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A limit maximum temperature ?

  1. Jun 8, 2008 #1

    JPC

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    Hi

    I was wondering if there is a maximum temperature

    As i understand temperature : Energy
    With cinetic energy creates movement that creates particle shocks, which liberates energy, as i understand it.

    And since Ec = 0.5*m*v², and that v <= c, there should be a maximum particle Ec we could reach ?

    If my understanding is completly wrong tell me please
    And, i am also curious to know , if any reasonable theories have the idea of a maximum temperature
     
  2. jcsd
  3. Jun 9, 2008 #2

    malawi_glenn

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    sorry, but Ec = 0.5*m*v² only holds for v << c.. the general expression is:

    [tex] (E_c+mc^2)^2 = (pc)^2 + (mc^2)^2 [/tex]

    Where [tex] p = \gamma m v [/tex]

    [tex] \gamma = \frac{1}{1-(v/c)^2} [/tex]

    Now as v goes to c, E_c goes to infinity.

    The maximum kinetic energy must be bounded by the total energy of the universe for sure.
     
  4. Jun 9, 2008 #3

    JPC

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    Oh, since there is a more general expression, it clarifies everything.
    But what is the logic behind the first question u gave me ?

    And, is there only one universe ?
    i thought there could be an infinite number of universes, forming some sort of particles; which themselves would form other sorts of particles; ect
     
  5. Jun 9, 2008 #4

    malawi_glenn

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    This equation comes from special theory of relativity (Einstein 1905)

    Total energy squared = momentum squared + rest mass squared

    Total energy = kinetic energy + rest mass (I have assumed no potential energy here, i.e a free particle)


    And what is the relevance of number of universes? (this is first of all Nuclear- and particle physics subforum. Secondly, it is unrelated to your question and should have a thread for itself)
    btw: Infinite number of universes don't make sense.. infinity is a mathematical concept, not an entity.
     
    Last edited: Jun 9, 2008
  6. Jun 9, 2008 #5

    JPC

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    ok now i see the logic of the equation, thank you

    Should i make a new thread for the second question ? in what section ?
    And, i thought space was infinite, so why not the number of particles too?
     
  7. Jun 9, 2008 #6

    malawi_glenn

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    first, you can search for old threads, it is a quite common asked question. If you dont find, try cosmology forum.

    (our) universe is not infinite, it is finite but unlimited. Compare with the surface of a sphere in 3dimensions. It has a finite area, but it has no boundaries. I think the number of electrons in the universe is something like 10^87 or something..
     
  8. Jun 9, 2008 #7

    JPC

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    Ok, im going to check/or/post there
     
    Last edited: Jun 9, 2008
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