[jjjeffrey]

After reading this, it reminded me of Cauchy's integral formula. From Wikipedia (https://en.wikipedia.org/wiki/Cauchy%27s_integral_formula):

"In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all derivatives of a holomorphic function. Cauchy's formula shows that, in complex analysis, "differentiation is equivalent to integration": complex differentiation, like integration, behaves well under uniform limits – a result denied in real analysis."

Does anyone who knows this stuff better than me know if there's any meaningful connection?

[cgs1019]

It's similar to Green's Theorem, a special case of Stokes' Theorem. The latter is probably very closely related to the ideas underpinning the holographic principal (just guessing; my background is more math than physics, though I love both).

[zvrba]

Oh, thanks for reminding me of complex analysis. For me it was the most beautiful math course I had at the uni.

[eru]

It's the one part of analysis that looks like linear algebra.