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Radiant heat is subject to the weird physics of electromagnetic radiation like light and has dual wave and particle properties. In this case the answer would be "yes" (it travels in a straight line as if by particle AND as a wave)

In the case of conduction, it moves according to the structure of the material that it is moving through. The heat is transferred as molecules of higher kinetic energy collide with molecules of lower kinetic energy. On a macroscopic level this looks like the heat moving in a straight line - although if the source of sink for the heat is not a flat surface, the isotherms - the imaginary shells or surfaces that would be defined if you graphed in three dimensions where the temperature is the same - can look a lot like waves.

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Why does heat travel in straight lines?

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