Meet little Molly Modern. Her family seems to
always be on the move.
Molly's mother takes her to school in the morning
and then takes the train to work. Molly's father, who works nights and
also rides the train, usually gets in somewhat after Mrs. Modern leaves.
Sometimes it happens that Mr. Modern's train passes
Mrs. Modern's train just as they both pass little Molly's school.
Whenever this happens, the Moderns always try to wave at each other as
the trains pass.
But this day, something unusual happens. Lightning
strikes the middle cars of the trains where Mr. and Mrs. Modern are
standing, each going in different directions.
Fortunately, no one is hurt. It's a good thing that
charge resides on the outside of a conductor, and the trains are made of
good conductive steel. The lightning passes through the trains leaving
burn marks where the wheels touch the rails.
Over dinner, the Modern family have much to talk
about.
All three agree on the facts, but they interpret
the facts from different perspectives of time and space. Their
measurements of time and space are relative to each of their frames of
reference according to the structure of space and time first understood
by Albert Einstein a hundred years ago.
Before Einstein, certain features of what the
Modern family must observe and measure were understood in terms of the
old aether theory of light. It was understood that moving clocks must
run slow and that moving measuring sticks must be short in the direction
in which they are going. People had even figured out by precisely how
much clocks must run slow and by how much measuring sticks must be
short.
What Einstein explained in his miracle year of 1905
was that time itself runs slow and space itself is foreshortened in
moving frames of reference. He not only did away with the cumbersome old
aether theory, but he was then able to see how the laws of motion were
affected by this improved understanding of space and time. This led him
to predict his famous relationship between energy and mass, E = mc2
, the equation of the twentieth century.
To understand Einstein's approach to space and
time, we should start by examining the facts observed by the Modern
family from each of their points of view. We will see that each of them
have a profoundly different understanding of what is meant by "at the
same time."