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4-D Coordinate Plane

  1. Jun 12, 2003 #1
    Is their a 4-D coordinate plane?
     
  2. jcsd
  3. Jun 12, 2003 #2
    yes there is. they are (x,y,z,t) t=time.

    suppose you are measuring a point on in a room. it can be x from one wall, y from another, and z from the floor. but what if one were to measure an event that took place at a point in this room? to do so you must introduce t.
     
  4. Jun 13, 2003 #3

    HallsofIvy

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    Since you are talking "coordinate systems" which are mathematical constructs, of course there are. If, for example, one were working on a problem involving all spheres, which can be identified by their center and radius, it would make sense to use a 4-dimensional space: 3 coordinates for the center and the fourth for radius.

    It's not uncommon for physicists working in statistical mechanics to use an "n-dimensional" space where n is some huge number: 3 times the number of particles involved.

    And, of course, "functional analysis"- used in theory of differential equations- regularly works with infinite dimensional spaces.
     
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