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Why are there only 3 spatial dimensions????

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Raavin
Micro Wave


Australia
156 Posts
Posted - 02/28/2003 :  04:08:28  Show Profile Send a private Message
I was having problems in another thread, trying to work out why, at relativistic speeds, the 'accelerating' body lost time and the inertial frame didn't. See the 'relativistic bubble' thread to see what I mean. I discovered a site that, I think, gives me the answer. An inertial frame experiences gravity/time distortion at a a rate which dies out in inverse square proportions as we move away from the source (say between your feet and the top of your head) while the 'accelerating' frame experiences an even distribution. Does this sound right??

Anyway, assuming it is, I started to think about dimensionality and the effects. Lets say we have a true two dimensional object (no thickness) which is on the surface of the earth, curved so it experiences equal gravitation all the way across. I know it has 3 dimensions if it's curved but it's the no thinkness bit that matters. From the shape's point of view, the gravitational effect is evenly distributed, so if a ship accelerated away at 1g, they would both experience the same time dilation and their respective times(clock times, not syncronisation) would equalise when they met again. Thinking about it some more, would a 2d object be analogous to something accelerating away from you at c and not be able to experience any time at all???

That brings us to the topic, why 3d. Looking at the first idea (silly as it may be) one thing might be that we need more than 2d to experience time at all. Another thought I had was about hyper dimensional objects. How would a hyper dimensional person experiance a hyperdimensional object. Just say you were a hyperperson and were holding a hypercube, which in 3d would have 8 points, if you were to count the points would you still get 8. I suppose what I'm saying is, looking from a 3d POV we would say there were more points than 8 but a hyperperson might actually count more than 1 point at a time because of their hyperdimensionality. Perhaps 3d is all the we could ever process.

Raavin :P

'In this house, we obey the laws of thermodynamics!!' Homer Simpson

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