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I haven't studied this stuff, and maybe I'm just plain stupid, but why exactly is the speed of light so magical? It's just a certain speed, I fail to see how at some time, way in the future we couldn't propel something that fast. All this theory stuff about it being impossible to go that fast makes no sense to me.
Why would mega speed change the shape/size/mass or whatever of an object? It's just a speed, if something is strong enough to handle the forces of the acceleration and other similar forces acting on it why would these other things happen? Sounds to me like some super smart guy pulling stuff out of his ass with no real idea or proof of such things. But then again I don't put much faith into very many scientific theories...
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That really smart guy was Einstein and he pulled some pretty cool stuff out of his ass. Basically, the Theory of Relativity is accepted as a theory(about as accepted as it can get in science-an unproven idea is a hypothesis) because it made sense when scrutinized and matched scientific experimentation exactly. One way to understand the time dilatation is to consider what happens to a beam of light in a moving vehicle. From an observer outside the vehicle the beam of light has to go slightly further than it goes for the observer inside the vehicle. Hence, it takes longer for the outside observer.
To understand this you must understand what is "majical" about lightspeed: Lightspeed is the one great constant in the universe against which all else is compared. Lightspeed is *constant* and unchanging. It IS time in a sense. That's what Einstein realized from other earlier experiments that allowed him to come up with Relativity.
Due to the idea 2 paragraphs above, the length of an object from the two reference frames is different. Other dimensions of an object do not change, ie depth and height wouldn't change-only the plane of movement perpendicularly.
Mass increases with speed due to conservation of momentum. Einstein conceived of this while considering two high speed objects colliding with the constraints noted above.
These were thought experiments considered by Einstein based on info gathered from earlier experimenters on light and its speed. He followed this by writing simple yet elegant equations to describe what he thought would happen with regards to length, time and mass. They are very similar equations and have been shown to match experiment. Time dilatation, which matched his equation exactly, between a staionary atomic clock(cesium) and one in motion around the earth. Another example is the acceleration of an electron in a particle accelerator. They were able to achieve a speed high enough to increase the mass of the electron 40,000 times. This was very close to lightspeed. There are many other examples.
At low, "nonrelativistic speeds" thes changes are incredibly small and inconsequential. As speed increases these changes increase exponentially and as we get close to lightspeed their graphs(ie values) approach infinity.
You really have to grasp the lightspeed IS time thing to understand it. I don't claim to fully understand it BTW. My wife always tells me a long winded SOB when I explain anything.