to twist back and forth 10 times per rotation (each twist is around one ten-thousandth of a degree). That's because the holes in the plates and the pendulum act, mathematically, like negative masses, which you can think of as attracting each other. However, the rotation of the lower, thicker attractor - or rather its offset holes - compensates for this. "You can arrange things so the peak of the signal from one plate corresponds to the trough of the signal from the other, so they just cancel out," Adelberger explains.
The result is that the pendulum should not twist at all, provided gravity follows an exact inverse square law. If, on the other hand, a component of the gravitational force from the lower disc decreases more rapidly with distance, its effect on the torsion balance will be negligible, since it is further away. The forces will no longer cancel exactly, and the pendulum will twist.
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Torsion balances are not the only way forward. Groups at Stanford and the University of Colorado have constructed what amount to microscopic tuning forks made from single crystals of silicon. If you set one of these tuning fork vibrating and then bring a test mass up close to it, the gravitational attraction subtly changes the pitch of the tuning fork, and this change reflects the strength of the force. But again, errors can creep in.
Aside from eliminating stray vibrations, the experimenters have to watch out for electromagnetic fields and other effects. Even the ghostly Casimir force, caused by pairs of particles and antiparticles that spontaneously pop into existence out of the "empty" space of the quantum vacuum, is far greater than the gravitational force and must be carefully accounted for. Preliminary measurements have still revealed no evidence of any deviation from the inverse square law down to the 10-micrometre scale.