Heat is not s thin in it self, it is energy transfer in a thermodynamic system.
What you might call heat is infare radiation, ie light in a lower frequency then we can see. It transfer energy to you when it hit you just like visible light.
All matter warmer then absolutely zero will emit thermal radiation, that is electromagnetic radiation that includes or and visible light. Which wavelengths are emmited depen on the temperature
If you have light from something that hits something you have energy transfer ie heat. Even if the light is just emmited and travel out into space you transfer energy ie heat.
So you can’t have light and not heat because light transmitts energy
You can have visible light without IR light, a led will primary radiate är a narrow wavelength band. But there is losses that heat up the light source and it emmit thermal radiation, at temperatures we have in earth that will include it radiation
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