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Pi - Clarification

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Your Text: Insert Slimies » Insert UBB Code » Close Last Tag \| All Tags UBB Help	I imagine it would be possible to describe a spiral of sorts, by synchronising transverse frequencies of a propogated wave (unpolarised light, for instance)... but we would have to assume that the oscillations are perfect and unvarying, and ignore the fact that waves/particles are only really a representation of various aspects and effects that aid in our understanding; utilities to aid methodology. Can a vibration in space-time really describe a circle? I read somewhere that an electron whizzing around a cyclotron could be considered to describe a perfect circle (on a page that also mentions rainbows, oddly enough). Whether this would bear-up under the closest examination is the question; does perfection have a tolerance, and how many planck-lengths variation could be tolerated in that path before it is no longer perfect? I assume a cyclotron has to have astoundingly fine tolerances to ensure any probability of an intentional collision between particles. On a serious note - that last example strikes me as being closest to a perfect circle! Extrusion into the fourth dimension allows us to envisage a circle of infinite points; a single electron describing a (near perfect, perhaps) circular path, at any given unit of time occupies a 'point' on that path, and as time is arguably of infinite resolution, the number of 'points' describing the circle are functionally infinite! Electrons (all leptons, in fact) are actually considered to be point-like; they have an effective size of nil. Again, this could be considered a methodological eccentricity (as the true nature of leptons is [small]probably[/small] unimaginable; 'waves and particles' are functionally appropriate), but would theoretically confirm your assertion, WS, that 'points' exist in the real world! :) Out of all this babble, back-tracking and self-contradiction, the only answer I can realistically conclude is that a perfect circle can exist only if the definition and context are adjusted appropriately. Mathematically it exists and this is not debatable, but beyond that, we get into the realms of theory, variable tolerances, finite numbers, and representative abstracts and devices. I'm sure this is all relevant to Pi, and that it clears up the original question completely! (lol) [small](Edited by [url=http://www.ozoneasylum.com/user/4663]White Hawk[/url] on 06-02-2009 14:43)[/small] Loading...
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