Is There a max temperature? My question about it.

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    Max Temperature
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Discussion Overview

The discussion revolves around the concept of maximum temperature in relation to particle speed and relativistic effects. Participants explore theoretical limits of temperature, its relationship with kinetic energy, and implications for particle physics, including ionization and fusion processes. The scope includes theoretical considerations and speculative reasoning.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant asserts that temperature is infinite and questions if there is a maximum temperature due to the relationship between temperature and particle speed, referencing a specific equation.
  • Another participant suggests that as velocity approaches the speed of light, mass approaches infinity, leading to the idea of infinite temperature, but emphasizes this is speculative.
  • A different viewpoint discusses the progression from high temperatures to ionization and plasma formation, suggesting that particle collisions could lead to fusion and further energy production without a clear upper limit to temperature.
  • One participant recommends checking the concept of relativistic mass and the Lorentz factor to better understand the relationship between speed and temperature.
  • Another participant posits that the highest temperature occurred during the Big Bang, implying a finite maximum temperature, but acknowledges the theoretical possibility of limitless temperature.
  • It is noted that very high temperatures are typically associated with radiation rather than matter, which may not align with the formulas being discussed.

Areas of Agreement / Disagreement

Participants express differing views on whether a maximum temperature exists, with some suggesting it is theoretically limitless while others propose a finite maximum based on cosmological events. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Some participants reference relativistic effects and statistical physics, indicating a need for further exploration of these concepts. There are mentions of specific equations and conditions that may not apply universally across different states of matter.

Who May Find This Useful

This discussion may be of interest to those exploring theoretical physics, particularly in the context of thermodynamics, particle physics, and cosmology.

EU_Raider
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Through school I have been told That temperature has no limit, that it is infinite.

I am also told that a particle cannot exceed the speed of light.

Yet again Temperature has an effect on the speed of a particle therefore there must be a maximum temperature otherwise we would exceed the speed of light.

Using the Equation V^2=3RT/Molar Mass taking R as 9.1x10^-7 also taking the particle proton(or Neutron) for the Molar Mass

I got an answer but I was wondering is my statement correct or is there some laws or rules which I am not aware of?
 
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Since the temperature(of an ideal gas at least) is proportional to the mean kinetic energy of its molecules(as in, it doesn't make them go faster - the whole idea of temperature is just a way of saying how energetic they are, on average), and kinetic energy is a product of velocity and mass, then I suppose as the velocity approaches c, the mass approaches infinity, netting infinite temperature.

It's just a guess, though. Don't take my word for it.
 
As your temperature increase you would eventually ionize the material and turn it into a plasma. Beyond that you would get particle collision so intense that particle collisions would start to undergo fusion reactions. Beyond that and the collisions would be akin to a particle collider, and would start to produce showers of particles created from the kinetic energy of each parent particle. We don't know of an end to this so you could probably keep going on forever. Keep in mind that while the speed of light is not reachable, you CAN continue to increase your average kinetic energy forever to any value theoretically. You just don't ever reach c.
 
You may want to check how relativistic mass depends on the speed, that will answer your question. Google for Lorentz factor.
 
EU_Raider said:
Through school I have been told That temperature has no limit, that it is infinite.

I am also told that a particle cannot exceed the speed of light.

Yet again Temperature has an effect on the speed of a particle therefore there must be a maximum temperature otherwise we would exceed the speed of light.

Using the Equation V^2=3RT/Molar Mass taking R as 9.1x10^-7 also taking the particle proton(or Neutron) for the Molar Mass

I got an answer but I was wondering is my statement correct or is there some laws or rules which I am not aware of?

There has been some work done on relativistic gases in statistical physics, but my knowledge of the subject is rusty. I'll read up on it and see if I can get back to you. :)
 
I think the highest temperature was when the big bang happened, since there is finite energy in the universe, there is a finite temperature that there ever was, but I guess theoretically there is no limit to temperature?
 
Very high temperature is usually mostly in radiation, not matter, to which the formula used does not apply.
 

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