A Big Slice Of Pi

Discussion in 'Physics & Math' started by goofyfish, Dec 9, 2002.

  1. blobrana Registered Senior Member

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    PI

    Pi as far as i know is calculated mathematically using a flat geometry.

    If there was a purpose to all this then it is to measure the real number of Pi in our universe.
    If we were to live in a small universe , with curved space , then the calculation of Pi will differ from theory.

    But we live in a flat universe, by current thinking (10power60); but how flat?
     
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  3. chroot Crackpot killer Registered Senior Member

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    Pi is defined to be the ratio between a circle's circumference and radius, in Euclidean space.

    - Warren
     
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  5. On Radioactive Waves lost in the continuum Registered Senior Member

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    how so? it has been proved irrational , and calculated well beyond any degree of accuracy needed.
     
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  7. blobrana Registered Senior Member

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    If we were to measure the real value of Pi in our universe, using a very big circle , and it was found to be 3.14 then we could say that space-time was curved; And that we live in a balloon shaped universe.
     
  8. On Radioactive Waves lost in the continuum Registered Senior Member

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    pi is the same ratio for a big circle as small one
     
  9. lethe Registered Senior Member

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    Re: PI


    Noone calculates the "real value of Pi in our universe". first of all, that is an oxymoron. Pi is defined to be the ratio of the circumference and the diameter of a hypothetical circle in a hypothetical euclidean space.

    the calculations that these people have done have nothing to do with the geometry of our universe. they will never calculate a deviation from pi due to different geometry, because they are calculating pi in euclidean geometry.

    and as far as deviations from euclidean geometry in the real universe go, calculating the ratio of a real circle and its real diameter would be a way to measure this deviation, albeit a rather ackward one. but mathematicians don t do such measurements; cosmologists do, by looking in their telescopes. and you would never call that ratio "pi".

    but yes, if someone were to measure the ratio of the circumference and the diameter of a circle in our real universe, and found that it were different from pi, you could say that we lived in a universe with a noneuclidean geomtry. just please don t call that ratio pi.
     

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