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Einstein’s Special Relativity
By Andrew Zimmerman Jones, Daniel Robbins
In 1905, Albert Einstein published the theory of special relativity, which explains how to
interpret motion between different inertial frames of reference — that is, places that are moving
at constant speeds relative to each other.
Einstein explained that when two objects are moving at a constant speed as the relative motion
between the two objects, instead of appealing to the ether as an absolute frame of reference that
defined what was going on. If you and some astronaut, Amber, are moving in different
spaceships and want to compare your observations, all that matters is how fast you and Amber
are moving with respect to each othe
Einstein’s theory was based on two key principles:
 The principle of relativity: The laws of physics don’t change, even for objects moving
in inertial (constant speed) frames of reference.
ď‚· The principle of the speedof light: The speed of light is the same for all observers,
regardless of their motion relative to the light source. (Physicists write this speed using
the symbol c.)
The genius of Einstein’s discoveries is that he looked at the experiments and assumed the
findings were true. This was the exact opposite of what other physicists seemed to be doing.
Instead of assuming the theory was correct and that the experiments failed, he assumed that the
experiments were correct and the theory had failed.
In the latter part of the 19th century, physicists were searching for the mysterious thing called
ether — the medium they believed existed for light waves to wave through. The belief in ether
had caused a mess of things, in Einstein’s
view, by introducing a medium that caused certain laws of physics to work differently depending
on how the observer moved relative to the ether. Einstein just removed the ether entirely and
assumed that the laws of physics, including the speed of light, worked the same regardless of
how you were moving — exactly as experiments and mathematics showed them to be!
Unifying space and time
Einstein’s theory of special relativity created a fundamental link between space and time. The
universe can be viewed as having three space dimensions — up/down, left/right,
forward/backward — and one time dimension. This 4-dimensional space is referred to as the
space-time continuum.
If you move fast enough through space, the observations that you make about space and time
differ somewhat from the observations of other people, who are moving at different speeds.
You can picture this for yourself by understanding the thought experiment depicted in this figure.
Imagine that you’re on a spaceship and holding a laser so it shoots a beam of light directly up,
striking a mirror you’ve placed on the ceiling. The light beam then comes back down and strikes
a detector.
(Top) You see a beam of light go up, bounce off the mirror, and come straight down. (Bottom)
Amber sees the beam travel along a diagonal path.
However, the spaceship is traveling at a constant speed of half the speed of light (0.5c, as
physicists would write it). According to Einstein, this makes no difference to you — you can’t
even tell that you’re moving. However, if astronaut Amber were spying on you, as in the bottom
of the figure, it would be a different story.
Amber would see your beam of light travel upward along a diagonal path, strike the mirror, and
then travel downward along a diagonal path before striking the detector. In other words, you and
Amber would see different paths for the light and, more importantly, those paths aren’t even the
same length. This means that the time the beam takes to go from the laser to the mirror to the
detector must also be different for you and Amber so that you both agree on the speed of light.
This phenomenon is known as time dilation, where the time on a ship moving very quickly
appears to pass slower than on Earth.
As strange as it seems, this example (and many others) demonstrates that in Einstein’s theory of
relativity, space and time are intimately linked together. If you apply Lorentz transformation
equations, they work out so that the speed of light is perfectly consistent for both observers.
Remember
Thisstrange behaviorof space and time isonlyevidentwhenyou’re travelingclose tothe speedof light,
so no one hadeverobserveditbefore.Experimentscarriedoutsince Einstein’sdiscoveryhave
confirmedthatit’strue — time andspace are perceiveddifferently,inpreciselythe wayEinstein
described,forobjectsmovingnearthe speedof light.

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Einstein

  • 1. Einstein’s Special Relativity By Andrew Zimmerman Jones, Daniel Robbins In 1905, Albert Einstein published the theory of special relativity, which explains how to interpret motion between different inertial frames of reference — that is, places that are moving at constant speeds relative to each other. Einstein explained that when two objects are moving at a constant speed as the relative motion between the two objects, instead of appealing to the ether as an absolute frame of reference that defined what was going on. If you and some astronaut, Amber, are moving in different spaceships and want to compare your observations, all that matters is how fast you and Amber are moving with respect to each othe Einstein’s theory was based on two key principles: ď‚· The principle of relativity: The laws of physics don’t change, even for objects moving in inertial (constant speed) frames of reference. ď‚· The principle of the speedof light: The speed of light is the same for all observers, regardless of their motion relative to the light source. (Physicists write this speed using the symbol c.) The genius of Einstein’s discoveries is that he looked at the experiments and assumed the findings were true. This was the exact opposite of what other physicists seemed to be doing. Instead of assuming the theory was correct and that the experiments failed, he assumed that the experiments were correct and the theory had failed. In the latter part of the 19th century, physicists were searching for the mysterious thing called ether — the medium they believed existed for light waves to wave through. The belief in ether had caused a mess of things, in Einstein’s view, by introducing a medium that caused certain laws of physics to work differently depending on how the observer moved relative to the ether. Einstein just removed the ether entirely and assumed that the laws of physics, including the speed of light, worked the same regardless of how you were moving — exactly as experiments and mathematics showed them to be! Unifying space and time Einstein’s theory of special relativity created a fundamental link between space and time. The universe can be viewed as having three space dimensions — up/down, left/right, forward/backward — and one time dimension. This 4-dimensional space is referred to as the space-time continuum.
  • 2. If you move fast enough through space, the observations that you make about space and time differ somewhat from the observations of other people, who are moving at different speeds. You can picture this for yourself by understanding the thought experiment depicted in this figure. Imagine that you’re on a spaceship and holding a laser so it shoots a beam of light directly up, striking a mirror you’ve placed on the ceiling. The light beam then comes back down and strikes a detector. (Top) You see a beam of light go up, bounce off the mirror, and come straight down. (Bottom) Amber sees the beam travel along a diagonal path. However, the spaceship is traveling at a constant speed of half the speed of light (0.5c, as physicists would write it). According to Einstein, this makes no difference to you — you can’t even tell that you’re moving. However, if astronaut Amber were spying on you, as in the bottom of the figure, it would be a different story. Amber would see your beam of light travel upward along a diagonal path, strike the mirror, and then travel downward along a diagonal path before striking the detector. In other words, you and Amber would see different paths for the light and, more importantly, those paths aren’t even the same length. This means that the time the beam takes to go from the laser to the mirror to the detector must also be different for you and Amber so that you both agree on the speed of light. This phenomenon is known as time dilation, where the time on a ship moving very quickly appears to pass slower than on Earth.
  • 3. As strange as it seems, this example (and many others) demonstrates that in Einstein’s theory of relativity, space and time are intimately linked together. If you apply Lorentz transformation equations, they work out so that the speed of light is perfectly consistent for both observers. Remember Thisstrange behaviorof space and time isonlyevidentwhenyou’re travelingclose tothe speedof light, so no one hadeverobserveditbefore.Experimentscarriedoutsince Einstein’sdiscoveryhave confirmedthatit’strue — time andspace are perceiveddifferently,inpreciselythe wayEinstein described,forobjectsmovingnearthe speedof light.