# Special Relativity - Experimental Verification

### time near speed light

Like any scientific theory, the theory of relativity must be confirmed by experiment. So far, relativity has passed all its experimental tests. The special theory predicts unusual behavior for objects traveling near the speed of light. So far no human has traveled near the speed of light. Physicists do, however, regularly accelerate subatomic particles with large particle accelerators like the recently canceled Superconducting Super Collider (SSC). Physicists also observe cosmic rays which are particles traveling near the speed of light coming from space. When these physicists try to predict the behavior of rapidly moving particles using classical Newtonian physics, the predictions are wrong. When they use the corrections for Lorentz contraction, time dilation, and mass increase required by special relativity, it works. For example, muons are very short lived subatomic particles with an average lifetime of about two millionths of a second. However when they are traveling near the speed of light physicists observe much longer apparent lifetimes for muons. Time dilation is occurring for the muons. As seen by the observer in the lab time moves more slowly for the muons traveling near the speed of light.

Time dilation and other relativistic effects are normally too small to measure at ordinary velocities. But what if we had sufficiently accurate clocks? In 1971 two physicists, J. C. Hafele and R. E. Keating used atomic clocks accurate to about one billionth of a second (one nanosecond) to measure the small time dilation that occurs while flying in a jet plane. They flew atomic clocks in a jet for 45 hours then compared the clock readings to a clock at rest in the laboratory. To within the accuracy of the clocks they used time dilation occurred for the clocks in the jet as predicted by relativity. Relativistic effects occur at ordinary velocities, but they are too small to measure without very precise instruments.

The formula E=mc2 predicts that matter can be converted directly to energy. Nuclear reactions that occur in the Sun, in nuclear reactors, and in nuclear weapons confirm this prediction experimentally.

Albert Einstein's special theory of relativity fundamentally changed the way scientists characterize time and space. So far it has passed all experimental tests. It does not however mean that Newton's law of physics is wrong. Newton's laws are an approximation of relativity. In the approximation of small velocities, special relativity reduces to Newton's laws.

## Resources

### Books

Cutnell, John D., and Kenneth W. Johnson. Physics. 3rd ed. New York: Wiley, 1995.

Einstein, Albert. Relativity. New York: Crown, 1961.

Mould, R.A. Basic Relativity. Springer Verlag, 2001.

Hawking, Stephen. Black Holes and Baby Universes and Other Essays. New York: Bantam, 1993.

Schrödinger, Edwin. Space-Time Structure, Reprint Edition. Cambridge University Press, 2002.

Paul A. Heckert
K. Lee Lerner

## KEY TERMS

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General relativity

—The part of Einstein's theory of relativity that deals with accelerating (noninertial) reference frames.

Lorentz contraction

—An effect that occurs in special relativity; to an outside observer the length appears shorter for an object traveling near the speed of light.

Reference frames

—A system, consisting of both a set of coordinate axes and a clock, for locating an object's (or event's) position in both space and time.

Space-time

—Space and time combined as one unified concept.

Special relativity

—The part of Einstein's theory of relativity that deals only with nonaccelerating (inertial) reference frames.

Time dilation

—An effect that occurs in special relativity; to an outside observer time appears to slow down for an object traveling near the speed of light.

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almost 7 years ago

I think that Einstein's Special Relativity should correct The light velocity which is constant. This is because when space and time of frame of reference change, then the velocity of light which moves in there also changes. A proof for this in: http://www.wbabin.net/feast/cuong27.pdf and http://www.wbabin.net/science/cuong25.pdf . Or we must understand that when space and time of frame change from km to km' and s to s' ( of which space is denoted by km , km' and time is denoted by s , s' ), then a light velocity: c=300,000 km/s is difference from a light velocity: c'=300,000 km'/s'.

Le Van Cuong

over 6 years ago

So far we,humans have not found any wave or say anything travelling faster than the speed o that f light,i.e.,'c'. But just imagine that after some years we find a wave with same properties of light but its velocity(say d) is greater than 'c',i.e.,d>c and we perform the experiments with this wave whose velocity is constant as that of light. Then all the formulae of relativity which have been derived till now will b changed with the replacement of 'c' with 'd'. In that case,the say that we cannot travel with the speed of light will b disproved!!

over 8 years ago

relativity theory is all wrong from start to end. The is not one single experimental proof.