What governing physical law relates a star's total luminosity ($L$) to its radius ($R$) and surface temperature ($T$)?

Answer

The Stefan-Boltzmann law

The Stefan-Boltzmann law dictates that total luminosity is a function of the star’s radiating surface area (related to radius squared) multiplied by the fourth power of its surface temperature ($L ot o R^2 T^4$).

What governing physical law relates a star's total luminosity ($L$) to its radius ($R$) and surface temperature ($T$)?
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