What is an isotropy of space? Prove that isotropy of space leads to conservation of angular momentum.
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Optical isotropy means having the same optical properties in all directions. The individual reflectance or transmittance of the domains is averaged if the macroscopic reflectance or transmittance is to be calculated. This can be verified simply by investigating, e.g., a polycrystalline material under a polarizing microscope having the polarizers crossed: If the crystallites are larger than the resolution limit, they will be visible.
This is related to the isotropy of space. If the system is invariant under rotation about an axis, the angular momentum about the axis is conserved. So far, we have not observed any violation of conservation laws of energy, linear momentum, and angular momentum.
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