So, one time in History of Psychology, taught by the brilliant Lynn Winters, I got in this argument with this girl over a passage from Pynchon. Something about equating humans with molecules that don’t really have any control over the oppressive structural forces, A and B can’t do anything they just are, Knowledge and Power, yada yada…and I’m such a nerd, that what bothered me was not her quoting of the most obvious passage in Gravity’s, but that in reality, Pynchon is wrong, and it is far more absurd that that. What bothered me was the relapse into the Manichaeistic dualism that seems to continue to dominate most theory in philosophy, literature, etc., etc. It’s far more connected, empathic, and nuanced than that; definitely a gift and a curse, but what the fuck did you expect? I was reading one of my favorite blogs, Overcoming Bias, and came across a somewhat dense introduction into the shift from thinking in terms of classical to quantum physics (i.e., the physics that is much closer to the truth of the matter.) I’m just pasting a chunk of the original post by
The difficult jump from classical to quantum is not thinking of an electron as an excitation of a field. Then you could just think of a universe made up of “Excitation A in electron field over here” + “Excitation B in electron field over there” + etc. You could factorize the universe into individual excitations of a field. Your parietal cortex would have no trouble with that one – it doesn’t care whether you call the little billiard balls “excitations of an electron field” so long as they still behave like little billiard balls.
The difficult jump is thinking of a configuration space that is the product of many positions in many fields, without individual identities for the positions. A configuration space whose points are “a position here in this field, a position there in this field, a position here in that field, and a position there in that field”. Not, “A positioned here in this field, B positioned there in this field, C positioned here in that field” etc.
You have to reduce the appearance of individual particles to a regularity in something that is different from the appearance of particles, something that is not itself a little billiard ball.
Oh, sure, thinking of photons as individual objects will seem to work out, as long as the amplitude distribution happens t factorize. But what happens when you’ve got your “individual” photon A and your “individual” photon B, and you’re in a situation where, a la Feynman paths, it’s possible for photon A to end up in position 1 and photon B to end up in position 2, or for A to end up in 2 and B to end up in 1? Then the illusion of classicality breaks down, because the amplitude flows overlap:
In that triangular region where the distribution overlaps itself, no fact exists as to which particle is which, even in principle – and in the real world, we often get a lot more overlap than that.
I mean, imagine that I take a balloon full of photons, and shake it up.
Amplitude’s gonna go all over the place. If you label all the original apparent-photons, there’s gonna be Feynman paths for photons A, B, C ending up at positions 1, 2, 3 via a zillion different paths and permutations.
The amplitude-factor that corresponds to the “balloon full of photons” subspace, which contains bulges of amplitude-subfactor at various different locations in the photon field, will undergo a continuously branching evolution that involves each of the original bulges ending up in many different places by all sorts of paths, and the final configuration will have amplitude contributed from many different permutations.
It’s not that you don’t know which photon went where. It’s that no fact of the matter exists. The illusion of individuality, the classical hallucination, has simply broken down.
And the same would hold true of a balloon full of quarks or a balloon full of electrons. Or even a balloon full of helium. Helium atoms can end up in the same places, via different permutations, and have their amplitudes add just like photons.
Don’t be tempted to look at the balloon, and think, “Well, helium atom A could have gone to 1, or it could have gone to 2; and helium atom B could have gone to 1 or 2; quantum physics says the atoms both sort of split, and each went both ways; and now the final helium atoms at 1 and 2 are a mixture of the identities of A and B.” Don’t torture your poor parietal cortex so. It wasn’t built for such usage.
Just stop thinking in terms of little billiard balls, with or without confused identities. Start thinking in terms of amplitude flows in configuration space. That’s all there ever is.
And then it will seem completely intuitive that a simple experiment can tell you whether two blobs of amplitude-factor are over the same quantum field.
Just perform any experiment where the two blobs end up in the same positions, via different permutations, and see if the amplitudes add.
(Overcoming Bias)