Chapter 5
Relativistic Quantum Mechanics · Chapter 5

Antimatter Is Real

August 1932: a cosmic-ray track in Carl Anderson's cloud chamber curves like an electron – but is travelling the wrong way to be one. One photograph, one slab of lead, and one inescapable conclusion later, Dirac's paper particle was real. Within a single lifetime it was routine hospital equipment.

In 1931 the positron was a mark on paper – a hole in an equation, an argument. A year later it left a physical trail in a real instrument in Pasadena, and the argument became a particle you could photograph. This chapter is that story: how a single curved line in a cloud chamber, read carefully enough, forced the world to accept a mirror form of matter.

And then it is the stranger sequel – how that exotic, theoretical prediction turned into something ordinary. Antimatter is not confined to physics papers. It is inside hospital scanners, it drifts out of bananas, and it is made and bottled at CERN. The boldest bet in the whole course, that an equation could conjure a new particle from pure consistency, pays off here in a photograph and then in your daily life.

5.1The photograph

A cloud chamber turns an invisible particle into a visible trail: as a charged particle races through, it leaves a thread of tiny droplets you can photograph, and a magnetic field bends that thread into a curve. How tightly it curves reveals the particle’s momentum; how thick the droplet trail is reveals how fast and how heavy it is. But a photograph is frozen in time. It shows a curve, not a direction of travel – and “a negative charge heading up” leaves exactly the same curve as “a positive charge heading down.”

Anderson broke that tie with a simple, brilliant trick: a plate of lead laid across the chamber. Punching through the lead costs the particle energy, so it emerges moving more slowly and curls more tightly on the far side. Whichever half of the track is tighter is the side the particle reached after the lead – and that fixes the direction of travel, and with it the sign of the charge. The figure lets you play Anderson: try each suspect over the real ghost track and watch the verdict.

Cloud-chamber forensics
FIG. 5.1
Hypothesis
the white arc is the 1932 photograph. Try each suspect: only one bends the right way and tightens in the right half. Turn the lead plate off to see why Anderson needed it – without it, two different stories fit the same picture.
Anderson's forensics, replayed. A charged particle in a magnetic field curves with radius r = p/qB, so curvature reads momentum – but a photograph shows an arc, not a direction of travel, and 'negative charge going down' curves exactly like 'positive charge going up'. The 6 mm lead plate breaks the tie: crossing it costs momentum, the arc downstream is tighter, and whichever half is tighter is where the particle was going. The photograph tightens above: upward, positive, electron-light. Dirac's cheque, cashed. (Anderson's published track: 63 MeV/c in a 1.5 T field.)

5.2Reading the curve

The detective work is arithmetic anyone can follow. The tightness of the curve fixes the momentum; the thickness of the droplet trail fixes the speed. Put the two together and you can eliminate the suspects one at a time. A proton would have left a short, fat, heavily-ionised stub, not this long thin thread – ruled out. A downward-going electron would have curled the wrong side of the lead – ruled out. When every wrong answer has been struck off, the one that remains has the electron’s mass and a positive charge. That is Dirac’s positron, and there is nothing else left for it to be.

5.3Antimatter in your life

Antimatter sounds like pure science fiction, yet you have very likely stood beside it – or lain inside a machine built entirely on it. A PET scanner runs on antimatter from end to end. The patient is given a mild tracer that emits positrons; each positron travels a millimetre or two, meets an ordinary electron, and the two annihilate into a pair of photons that fly off in exactly opposite directions. A ring of detectors catches both, draws the line between them, and from millions of such lines reconstructs a three-dimensional image of the living body.

It is humbler than that, even. A banana is faintly radioactive, and every so often it flings out a positron. Antimatter is not an exotic abstraction locked in a laboratory; it is medical imaging and it is fruit. The one genuinely science-fiction question left is a cosmic one: the newborn universe should have made matter and antimatter in equal amounts, and yet everything around us is matter. Where the antimatter went, nobody knows.

5.4Where this leaves us

Dirac’s equation has now run up a perfect scorecard: the electron’s spin, its doubled magnetism, the fine detail of atomic spectra, and a whole mirror world of antimatter – all predicted, all confirmed. It looks like total victory. And yet the victory hides the seed of its own undoing. This was meant to be the equation for a single electron. But the very act that proved it right – making a positron by knocking an electron out of the sea – changes how many particles there are. A theory of one particle has just caught itself making two. The final chapter follows that contradiction to the end.

Next chapter
Chapter 6 – One Particle Is Never Alone
Squeeze one electron below its Compton wavelength and the measurement mints pairs. The one-particle theory refutes itself – and names its successor.
Chapter 6 of 7