Quantum Mechanics, Relativity & The Uncertainty Principle
Topic: Physics
Well this year is the 100 anniversary of the publication of
Einstein's two greatest ideas ...
The photoelectric effect, where he described how photons are energy in
quantum (little packet) form.
And
relativity, which states that
the speed of light is a constant irrespective of your frame of reference. A big consequence of this assumption is that
time, size and mass vary with each frame of reference.
Besides atoms and photons, one outcome of quantum theory (aka quantum mechanics) is the uncertainty principal (see
Heisenberg), which sets a limit to the accuracy of our measurements. Bellow this limit our knowledge of the position and momentum of a single entity is defined by probability. In fact the act of measuring position obliterates our knowledge of momentum and vice versa.
This interference of the observer was very disconcerting to Einstein. He spent a great deal of his career trying to disprove quantum mechanics. At an annual conference of leading physicist, Einstein would challenge the proponents of quantum mechanics with a problem that would potentially reveal a flaw in the theory.
Bohr and company each year solved the problem except once in 1935. This was the famous
Einstein-Podolsky-Rosen (EPR) paradox.

Here's an abridged version of their thought experiment ...
Imagine there is one particle that decays into two daughter particles. These two daughter particles must have opposite parameters (spin state, velocity etc ...). Now the two particles are traveling in opposite directions at the speed of light. If you were to measure one variable (say the spin in the X axis) by symmetry the second particle must have the opposite spin in that axis. Now the tricky part. If one was to measure another variable of the second particle (say the y axis spin) you would know two variables (in this example the x and y spins) for each particle. This violates one formulation of the uncertainty principle.
Years later the experiment was performed
and guess what? You can never measure the properties of the second particle! This phenomena, known as entanglement, is one of the weirdest aspects of reality ever documented.
The act of measuring one particle can affect whether a second "entangled" particle can be measured.Nice article in today's NYTimes by Brian Green on Einstein and the uncertainty principle.Other nice descriptions of the EPR experiment
Link1 ,
Link2.
Posted by madscientist39
at 9:38 AM EDT
Updated: Tuesday, 3 May 2005 5:13 PM EDT