Special Relativity for Particles

why particles move near light speed

Picture pushing a child on a swing. A gentle push speeds them up a little; a hard push, a lot more. In everyday life, more push always means more speed, with no apparent ceiling. But nature does have a ceiling: the speed of light, written c, about 300,000 kilometres every second. The closer anything with mass gets to that wall, the harder it pushes back, so you can shove energy in forever and still never quite reach c. Particle physicists work right up against this wall almost all the time.

Here is why their particles get so close. The particles studied — electrons, protons, the fragments of collisions — are fantastically light, so even a modest jolt of energy carries them to a large fraction of c. In a machine like the Large Hadron Collider, a proton is given so much energy that it travels at about 99.9999991 percent of light speed. Crucially, beyond that point extra energy barely raises the speed at all; instead it piles up as energy and momentum. So 'how fast' becomes a dull question, and 'how much energy' becomes the useful one. A particle moving this close to c is called relativistic, or ultrarelativistic when it is extremely close.

This is not a curiosity; it is the daily working condition of the field. Because the particles are nearly at light speed, ordinary Newtonian formulas for energy and momentum simply fail, and the corrections of special relativity become the basic bookkeeping. Time dilation stretches the lifetimes of fast-decaying particles enough that they survive to reach detectors; the energy poured in is what conjures brand-new particles into existence. Almost every other idea in this part of the toolkit exists to handle motion this fast accurately.

A 7 TeV proton at the LHC moves at about 0.999999991 c — only about 3 metres per second slower than light, even though its energy is thousands of times its rest energy.

Near light speed, huge increases in energy buy almost no increase in speed — energy is the meaningful number, not velocity.

A massive particle can get arbitrarily close to c but never reaches it; only truly massless particles, like the photon, travel exactly at c.

Also called
ultrarelativistic particles相对论性粒子超相对论粒子