Understanding Hagedorn Temperature: Can Light Speed Up?

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The discussion centers on the concept of Hagedorn temperature and whether light can speed up in extremely high temperatures. It raises the question of light's behavior at 10^30 degrees Kelvin, the highest temperature theorized in nature. Participants assert that while light can slow down in certain mediums, increasing temperature does not affect its fundamental speed. The consensus is that the speed of light remains constant regardless of temperature changes. Overall, the speed of light is considered a universal constant that cannot be altered by heating.
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Hey guys, I was just wondering. If light can slow down at the temperature of 0 degrees Kelvin, isn't it possible for light to speed up if it was in a medium that had a temperature of 10^30 degrees Kelvin, which is roughly the highest temperature attainable in nature.

Your thoughts on this please.
 
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The speed of light is the speed of light, I am afraid. Heating it doesn't make it faster.
 

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