As we know from “flatland” as a sphere passes through the flatland plane, the sphere can be measured as a dot/circle at any given time.
https://demonstrations.wolfram.com/ASphereVisitsFlatland/
Wouldn’t that measurement of a higher dimensional object passing through the lower dimensional world sort of begin to appear and fit the definition of the uncertainty principle for particles in our own 3D world?
In other words as the 3D sphere is measured passing through the 2d flatland flatlanders can either know the position of the sphere or momentum, but as they measure one more accurately they can’t measure the other as accurately?
I guess what I’m trying to ask is it accurate to use the uncertainty principle as a flatlander describing a 3D sphere passing through flatland and if so, Would that give any credence to the bizarre possibility that particles in our world are actually 4D objects?