149
At the end of the 19th century,
many believed that physicists
had fully figured out the laws of the
universe. All that was now needed
were more precise measurements.
However, even as a child, Einstein
was not convinced that physics had
been solved. At the age of 16, he
asked himself a question: “What
would I see if I were sitting on a
beam of light?” In the Newtonian
context, young Albert would be
traveling at the speed of light. Light
coming from in front would reach
his eyes at twice the speed of light.
When looking back, he would see
nothing at all. Even though light from
behind was traveling at the speed
of light, it could never catch up.
Annus mirabilis
Einstein’s first job was working as a
patent clerk in Bern, Switzerland. It
afforded him a lot of spare time to
devote to private study. The fruit of
this solitary work was the Annus
Mirabilis (miracle year) of 1905, when
he presented four papers. These
included two linked discoveries:
special relativity and the equivalence
of mass and energy, summed up
by the equation E=mc^2 ( p.150).
Special relativity
Einstein used thought experiments
to develop his ideas, the most
significant of which involved two
men—one on a speeding train and
the other standing on the platform.
In one version (below), inside the
train, Bob shines a flashlight at a
mirror directly above him on the
ceiling. He measures the time the
light takes to travel to the mirror and
back. At the same time, the train is
passing the platform at close to the
speed of light. From the platform,
the stationary observer Pat sees
the light beam shine to the mirror
and back, but in the time it takes
for the beam to travel, the train has
moved, meaning that, rather than
See also: Gravitational theory 66–73 ■ Curves in spacetime 154–55 ■ The birth of the universe ■
Dark energy 298–303 ■ Gravitational waves 328–31
ATOMS, STARS, AND GALAXIES
Inside the speeding
train, Bob shines a
light beam directly
up and down. Bob
measures the time it
takes for the light to be
reflected back to him as
the distance straight up
and down divided by c
(the speed of light).
traveling straight up and down, the
beam travels diagonally. To Pat on
the platform the light beam has
traveled farther, so, since light
always travels at the same speed,
more time must have passed.
Einstein’s explanation for
this took an enormous leap of
imagination, which became
the basis of special relativity.
Speed is a measure of units ❯❯
On the platform,
Pat observes the beam
traveling diagonally.
It is still traveling at
the same speed c, so
more time must have
passed than for Bob as
the light has traveled
a longer distance.
Pat, stationary observer
If you can’t explain it to
a six year old, you don’t
understand it yourself.
Albert Einstein