The Compact Muon Solenoid detector at the Large Hadron Collider, where protons are accelerated to 99.999999% of the speed of light.
In This Chapter, you will learn how relativity changes our concepts of space and time.
Inertial reference frames are reference frames that move relative to each other with constant velocity.
You’ll learn to work with the positions and times of events.
All the clocks in an inertial reference frame are synchronized.
《 LOOKING BACK Section 4.3 Relative motion
Einstein’s theory of relativity is based on a simple-sounding principle: The laws of physics are the same in all inertial reference frames. This leads to these conclusions:
Light travels at the same speed c in all inertial reference frames.
No object or information can travel faster than the speed of light.
Time is relative. Two reference frames moving relative to each other measure different time intervals between two events.
Time dilation is the idea that moving clocks run slower than clocks at rest.
We’ll examine the famous twin paradox.
Distances are also relative. Two reference frames moving relative to each other find different distances between two events.
Length contraction is the idea that the length of an object is less when the object is moving than when it is at rest.
Einstein’s most famous equation, , says that mass can be transformed into energy, and energy into mass, as long as the total energy is conserved.
Nuclear fission converts mass into energy.
Collisions between high-speed particles create new particles from energy.
Abstract though it may seem, relativity is important in technologies such as medical PET scans (positron-emission tomography) and nuclear energy. And the global GPS system, a technology we use every day, functions only when the signals from precision clocks in orbiting satellites are corrected for relativistic time dilation.
After studying this chapter, you should be able to
36.1 Work with reference frames and Galilean relativity.
36.2 Explain the principle of relativity.
36.3 Work with events and measurements.
36.4 Solve problems about simultaneity.
36.5 Calculate proper time and time dilation.
36.6 Solve relativity problems using the Lorentz transformations.
36.7 Calculate relativistic momentum.
36.8 Calculate relativistic energy and apply mass-energy equivalence.