[HN Gopher] The Ultraviolet Myth
       ___________________________________________________________________
        
       The Ultraviolet Myth
        
       Author : Luc
       Score  : 167 points
       Date   : 2024-02-12 15:11 UTC (7 hours ago)
        
 (HTM) web link (www.arxiv.org)
 (TXT) w3m dump (www.arxiv.org)
        
       | tremarley wrote:
       | Quantum physics: where the only certainty is that even scientists
       | are uncertain, but don't worry, nobody understands it, not even
       | the scientists themselves!
        
         | zamadatix wrote:
         | This is about misunderstanding purely of history, the actual
         | derived physics are not mistaken in either version of the tale.
        
       | alecst wrote:
       | It's so interesting. This isn't the only paper written about
       | this, because I actually came across this same idea last month in
       | a much older paper. Here's an extract from it:
       | 
       | > It might have been thought, by some scientists in the 1890's,
       | that refined mathematical analysis of this kind would play a role
       | in resolving the fundamental problems of classical physics
       | associated with the apparent failures of the equipartition
       | theorem. But that is not what happened.
       | 
       | > Although the quantum hypothesis did dispose of the paradox of
       | specific heats of polyatomic gases, and eliminated the
       | possibility that ether-vibrations (having an infinite number of
       | degrees of freedom) would drain an indefinite amount of energy
       | out of material systems at any finite temperature, these were not
       | the anomalies that provoked the introduction of the quantum
       | hypothesis in the first place. Max Planck was not one of the
       | physicists who worried about the validity of the equipartition
       | theorem before 1900, and the myth that his distribution law for
       | blackbody radiation was concocted merely to escape from an
       | "ultraviolet catastrophe" predicted by the Rayleigh-Jeans law has
       | now been thoroughly demolished. It was Paul Ehrenfest who
       | invented the ultraviolet catastrophe (eleven years after the
       | publication of Rayleigh's and Planck's papers in 1900) in order
       | to dramatize what would have been the consequences of the
       | equipartition theorem if it had been valid for all classical
       | dynamical systems (though neither Rayleigh nor Planck believed
       | that it was).
       | 
       | I have this saved as a note, but can't find the exact source atm.
       | Here's another source though, from the 60s:
       | 
       | https://sci-hub.ru/https://doi.org/10.1007/BF00327765
        
         | crdrost wrote:
         | I would be very interested to read this. I found one comment in
         | the abstract a little bit off-putting:
         | 
         | > Planck did not consider this a quantization, but merely a
         | mathematical trick to be able to calculate the entropy of the
         | oscillators.
         | 
         | My understanding was that Planck absolutely understood that his
         | approach _would have been_ a mathematical trick _if_ he took
         | the limit _h_ - 0, but that in stopping at a nonzero small
         | number he was explicitly aware that he was saying something
         | peculiar about the energies in the system, and had strayed far
         | away from that realm of pure mathematics into something that we
         | would today effortlessly identify as quantum, even if that word
         | did not exist at the time.
        
           | lumost wrote:
           | Often, when inventing something new - it can be difficult to
           | assess how novel the "new" thing is. Particularly when there
           | isn't yet a word for it. Planck may have simply believed that
           | this hinted towards something equivalent of an "atom" of
           | light. Atom's were after all a relatively recent discovery in
           | 1827, why couldn't you have an atom-like construct for light?
           | and why would light atoms be any different regular atoms?
           | 
           | While we now know a great deal about this topic - placing
           | such speculation in a paper would be problematic.
           | Hypothesizing that such quantizations are common for other
           | quantities would be even more problematic.
           | 
           | EDIT: Removed eroneous mention of michelson-moorly instead of
           | milikan oil drop experiment.
        
             | DiogenesKynikos wrote:
             | I think you mean the Millikan oil drop experiment.
        
               | tangj wrote:
               | ... Since Michelson-Morley was supposed to show the
               | relative speed of the Earth through the ether, but
               | instead showed there was no ether at all.
        
               | lumost wrote:
               | :doh: good catch :facepalm: it's been too long since
               | physics undergrad.
        
               | alacritas0 wrote:
               | Even though this is tangential, I think it's important to
               | note that this experiment should be called as the
               | Millikan-Fletcher oil drop experiment to acknowledge
               | Harvey Fletcher's contribution to this experiment as a
               | grad student which he was coerced into relinquishing to
               | receive his PhD
        
             | Sharlin wrote:
             | The question of whether light is a particle or a wave dates
             | back to at least Newton (who thought it was a particle) and
             | Hyugens (who thought it was a wave). By the end of the 19th
             | century, before Einstein brought up the photoelectric
             | effect, the consensus opinion was pretty firmly on the
             | "wave" side of the dispute, and apparently Planck was not
             | an outlier. See another comment:
             | https://news.ycombinator.com/item?id=39349027
        
       | btilly wrote:
       | Yet another example where it is tempting to retrofit a modern
       | understanding onto a historical debate. We're tempted to do this
       | because when you're embedded to the modern worldview, it is hard
       | to remember that others were once possible. And it is tempting to
       | believe that history was a straight arrow to modern truths. In
       | fact it was seldom such a straight path.
       | 
       | Kuhn complained about this in _The Structure of Scientific
       | Revolutions_. When trying to teach the history of science to
       | scientists, you have to work to get them to stop trying to think
       | the  "correct" way, so that they can understand the actual
       | historical debate.
        
         | bee_rider wrote:
         | I wonder if it might be pop-sci vs science, rather than modern
         | vs historical.
         | 
         | Physicists (from the outside at least) have always seemed more
         | like hunters than the town watch, they go looking for the
         | problems. There isn't some catastrophic looming threat of
         | physics approaching that they have to deal with, haha.
         | Unexplainable data is an opportunity and all that.
        
           | btilly wrote:
           | What I'm talking about is very much modern vs historical.
           | 
           | To take a trivial example, most of us would like to draw a
           | straight line from Darwin writing _The Origin of the Species_
           | to the current acceptance of his theory of evolution. We have
           | no particular desire to follow how Darwin 's work inspired
           | Francis Galton to study heredity. Unfortunately Galton
           | discovered regression to the mean when he did. Further
           | experiments undermined Darwin's theories as it uncovered
           | evidence for "natural types". The result was that a half-
           | century after Darwin's great book, many scientists doubted
           | Darwin's theories.
           | 
           | But then R. A. Fischer managed to explain the mess with
           | population genetics based on Mendel's theories. "Natural
           | types" disappeared from the literature, and Darwin was back.
           | Today Galton is likely to be remembered as a dilletante who
           | invented the idea of eugenics. And Fischer as a genius in
           | statistics. We retrofit a story with heroes (Darwin and
           | Fischer) and villains (Galton). We skip over the bad parts,
           | and focus on the good.
           | 
           | In the process we forget that Darwin also took it for granted
           | that blacks must be inferior to whites. And that Fischer was
           | also a supporter of eugenics. And that Galton set out to
           | confirm Darwin, then accepted the data that he encountered.
           | 
           | We want a story, not a mess. But history is full of messes.
           | Arranging the right ideas in the right ways involved a whole
           | lot of trial and error that wasn't obvious at the time. While
           | some of us enjoy learning about the history, it actually
           | isn't very helpful for scientists. Because there is little
           | point in learning every wrong idea that people used to hold,
           | only to immediately learn that you can forget it again
           | because it was wrong.
           | 
           | But while that exercise does not help us learn what is
           | currently known, maybe it can help give us more humility
           | about what it is we think we know today?
        
             | CamperBob2 wrote:
             | _Because there is little point in learning every wrong idea
             | that people used to hold, only to immediately learn that
             | you can forget it again because it was wrong._
             | 
             | Of course there's a point, one you suggest yourself. "If
             | great scientists like Darwin could be wrong about X, is
             | there a chance that I'm wrong about Y?"
        
               | btilly wrote:
               | That point can be reached with a relatively small amount
               | of history. Nobody could possibly learn all of it.
        
         | csours wrote:
         | One could easily adopt the idea that the history of science is
         | "Some smart guy figured this out" over and over again.
         | 
         | The real history of science is: A lot of people became
         | interested in problems and worked on theory and test apparatus
         | and put their ideas into public discussion and eventually and
         | sometimes suddenly we developed narratives and equations that
         | explain observations. Along the way there was a lot of
         | contention and conflict.
        
           | btilly wrote:
           | It is easy to retrofit many simple stories onto science.
           | 
           | In this case the "smart guy who figured it out" usually
           | didn't understand the discovery in the same way that we do
           | today. Something was figured out, but typically not in the
           | modern glory that we explain it with today.
        
           | leephillips wrote:
           | The equations don't just congeal out of the air, no matter
           | how many people are thinking about the problems. They are
           | indeed the results of some smart people figuring things out.
        
       | sgdpk wrote:
       | To be fair, I was taught exactly what this paper claims in my
       | Physics degree. Although I was also taught what they call the
       | "myth" in other classes.
        
         | pdonis wrote:
         | I was never taught the myth in an actual class. Every time I
         | have seen it has been in the context of a pop science article
         | or book.
        
           | Sesse__ wrote:
           | Seemingly also the Wikipedia article
           | (https://en.wikipedia.org/wiki/Ultraviolet_catastrophe)
           | claims the pop-sci ordering: "As the theory diverged from
           | empirical observations when these frequencies reached the
           | ultraviolet region of the electromagnetic spectrum, there was
           | a problem.[3] This problem was later found to be due to a
           | property of quanta as proposed by Max Planck: There could be
           | no fraction of a discrete energy package already carrying
           | minimal energy."
        
         | josh-sematic wrote:
         | Agreed; my professors did use Planck's trick to introduce
         | quantization, but made it very clear that he was just fitting
         | the data and thought the discretization would disappear with
         | further analysis.
        
       | adtac wrote:
       | Douglas Hofstader has a talk on this topic called "Albert
       | Einstein on Light; Light on Albert Einstein" that I often
       | revisit: https://www.youtube.com/watch?v=ePA1zq56J1I (watch 10:30
       | to 12:00 if you're pressed for time, but I recommend the whole
       | thing)
        
         | agonz253 wrote:
         | Indeed. I recommend also checking out the 2nd volume of
         | Einstein's collected papers. There is one with the proceedings
         | from a conference on the subject, and Einstein is basically
         | alone in trying to convince his peers, including Planck, of the
         | reality of "quanta" of light, independent of the process of
         | emission and absorption or mathematical tricks.
        
       | fsmv wrote:
       | This video talks about this story and in particular acknowledges
       | that it was called the ultraviolet catastrophe after Plank
       | https://youtu.be/gXeAp_lyj9s
        
         | DrDroop wrote:
         | I wanted to post the same thing, quiet a coincidence I watched
         | it yesterday.
        
           | SKCarr wrote:
           | Seems to have come out one day before this paper was
           | submitted, which is quite a coincidence.
        
       | csours wrote:
       | In which a more satisfying story "beats" the messiness of true
       | history.
        
       | bjornsing wrote:
       | I have a masters degree in physics from a Swedish university, and
       | I don't think I've ever heard the "myth".
       | 
       | But the actual story as described in the paper is vaguely
       | familiar. Before reading it my mind wandered to Einstein and
       | quantization of light.
       | 
       | Is this mainly a US myth perhaps?
        
         | pif wrote:
         | Same here, Italian background.
        
         | bowsamic wrote:
         | We were taught this myth in the UK
         | 
         | EDIT: both at high school and across multiple different
         | lecturers at university
        
         | bananskalhalk wrote:
         | I was taught this in a Swedish high school and it was repeated
         | at a Swedish university one year later.
        
           | BoardsOfCanada wrote:
           | Same here as for at Swe university
        
           | bananskalhalk wrote:
           | Added:
           | 
           | Please not that the authors are Norwegian at a Norwegian
           | university, and the first citation are "KVANTEFYSIKKENS
           | UTVIKLING i fysikklaereboker, vitenskapshistorien og
           | undervisning" by Reidun Renstrom at the University of Oslo,
           | all proclaiming the myth being perversive.
           | 
           | I would be careful proclaiming this being some kind of
           | American phenomenon.
        
         | BeetleB wrote:
         | Same here. Studied it in 2 different countries, and it was
         | always presented as "trying to explain black body radiation". I
         | think UV catastrophe was merely mentioned as a side note.
        
         | redavni wrote:
         | It has been repeated by YouTube "science communicators" quite
         | frequently and very recently.
        
           | dr_dshiv wrote:
           | It might not be historically accurate, but it's easy and
           | valuable to learn
        
             | smcin wrote:
             | Since we're on that beat, do we really believe an apple
             | fell _on Isaac Newton 's head_?
             | 
             | Rather than merely that he saw an apple fall nearby, and
             | wondered why it fell downwards.
        
         | bgirard wrote:
         | It's very common on Youtube physics education videos. My take
         | away from was exactly what the article states. That the
         | ultraviolet catastrophe was observed and that the study of it
         | lead to Quantum physics because it was noted that it could only
         | be explained if things existed in discrete energy levels.
        
           | jerf wrote:
           | I'm not even entirely sure the article establishes that it
           | was false. The wrong equations really had a problem with an
           | ultraviolet catastrophe. If the physicists of the time don't
           | seem to be running around panicking about that, it's because
           | equations not being entirely correct as they are in the
           | process of being refined was even by then a relatively
           | mundane thing, obviously part of the process.
           | 
           | We (hopefully) historically stand in a similar position with
           | regard to General Relativity and Quantum Mechanics. We know
           | they don't go together. We don't know what the correct answer
           | is. It's an understood problem. But it's not like physicists
           | spend their days running around and shrieking and breaking
           | down into tears about it, and in the meantime, we get on with
           | using GR & QM to predict things.
           | 
           | It may be too strong to say "Physicists observed this issue
           | with the equations and their freakout about them directly led
           | to quantization." But it was a real problem with the
           | equations, and it's certainly related to what led to
           | quantization, and if the story glosses over yet another
           | instance of what a physicists perceived as a mathematical
           | convenience that turned out to be quite physically real, I'm
           | not sure that's a vital detail for every high school student.
        
             | twoodfin wrote:
             | Is it possible there's some confusion here about the
             | understanding (then and now) of "catastrophe"?
             | 
             | As I understand, it wasn't meant to mean that the theory
             | had a catastrophic flaw, but rather that the infinite
             | energy implied at the asymptote itself represented an
             | (obviously unobserved, thus curious) physical catastrophe.
             | 
             | I agree with your characterization that an unresolved
             | catastrophe of the latter kind does not imply a crisis of
             | science the way an unresolved "catastrophe" of the former
             | kind might.
        
               | jerf wrote:
               | Could be. My understanding of the term is the same as
               | yours, but reading it the wrong way would fit the facts,
               | and I have to admit in general I can't be _too_ critical
               | of such a reading. The physics sense of  "catastrophe" in
               | use here is pretty obscure; I'm not sure I can think of
               | another instance of it I've come across in English.
        
               | Nevermark wrote:
               | "Catastrophe" or "crisis" have a long history of use for
               | sudden change phenomena, especially associated with some
               | major failure or blow up of a previous pattern of system
               | behavior.
               | 
               | "Critical" may be a more familiar word used in similar
               | contexts, honed in on a specific threshold of a dramatic
               | behavior change.
               | 
               | None of these words in this usage style refer to the
               | scientific social process, but to the phenomena.
        
         | ThrowawayTestr wrote:
         | There's a whole Wikipedia page for it:
         | https://en.wikipedia.org/wiki/Ultraviolet_catastrophe
        
           | littlestymaar wrote:
           | There are millions of "whole wikipedia pages" for things most
           | poeple will never hear of in their life...
        
         | f1shy wrote:
         | So was explained to me in another non us university. We used
         | books used in MIT, Caltech and Stanford; in all books there was
         | a mention to it.
        
           | kurthr wrote:
           | I've seen many mentions of the Ultraviolet Catastrophe, but I
           | don't remember reading that it directly caused Plank to look
           | for (a quantized) solution. That seems like a historical
           | justification that a QM physics class doesn't need. I looked
           | through both Liboff and Baym and don't see even a mention of
           | ultraviolet (other than problem sets) or catastrophe, but
           | maybe I missed it. These are searchable.
           | 
           | https://archive.org/stream/LIBOFFIntroductoryQuantumMechanic.
           | ..
           | 
           | https://archive.org/details/lecturesonquantu0000baym/mode/2u.
           | ..
           | 
           | I don't think the Mechanical Uselessverse (as we referred to
           | it) would be a text for these schools, thought it was
           | produced at caltech and it apparently does refer to the
           | ultraviolet catastrophe. I think you're more likely to find
           | it in videos and narrative historical materials where story
           | is more important.
           | 
           | https://archive.org/details/beyondmechanical0000olen/mode/2u.
           | ..
        
       | prof-dr-ir wrote:
       | This paper is nice but appears to stretch its result quite a bit.
       | 
       | First, the authors make a general claim about "most physics
       | textbooks" without providing a single example. I think one will
       | often encounter more nuanced statements in the better and more
       | widely used textbooks.
       | 
       | And I think the paper sorely lacks evidence for the general claim
       | in the concluding sentence: "The idea that physics progress
       | through a series of crisis, is hard to defend." Not only do they
       | present only a single example, but even in that case one could
       | claim that the "crisis" started _after_ the discovery of Planck
       | 's formula! After all, it fitted the data supremely well but
       | required this mystery constant: h.
       | 
       | It took physicist a quarter century to resolve the deeper meaning
       | of Planck's constant. If that was not a crisis in physics then I
       | do not know what would qualify as one.
        
         | alacritas0 wrote:
         | i wouldn't consider a quarter century of work by the field a
         | crisis
        
         | littlestymaar wrote:
         | > to defend." Not only do they present only a single example
         | 
         | Really? When there Mercury's perihelion mystery at the exact
         | same period? (Which got us general relativity)
        
         | alecst wrote:
         | It's not a stretch at all in my opinion, not only was I taught
         | this myself (multiple times at two separate universities in the
         | US) but there was a paper addressing this myth as far back as
         | the 60s.
         | 
         | Though I do agree with your second point. I can name two crises
         | off the top of my head: the black hole information paradox, and
         | the galaxy rotation curves which some claim are due to dark
         | matter. One is a major theoretical problem, and the other is a
         | major experimental problem. And though crises they may be, it's
         | not like people are running around with their hair on fire.
        
           | d0mine wrote:
           | There is a crisis in cosmology right now e.g., the apparent
           | conflict in our measurements of the expansion rate of the
           | early versus the modern universe. https://youtube.com/playlis
           | t?list=PLd19WvC9yqUf5TRqYoMYxEwjT...
        
         | btilly wrote:
         | I have no idea about current textbooks. But certainly the
         | physics textbook that I learned from quoted the myth. And it is
         | easy to find examples online, like https://chem.libretexts.org/
         | Bookshelves/Physical_and_Theoret..., that still do.
         | 
         | I wish it were otherwise, but there are some weird dynamics in
         | the textbook industry that reward looking like other textbooks
         | more than accuracy and usefulness.
         | 
         | A classic essay showing this is "The Case of the Creeping Fox
         | Terrier Clone" in Gould's book _Bully for Brontosaurus " that
         | traces the history of textbooks comparing _Hyracotherium* to a
         | fox terrier. This, despite the fact that most students and
         | authors have absolutely no real idea how big a fox terrier is.
         | And it wouldn't help if they did know, given that
         | _Hyracotherium_ actually weighed over twice as much!
         | 
         | Another classic essay showing how textbooks repeat other
         | textbooks without properly questioning what should be taught is
         | https://web.williams.edu/Mathematics/lg5/Rota.pdf. If you've
         | taken some variant of the differential equations course that he
         | discusses, I highly recommend reading his essay. I guarantee
         | that it is far from the only standard course with such levels
         | of silliness.
        
           | ilya_m wrote:
           | > Another classic essay showing how textbooks repeat other
           | textbooks without properly questioning what should be taught
           | is https://web.williams.edu/Mathematics/lg5/Rota.pdf. If
           | you've taken some variant of the differential equations
           | course that he discusses, I highly recommend reading his
           | essay. I guarantee that it is far from the only standard
           | course with such levels of silliness.
           | 
           | Thank you for sharing Rota's delightful lecture! I wish more
           | professors/instructors took a critical look at their
           | material, which is nearly always is taught in the order that
           | was put in place for some now utterly irrelevant or forgotten
           | reasons. If the science progresses at the speed of the
           | hearse, the education of scientific subjects barely moves at
           | all.
        
         | f1shy wrote:
         | I do not think calling out specific books would be remotely
         | good idea in many different levels. There are ao many examples,
         | it makes no sense to enumerate any. Virtually every explanation
         | I know starts with that myth.
        
           | bmacho wrote:
           | Why do you think that?
           | 
           | I think naming 3 of them would be better than naming 0 of
           | them.
        
             | _dain_ wrote:
             | I don't have a textbook at hand but I remember being taught
             | this history by physics lecturers in my undergrad.
             | 
             | I find it strange that many people in this thread are
             | gainsaying the existence of this narrative. It's surely a
             | commonplace part of physics education?
        
         | vondur wrote:
         | My Physical Chemistry textbook also refers to it as the
         | UltraViolet Catastrophe.
        
         | pflats wrote:
         | I was curious, so I grabbed three undergraduate-level physics
         | texts I had nearby.
         | 
         | One explicitly recites the Ultraviolet Catastrophe prompted
         | Planck story, complete with Rayleigh's incomplete formula.
         | 
         | One essentially matches the story in section 2, using the
         | lesser version of Rayleigh's formula, but (just like the story)
         | does not explicitly tie Planck's work to it. (That textbook
         | notes "an act of desperation" is a quote from one of Planck's
         | letters.)
         | 
         | The third one is interesting! It says that "late nineteenth
         | century physicists tried to understand the shape of the
         | blackbody spectrum [...] using their knowledge of
         | thermodynamics and electromagnetic waves. Their efforts ended
         | in failure." This third text never mentions Rayleigh by name
         | and doesn't specifically show "Rayleigh's Lesser Formula", but
         | it does graph that formula vs. the observed blackbody radiation
         | (interestingly, as a function of frequency instead of
         | wavelength).
         | 
         | The text then eventually says that in 1900, Planck used a
         | photon argument "to make a theoretical prediction that is in
         | excellent agreement with the experimental spectrum". It does
         | not explicitly state cause and effect, but it's kinda implied
         | from the structure of the writing.
         | 
         | Reading into the third text a smidge, it feels like the result
         | of wanting to use the Rayleigh/Catastrophe story and yet
         | knowing it wasn't quite true.
        
           | stracer wrote:
           | The third source is still wrong, as Planck certainly would
           | not agree that he used the photon argument to make a
           | prediction. He tried to explain the experimental data on
           | blackbody radiation, which manifested the spectral peak, and
           | an agreement with the Rayleigh-Jeans and Wien laws in the two
           | frequency limits. Thus not a prediction, but an explanation
           | of the observed thing.
           | 
           | And he did not believe in photons, he interpreted his work in
           | terms of classical EM radiation obeying some entropy
           | condition, and quanta of energy that he used were considered
           | either a math trick to make calculations with that entropy,
           | or a condition on the emission process only in his later
           | theories. He never assumed or believed that EM radiation
           | consists of quanta.
        
           | smcin wrote:
           | Useful to give the title, author, and date of those three
           | texts.
        
         | cyberax wrote:
         | Realistically, the UV catastrophe was not a crisis. Simply
         | because pretty much nobody understood its implications. It was
         | like: "Quantization of light makes this formula work? OK,
         | whatever".
         | 
         | At that time, the main catastrophe was caused by the null
         | results in the search for the luminiferous aether (Michelson-
         | Morley experiments).
         | 
         | At the same time, questions about the structure of matter and
         | the composition of the atom were another crisis point.
         | Earnshaw's theorem states that matter can't be held together by
         | electromagnetic forces alone.
        
       | adrian_b wrote:
       | Besides the myth busted in this paper, that the actually later
       | work of Rayleigh could have influenced Planck, there is another
       | incorrect myth, that Planck has introduced the "constant of
       | Planck" in his publication from 1900, where he presented the
       | deduction of the Planck formula from the supposition that the
       | emission and absorption of electromagnetic radiation are
       | quantized.
       | 
       | This frequently seen claim is also wrong. Planck has introduced
       | the constant of Planck and he has also computed its value with
       | excellent precision for that time (4% relative error) in an
       | earlier work published in 1899:
       | 
       | Max Planck, "Ueber irreversible Strahlungsvorgaenge",
       | "Sitzungsberichte der koeniglich preussischen Akademie der
       | Wissenschaften zu Berlin. Jahrgang 1899", pp. 440-480.
       | 
       | There Max Planck has presented deductions of the formulae
       | previously established by Wien for the blackbody radiation, where
       | he replaced the empirical constants of Wien with functions of
       | other universal constants and of the new universal constant
       | introduced by him.
       | 
       | Already Maxwell, a quarter of century earlier, had shown that it
       | is possible to determine the units for all physical quantities
       | with a single arbitrary choice (in his example, the wavelength of
       | the yellow light emitted by sodium vapor).
       | 
       | In 1899, Planck has shown that the law of blackbody radiation
       | provides an additional relationship between the units of length,
       | time and energy, which, together with the previous relationships
       | considered by Maxwell, can determine the units of all physical
       | quantities without any arbitrary choice.
       | 
       | So at the end of this work from 1899, where the constant of
       | Planck has been introduced, he has also presented the system of
       | natural units known now as the Planck units.
       | 
       | Nevertheless, the system of Planck units cannot be used as the
       | base of a practical system of units, because the uncertainty of
       | measuring the Newtonian constant of gravitation is huge. This
       | makes useless one of the equations that connect the units of
       | length, time and energy.
       | 
       | Because of that, any practical system of units must contain a
       | single arbitrary choice of a unit, which in the case of SI is the
       | frequency of a certain hyperfine transition of the cesium-133
       | atom, while all the other units result from this choice by
       | adopting conventional values for the universal constants, except
       | for the Newtonian constant of gravitation, which must be measured
       | experimentally (some constant determining the intensity of the
       | electromagnetic interaction, e.g. the fine structure constant,
       | must also be measured experimentally, but for that the
       | uncertainty is extremely low).
       | 
       | BTW, another extremely frequent incorrect claim about the
       | constant of Planck is that it is a quantum of action. This is
       | very wrong, it is a quantum of angular momentum (the ratio
       | between energy and frequency is an angular momentum, like also
       | the ratio between their integrals, i.e. between action and plane
       | angle). The origin of the mistake is the fact that many follow
       | the suggestions of the recent SI brochures (there was a
       | resolution adopted by vote that the unit of plane angle is not a
       | base unit, which is equivalent with establishing by vote that 2 +
       | 2 = 5), and they omit the unit of plane angle in the dimensional
       | formulae, in which case it appears that the unit of action is the
       | same with the unit of angular momentum, but they are not the
       | same, as any attempt to change the unit used for plane angles
       | would demonstrate, e.g. between radians and degrees or cycles.
       | 
       | The original constant of Planck corresponds to plane angles
       | measured in cycles, while the so-called h bar is the same
       | constant converted to correspond with plane angles measured in
       | radians.
        
       | sho_hn wrote:
       | As a physics layman, I learned his part of history from the book
       | "Quantum" by Manjit Kumar, which as far as I can tell got the
       | Planck bit right and covered his black body work correctly, FWIW.
       | 
       | It was a good read.
        
       | kazinator wrote:
       | > _many of the stories that have become central to the physics
       | lore are mere pseudo-histories far detached from the real events_
       | 
       | But, like, you know how Newton discovered gravity when an apple
       | fell on his head? Totally true, pinky swear!
        
       | demondemidi wrote:
       | Funny I spent Sunday afternoon watching youtubers talk about this
       | and they all pretty much said that the catastrophe predated
       | Plank's corrections (or caused them). Is this wrong, or is it
       | just pedantic?
       | 
       | Most importantly, is the wikipedia page correct:
       | 
       | https://en.wikipedia.org/wiki/Ultraviolet_catastrophe
        
       | lowbloodsugar wrote:
       | Never heard of this, despite a physics degree. Is this what
       | happens after social media is invented and all sorts of bullshit
       | is spread as fact?
        
         | wiml wrote:
         | No, I was taught this at least twice before social media became
         | a thing.
        
       | mcnamaratw wrote:
       | https://en.wikipedia.org/wiki/Rayleigh-Jeans_law
        
       | photochemsyn wrote:
       | Pedagogically, this is an argument against teaching physics using
       | the historical development model. You end up with post hoc
       | arguments and simplified narratives, and I think it it just makes
       | life harder for undergraduate students. Maybe 'history of
       | science' should be its own subject?
       | 
       | Some textbooks (e.g. Molecular Quantum Mechanics, Atkins &
       | Friedman) take a more nuanced view. They present failures of
       | classical calculations of the heat capacity of solids near
       | absolute zero side by side with blackbody radiation:
       | 
       | > "Einstein recognized the similarity between this problem and
       | black-body radiation, for if each atomic oscillator required a
       | certain minimum energy before it would actively oscillate, then
       | at low temperatures some would be inactive and the heat capacity
       | would be smaller than expected."
       | 
       | Debye improved the theory by allowing atoms to oscillate with
       | different frequencies. So looking back, one can say matter
       | appears to be quantized, and this shows up at low temperatures,
       | and radiation appears to be quantized, and this shows up at high
       | frequencies - which is a nice symmetric argument, visible in
       | hindsight, that probably helps students grasp the concept of the
       | quantized harmonic oscillator (and why they need to learn about
       | it).
       | 
       | One major development was Bose deriving Planck's radiation law
       | using quantum statisical arguments (and no classical physics),
       | with further development by Einstein c. 1924 - but this might be
       | a difficult place to start from, teaching-wise.
       | 
       | https://en.wikipedia.org/wiki/Bose%E2%80%93Einstein_statisti...
        
       | stracer wrote:
       | This particular part of "physicist's history of physics" about
       | quantization and Planck's work, promulgated by some sources, is
       | well-known to be a false account of history and motivations, and
       | has been criticized in mainstream literature before, e.g. by
       | Helge Kragh [1] (and probably by many others). The present
       | authors apparently are not aware of this, which makes me
       | suspicious that they did not do their homework on this topic...
       | 
       | [1]
       | https://dept.math.lsa.umich.edu/~krasny/math156_article_plan...
        
       | lewtun wrote:
       | The myth is also promoted in Chapter 3 of The Making of the
       | Atomic Bomb by Richard Rhodes:
       | 
       | > Plank had taught at Berlin since 1889. In 1900 he had proposed
       | a revolutionary idea to explain a persistent problem in
       | mechanical physics, the so-called ultraviolet catastrophe
        
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