I will try make this as simple as possible...
After some reading and revision:
the basic premise behind Heisenbergs Uncertainty Principle from a quantum mechanical viewpoint is "It is impossible to measure simultaneously both the position and velocity (or momentum) of a microscopic particle with absolute accuracy or certainty." This relates to wave particle duality ie that no physical event can be described as only a point particle or wave. So the more one knows about the physics of a particle (velocity, direction) the less we will know about its position, which means using probability thus leading to quantum entanglement. I prefer momentum, but I think that will confuse things here.
From that viewpoint you may be getting the Uncertainty Principle confused with "Observer effect". That is because what you refer to has happiness, confusion, emotion is actually electrical and chemical signals in your brain, which is observable.
I can see that you are using the standard deviation symbol so perhaps looking at it from a mathematical viewpoint. After further research of existential and abstract thinking you may have an entirely different viewpoint to that of myself who is thinking about this from a physicists viewpoint.
From a mathematical viewpoint, it is possible that your metaphor could work, albeit a poor metaphor, due to many people with other philosophies and views not understanding what you are on about.
In one of Satres works he defines facticity (better to use factuality than truth, as truth gets messy) based on "being and nothingness". From this conceptual view you may be disregarding a significant part of reality, that is the viewpoints of physical scientists and engineers (generally, and perhaps most mathematicians) to use this metaphor.
This view may allow you a large amount of existential freedom. However ones facticity depends on ONES OWN views and not those of others.
Furthermore, the concept of facticity depends on the viewpoint of the philosopher describing it. During "moods" facticity can have an enigmatic appearance ie you can accept it or deny it – this came from a German philosophy known as Geworfenheit. Yet if you look at facticity from Satre future events have an impact on your facticity.
What I take away from this is that you are more than welcome to think of Heisenbergs Uncertainty Principle as a metaphor for happiness, confusion, nothingness…. What ever you want, but others will not agree with you, which incidentally is what is happening here. Continue to dream on (or trip out, drive into a fence, or what ever else you would do in your car whilst thinking about this) my friend
