The color temperature refers to black body radiation spectrums. At too low a temperature, it would just be a dim red (or eventually just invisible infrared). At too high a temperature, it’s basically just white already, it might shift to being slightly blue but not that much.
2000K - 6500K is about the limit of what black body spectrums could reasonably be converted to RGB colors.
Here’s another source talking specifically about light bulbs with some comparisons:
https://www.e-conolight.com/blog/post/warm-or-neutral-which-is-the-white-for-you