We all know what it means to be homogeneous in a "hand waving" sort of way. And, of course, there are abstract mathematical definitions for a homogeneous space. I have been unable to find a physical measure of homogeneity which could be applied to a ensemble of particles, box of rocks, or the observable universe. The measure should depend on the distribution of particles and the scale at which we do the averaging. I find it hard to believe that this has not been studied by someone. Any leads?(adsbygoogle = window.adsbygoogle || []).push({});

“When you can measure what you are speaking about, and express it in numbers, you know something about it, when you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind; it may be the beginning of knowledge, but you have scarely, in your thoughts advanced to the stage of science.” William Thomson, Lord Kelvin

PS to Moderators: I am posting this in the Cosmology forum. Please feel free to move it to a better spot if you feel it is appropriate.

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# Physical measure of homogeneity

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