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I Absolute Newtonian time. Independence of space and time

  1. Mar 26, 2017 #1
    Hi folks,

    Tell me please why in classical Newtonian physics one can say that the space and time are independent? But we have equations of motion which clearly show this dependence (x=Vt; x=x0+1/2at^2+v0t).

    Thank you.
     
  2. jcsd
  3. Mar 26, 2017 #2

    PeroK

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    That's not dependence between time and space. That's a dependence between time and the position of a particle that is moving at a specific velocity.
     
  4. Mar 26, 2017 #3
    There is no "t=Ax" term in Newtonian relativity, so this means that time is only coupled to space in one regard (the one that you mention). SR puts this term in, so is really a generalization of Galilean relativity. The term it puts in is responsible for differences in simultaneity between observers.
     
  5. Mar 26, 2017 #4

    stevendaryl

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    Two facts about Newtonian spacetime that are both different from the spacetime of Special Relativity are:
    1. The time between two events is the same in every reference system.
    2. If two events are simultaneous, then the distance between them is the same in every reference frame.
     
  6. Mar 28, 2017 #5

    haushofer

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    If you have a Cartesian frame {xy}, the x and y-directions are linear independent. But this doesn't mean we cannot introduce functions y(x), i.e. curves describing a relation between x and y.
     
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