Can an omnipotent being create a rock too heavy for him to lift up? If a hotel has an infinite number of rooms, but every room is filled, can it take in more guests? What are your thoughts? Feel free to add your own paradoxes as well.
I think nothing can go faster then the speed of light, it turns into matter. If I banged Lady Gaga and no one was around to watch it, did i really bang her?
First of all, you couldn't reach out to the light switch. Both originated in the early days of land planning for the automobile. 'Parkway' was a term for a recreational highway corridor. The idea was developed in the '30's as work projects for the WPA and NIRA and is best exemplified by the the Blue Ridge Parkway Project though the Blue Ridge Mountains. The 'driveway' or 'drive-away' became a standard feature of home design as suburban living and commuting expanded in the post war era of personal automobile ownership. kinda ruins the joke though.
The lights will turn on, and it will illuminate whatever is in front of you until it has sped by. I took a special relativity course last year, so here's an interesting question. You are travelling at the speed of light, and you hold a mirror at arms length. Will you see anything?
The lights are already traveling at the speed of light, so no photons could escape forward. It might illuminate any thing at 90 degrees to the light source because it would require no forward vector. On the mirror, light could not catch up to mirror to be reflected. If you were holding the light bulb up, could it bee seen from behind? The light being emitted is moving at the speed of light away from you and toward you. Wouldn't the net effect on the photons be stationary?
From what I was taught, in fact if you hold a mirror in front of you, while you are travelling at the speed of light, you'll see your reflection. This is because a) speed of light is independent of how fast you yourself are going, and b) both you AND the mirror are in the same reference frame. Imagine this instead, you are in a train, that's completely stationary. The whole universe is going past you at the speed of light. What would stop you from seeing the rest of the train? Just because everything else, RELATIVE to you is going at the speed of light does not mean that the train itself is going away from you at the speed of light. To you, the universe is in a different reference frame, while you (and the train) are in the same reference frame. Hence, you will see the train, and if you hold a mirror, you will see your own reflection.
Anyway, another SR one: The twins paradox A pair of twins live on planet earth. One day, one twin jumps in a rocket and speeds off at 60% speed of light to a distant sun, then returns to Earth. The stay-at-home twin is now considerably older than twin who has left and returned. But why isn't it the other way round? Why can't we consider it to be the earth leaving at 0.6c, then returning to the space twin? For an actual paradox: In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. Assuming a constant speed for all runners, if a runner A allows runner B to be 100 metres ahead, and A runs at X speed and B runs at Y (where X > Y). By the time A has reached 100 m, B would've travelled a bit further, so A hasn't caught up. By the time A has reached where B was, B would've travelled further again, and so on and so forth. Thus, even though A is faster than B, if B is given a head start, A will never catch up. Paradox?
Zeno's Paradox (well one of them): Suppose Homer wants to catch a stationary bus. Before he can get there, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on. Travelling in this fashion, will he ever reach the bus?
