On Cosma’s recommendation as always, I got Longing for the Harmonies out of the library and am having an absolutely amazing time reading it. Wilczek tries to explain modern physics from the perspective of its daily practicioners, describing the evolution from a physics of things (atoms, etc.) through one of relations (fields, etc.), to one of transformations (gluons, etc.) and on to higher-order concepts (symmetries and their breakage). It’s almost unbearably fascinating; it’s like a great novel whose resolution you ache to reach. Perhaps it’s not coincidental that Wilczek describes physics in a theme-and-variations form borrowing from music; this would explain the tension and (hopefully) resolution in Longing for the Harmonies.
I’m still a little confused about where some of the earlier physics concepts stand. For instance, I’m pretty sure there are still things in this universe: there are still electrons, for instance, and atoms. And I’m wondering what the virtually-unquestionable parts of physics are — the parts that any physicist would say are almost certain to still be with us 100 years from now. Einstein noted that the laws of thermodynamics would almost certainly never be overthrown, for instance. And despite their revision and deepending by general relativity, I gather that Newtonian mechanics is more or less set in stone. There are centuries of experiments backing it up. I gather that every time someone builds a skyscraper that manages to stand, that person owes Newton a debt.
Likewise, it seems to me that certain basic elements of quantum mechanics are beyond question. Without a lot of very strong hypotheses about the atom being true, nuclear weapons and computers would be simply impossible. Or without Maxwell’s equations, telephones, televisions and radios would be unimaginable. It hardly seems true that these devices would be conceivable under any model of physics. We need very precise experiments to establish their truth; not just any physics will do.
At one level, it seems undeniable that atoms exist. Einstein’s paper on Brownian motion tackled the doubters head-on, establishing that the motion of large particles under continuous bombardment from a surrounding medium (air or water, say) is best described by the assumption that there are finitely many objects jostling around the particles. The possibility that air and water are continuous media is explicitly ruled out. As a side benefit, Einstein’s paper allows us to derive Avogadro’s number as the consequence of a model and some measurements of macroscopically-visible quantities. I understand that his paper, and those that built upon it, agree with the observed value of Avogadro’s number to an astonishing degree.
But clearly atoms are not indivisible: atoms are composed of electrons, neutrons and protons, which in turn are composed of quarks, which each possess a color that can convert to other colors using gluons, and . . .
At this point my actual understanding of Wilczek’s book is fairly limited. I understand it on an abstract level, as a sequence of rules for manipulating other symbols. But I don’t really get this stuff, because as far as I can tell a lot of it is a pure mathematical abstraction, and I don’t know the math. Electrons exist, from what I can tell: the streaks in a bubble chamber — including characteristic curls resulting from the electric charge on the electron — match predictions really well. But as far as I can tell, things like gluons and virtual particles and spin are pure consequences of certain differential equations (spin apparently falls out of the wave equation when relativistic effects are taken into account, which I find an awfully neat trick); one can observe their effects on real objects, and falsify the predictions resulting from them, but one can’t actually touch a quark in one’s hand. (Though, as always, I welcome any corrections to this view.)
So would physicists count electrons, protons and neutrons as beyond doubt? There’s a large body of theory depending upon them (namely chemistry), and that theory works really well. Clearly we must be on to something.
I’m not suggesting that all the i’s have been dotted and the t’s have been crossed and we can put the books up on the shelf and fire our physics professors. But it does seem likely to me, as a physics outsider, that something very much like atoms, protons, neutrons and electrons will be with us 500 years from now. (Yes, a bold statement from a non-physicist. So sue me. Or correct me.) There’s just too much that works for it to be ultimately wrong. Is it reasonable to suggest that within 500 years we might have something that doesn’t use the same elementary particles as today, but that still gives predictions within a few percentage points of today’s predictions?
Newton wasn’t spectacularly wrong. The earth behaves precisely as Newton suggested; it took a while for anyone to find any data that agreed with Einstein while disagreeing with Newton. But when scientists measured the orbit of Mercury around the Sun, they found that it fit Einstein’s predictions perfectly. That’s a compliment both to Einstein and to Newton.
Clearly Einstein’s theories led to a whole new class of possibilities (black holes, gravitational lensing, the Big Bang hypothesis) that were impossible before. Again, my point is not that physics has reached the End State; new models suggest new questions. My point is simply that in a pragmatic sense, have we discovered true answers to some questions? There may be an infinity of questions we’ve not asked yet, but aren’t we justified in saying that we have answers to at least some?