How much does true ambient Pi (math) deviate from its calculated derivative?

Question

When measuring resistance on resistor or even potentiometers, true resistance deviates from listed resistance. A 10K Ohm, may in fact be 9.9999 K Ohm, as opposed to true 10K.

The bigger picture of a deviation from true Pi is perhaps the travel of an electron in an atom. If wave particle duality is true in that everthing behaves as a sine function, how do we know that absolutely, all forces and matter revolve in a true pi?

A car going in a circle deviates greatly from pi, the path it takes (let's say, pi as 3.14 per whatever measurement). Whilst an electron orbiting protons and neutrons perhaps follow a more precise orbit (say, Pi to one billion places).

Now if electrons deviate from a true pi path, how do we know that with the concept of wave duality, this does not affect all other things in the bonded chain that makes our universe?

Answer 1

I didn't catch the question in that little mini-rant. What the heck is a "bonded chain that makes our universe?" I don't remember learning about that.

Answer 2

I think I kinda know what you're talking about, and it's a bit scary. You know, like maybe I've been reading to many Yahoo questions or something, because I really shouldn't know what you're talking about.

Anyway, Pi is a purely mathematical number that has nothing to do with the physical world. It's the circumference/diameter ratio of a perfect circle in something called Euclidean space. Euclidean space is a mathematical concept too; it's not real like outer space. Well, anyway, it's been known about 100 years now that Euclidean space is only an approximate representation of physical space in most cases, and doesn't work at all in others. Take a black hole, for example. The ratio of its event horizon circumference to its diameter (its "Pi", so to speak) is zero. So in that sense, physicists are already on top of the situation of which you speak. With great humility, they now accept that all their theories are merely effective in certain cases - just approximations.

Answer 3

Well, only addressing the first question--
When the manufacturing company that makes and sells the resistors state it is 10,000 ohms, they put a set of color-coded rings on it. These tell the nominal resistance and a variance from it which can be 1,5,or 10 percent.
This is just an industrial code. It has nothing to do with the object's true resistance.
HTH.