# A limit maximum temperature ?

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

## Answers and Replies

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

$$(E_c+mc^2)^2 = (pc)^2 + (mc^2)^2$$

Where $$p = \gamma m v$$

$$\gamma = \frac{1}{1-(v/c)^2}$$

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.

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

malawi_glenn
Science Advisor
Homework Helper
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.

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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?

malawi_glenn
Science Advisor
Homework Helper
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..

Ok, im going to check/or/post there

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