Radiation
Radiation is heat transfer by electromagnetic waves, such as infrared light, which travel through empty space with no matter needed.
Definition
Radiation is heat that travels as invisible light waves, mostly infrared at everyday temperatures, and unlike conduction and convection it needs no medium, so it can cross a vacuum, which is how the Sun's warmth reaches Earth across empty space. All objects emit radiation; hotter objects emit more and at shorter wavelengths, dark and dull surfaces absorb and emit it well, and shiny, light surfaces reflect it. A surface at absolute temperature $T$ radiates power $P = \sigma \epsilon A T^4$ (the Stefan-Boltzmann law), where $\sigma = 5.67 \times 10^{-8}\ \text{W/(m}^2\cdot\text{K}^4)$ and $\epsilon$ is emissivity; the peak wavelength follows Wien's law, $\lambda_{\max} T = 2.90 \times 10^{-3}\ \text{m}\cdot\text{K}$, and net exchange with the surroundings is $P_{\text{net}} = \sigma \epsilon A (T^4 - T_0^4)$.
Example
Stand near a campfire and your face feels warm even though the air between you and the fire is not hot, because that warmth arrived by radiation; sunlight delivers about $1{,}000\ \text{W}$ to each square meter of ground, so a $2\ \text{m}^2$ dark blanket left in the sun absorbs roughly $1{,}800\ \text{W}$ while a white one of the same size reflects most of it and stays cooler. Human skin at $306\ \text{K}$ with $\epsilon \approx 0.97$ and area $1.7\ \text{m}^2$ in a $293\ \text{K}$ room radiates a net $P = 5.67 \times 10^{-8} \times 0.97 \times 1.7 \times (306^4 - 293^4) \approx 130\ \text{W}$, with the peak wavelength at $\lambda = 2.90 \times 10^{-3}/306 \approx 9.5\ \mu\text{m}$, deep infrared.
Key Insight
Everything warm glows with invisible infrared light, including you, which is what night-vision cameras see, and a thermos keeps drinks hot by blocking all three heat-transfer methods at once: a vacuum stops conduction and convection while a mirrored inner surface reflects radiation back. The $T^4$ dependence is brutal: doubling absolute temperature multiplies radiated power by $16$, which is why a furnace element glowing red-hot loses heat overwhelmingly by radiation rather than by conduction to the air.