HUP is may be a physical phenomena, but the same kind of uncertainty is part of Fourier transforms which are entirely mathematical constructs. So even more int

HUP is may be a physical phenomena, but the same kind of uncertainty is part of Fourier transforms which are entirely mathematical constructs. So even more intriguing than HUP, is the thing that purely mathematical constructs exibit the same sort of uncertainty as HUP. Gibbs phenomenon was initially thought by physicits to be due to defects in instruments making the measurements, but later it was unferstood to be a mathematical rather than physical characteristic.