Maybe entropic uncertainty (conjectured by Everett as part of his “Many Worlds” thesis, and proved by Hirschmann and Beckner) is along the lines of what you’re looking for. It’s a generalization of the Heisenberg uncertainty principle that applies even when the variance isn’t well defined.
Maybe entropic uncertainty (conjectured by Everett as part of his “Many Worlds” thesis, and proved by Hirschmann and Beckner) is along the lines of what you’re looking for. It’s a generalization of the Heisenberg uncertainty principle that applies even when the variance isn’t well defined.