Michael, I understand the theory.
No you don't. You understand how to mechanically run through the math, but you don't understand the physical process at all. You seem to believe that a minus sign in your math formula demonstrates "negative pressure in a vacuum", but all it demonstrates is a "pressure difference" between the inside and outside of the plates, much like RC's pressurized tank analogy.
I can (and have, many times) perform the calculation that leads to the experimentally confirmed prediction of Casimir pressure.
Whop-dee-doo. If only you understood the physics too.
I understand that quote completely - I might have said something very similar myself, had I been asked. It's fine, as a quote for the popular press - it gets the basic idea across.
It not only gets the idea across, it's highly accurate too, and completely congruent with the drawing on WIKI. Why is that sol?
But you seem to have missed one little point, which is rather crucial in this debate - that quote does NOT say whether the pressure is positive on either side.
That has to be the single *worst* rationalization I've seen. It *presumes* a "smaller pressure' and a "higher pressure", as in two positive numbers. If you have any doubts, look at the drawing. The arrows all point *into* the plates, not *away from* the plates, not even on the inside of the plates. The smaller blue arrow suggests there is less force on the inside and more of it on the outside. Nowhere do the arrows point *away from* any surface of any plate.
It simply says that the pressure outside is larger than the pressure inside.
Sure, much like RC's tank analogy. So what? Nowhere in any of these analogies do the arrows point away from any surface. The arrows point *IN*.
The pressure inside and outside could be positive - but if so, the outside pressure must be infinite.
This only demonstrates your basic problem sol. You are insisting that nature *must and does* comply and conform to your math formula, whereas in the real world, there could never be an "infinite" pressure or an infinite attraction between those plates due to the "imperfections' of the real world. You've yet to provide one empirical experiment to demonstrate that nature complies with your formula all the way up to an infinite number. Let's see your lab work sol. What's the most "pressure" ever registered in one of these experiments? Was it closer to +-1ATM or infinity?
Or the pressure outside could be zero or negative, and the pressure inside more negative. You can't tell from the quote (and for a very good reason).
Could be? Look at the blue arrows sol. They all point into the plate. There are no "could be's". There is only one possibility since the chamber has "pressure" at the level of atoms, let alone "force" from the EM field that pushes *AGAINST* all the surfaces.
Now - do you agree that the wiki formula is correct, or have you flipflopped again?
The formula is only a gross approximation of the pressure *difference* and it is an oversimplification of the actual physical process. There's nothing wrong with the WIKI article, although I could nitpick a word or two. The basic explanation is fine from a laymen's perspective. The physics explanation I cited is a better explanation of this process at the level of QM than the verbal explanation provided by WIKI. The drawings on WIKI however would suggest to me that the creator of those diagrams certainly understood his stuff at the level of QM and it jives with the other reference I cited just perfectly. The bubble drawing one was good too by the way.
Dude, the blue arrows all point in. If you prefer to see it as force, divide it by the area and you still get a number that points *in* not *away from* any surface of any plate. The *pressure* is "positive" on every side of every plate, just "more positive" on some sides than others. It really is no different than RC's tank analogy. Evidently you folks believe that if you take two positive pressures, and subtract one from the other in a way that gives you a minus sign, that you've discovered "negative pressure in a vacuum".