Friday, December 2, 2011

Best way to explain the Theory of Relativity?

We have an assignment (we don't have to do it, but I think it's interesting), we have to explain the Theory of Relativity (that's all we were asked to do, but aren't there two?). I was wondering what's the best way to explain it? It seems rather confusing.|||Consider the following:





Elaborate on the question of "how fast are you moving right now?". Why is it important to know who's asking?





You wake up on a train which is moving on a straight/extremely smooth track. All windows are closed, you are alone in the room, and the furniture and walls do not give a front/back clue. Can you tell which direction the train moves? Is there any experiment you can do to find these answers?





Can we know how fast we are moving relative to the ultimate reference. This ultimate reference is often referred to as an aether (pronounced eeth-er) when it was first theorized. Is there such thing as the Aether?





We know the speed of light based on Maxwell's equations. If we were traveling at a significant fraction of lightspeed wrt the Aether, would light work the same way in all directions? If you are swimming in a river which flows at 0.5 mph and you can swim 1 mph, does it take longer to swim 1 mile across the river and back, or 1 mile up the river and back (landing at the same shore location as you started)? How does this relate to the Michelson-Morley experiment? Did they find that light needed to move relative to an Aether, which moves relative to us? No, they seemed to find that the Aether is stationary.





Do a search on Einstein's Light clock. This is usually the best way to begin in relativity.





Yes, there are two theories of relativity. There is special relativity, which deals with the special case of objects of interest moving at constant velocity. There is also general relativity, which is much more complex. General relativity deals with relativity effects in the case of accelerating objects.|||Yes, the "Theory of Relativity" sounds vague(because yes, there's two theories of relativity) or maybe your assignment might just be asking you to explain both theories. If that is the case then we'll have "Special Relativity" and "General Relativity". What's the difference between the two?





Special Relativity only considers the study of objects traveling close to the speed of light in terms of ONLY its kinematics. However, General Relativity not only considers the kinematics of objects traveling at or close to the speed of light but also considers the FORCES that influence such motion. Crucial topics covered in Special Relativity include time dilation, length contraction, Lorentz transformations, and simultaneity. By and large, Special Relativity isn't mathematically challeneging, and I personally think high school students have enough skills at that point to learn about Special Relativity.





General Relativity delves into the study of things like gravitation time dilation, black holes, gravitational lensing and cosmology. And unlike Special Relativity, General Relativity is actually very mathematically demanding, and students don't really get a chance to study full courses in it until they reach at least their 4th year in university or in graduate school because you need to have a solid background in many upper year calculus, differential equations and differential geometry courses.





Anyways, I hope I shed a bit of light into what the Theory of Relativity involves.

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