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mumblerfish ,

E = mc^2 is not an equation relating to gravity in the way you imply, that’d be the Einstein Field Equation [1], which still depend on G. And as far as we know, c is also a constant.

Then I’d guess a bunch of statistical constants probably show up in the humanities all the time. Is that what you are looking for, or some closed form expression with the constant?

[1] en.m.wikipedia.org/wiki/Einstein_field_equations

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