[HN Gopher] Why is C the symbol for the speed of light? (2004)
       ___________________________________________________________________
        
       Why is C the symbol for the speed of light? (2004)
        
       Author : fanf2
       Score  : 103 points
       Date   : 2025-03-25 15:42 UTC (7 hours ago)
        
 (HTM) web link (math.ucr.edu)
 (TXT) w3m dump (math.ucr.edu)
        
       | madcaptenor wrote:
       | Okay, now why is m slope?
       | 
       | I'd also wondered why r is the correlation coefficient but it
       | turns out it's the "regression" coefficient, as in how strong the
       | regression to the mean is.
        
         | fuzzfactor wrote:
         | Kind of reminds me of a mountain you're going to climb :)
        
           | madcaptenor wrote:
           | From a bit of googling I see some people say it's from French
           | "monter", meaning to climb, which does come from the same
           | root as English "mountain".
        
         | JdeBP wrote:
         | A lot of these conventions just develop according to what
         | notation sticks, like how p caught on almost 3 millennia after
         | the ratio was treated as a constant.
         | 
         | And not all of them are even as universal as one might think.
         | mx+c is not.
         | 
         | Charles Hutton used y = ax + b for the equation of a "right
         | line" in xyr 1811 _A Course of Mathematics_ , for example.
        
         | anthk wrote:
         | For a Basque speaker as me, m was ideal because malda in Basque
         | means... slope :)
        
         | Keyframe wrote:
         | _Okay, now why is m slope?_
         | 
         | the great divide between US and Europe :D should be a - a, b,
         | c, d... why m though, indeed?
        
         | kqr wrote:
         | Wait, is m slope? I learned it with k (for coefficient) for the
         | slope, and m for the intercept (I don't know why m in that case
         | though).
        
       | xeonmc wrote:
       | Could also stand for Speed of Causality.
        
       | matt3210 wrote:
       | Because it's the fastest programming language
        
         | silisili wrote:
         | Yep but some are claiming this makes the speed of light
         | incredibly unsafe and unpredictable.
         | 
         | A small but loud group of scientists are working to replace c
         | with a crab emoji in most literature going forward.
        
           | anthk wrote:
           | >unsafe and unpredictable.
           | 
           | Just llike the Electron.
        
           | prerok wrote:
           | Travelling at c is UB.
        
         | benob wrote:
         | I definitely though of the programming language at first.
         | Although the speed of light is a bit presumptuous to qualify
         | the speed of C, I now wonder why every benchmark is against C,
         | and not some other language.
        
           | Someone wrote:
           | Partly because it is fairly fast, partly because, whatever
           | you're running _your_ language on, chances are better that
           | you can run a C compiler on it than that you can run most
           | other languages.
        
         | mike_ivanov wrote:
         | Wrong answers only
        
       | bregma wrote:
       | C is the Roman numeral representing 100. You can't go faster than
       | 100% of the speed of light. QED.
        
         | racl101 wrote:
         | Quod Erat Demonstrandum.
        
       | jihadjihad wrote:
       | That's celerious
        
       | Dwedit wrote:
       | You need "C" to be the symbol for the speed of light to make the
       | joke from Animanics work.
        
         | hiccuphippo wrote:
         | The one where they spell acme backwards?
        
           | racl101 wrote:
           | e m c a
        
         | travisgriggs wrote:
         | Link? I was a big animaniacs fan, but not recalling this one.
        
           | Dwedit wrote:
           | https://www.youtube.com/watch?v=rsyJX3sESjs
        
             | nullhole wrote:
             | "How can I eat cookies when the theory of relativity has
             | escaped me?!" is a pretty good line
        
       | havaloc wrote:
       | C you later?
        
       | gnarlynarwhal42 wrote:
       | Cool to see a local school on here.
       | 
       | Off-topic but their botanical gardens and Cactus/Desert garden is
       | a really enjoyable afternoon.
        
         | JdeBP wrote:
         | I wonder whether this is the Philip Gibbs that set up viXra.
        
       | zabzonk wrote:
       | A and B were already used. Somewhere.
        
         | raverbashing wrote:
         | B non-ironically was (I guess) - it means magnetic field.
         | 
         | A, no idea.
         | 
         | Also might I add the speed of light is (lower-case) c, not C
        
           | annodomini2019 wrote:
           | Wouldn't a have been used for acceleration?
        
           | hehbot wrote:
           | Magnetic Vector Potential?
        
       | pyuser583 wrote:
       | It wasn't the symbol for the speed of light, it was the symbol
       | for the Lorenz Constant.
        
       | simonjanssen wrote:
       | Somewhat off-topic, but here's "A joke about measurement":
       | https://www.youtube.com/watch?v=KmfdeWd0RMk
        
       | wnissen wrote:
       | My immediate guess based on no specific knowledge was "arbitrary
       | constant while they were figuring things out" and it sounds like
       | that's not far from the truth. The process of discovery is often
       | far more protracted than it seems when one is reading about it
       | decades after the fact.
        
       | DrNosferatu wrote:
       | _C_elerity?
        
       | 762236 wrote:
       | The 'short version' is very well written and to the point. (I
       | didn't read the long version, so my lack of comment on that isn't
       | a criticism of it)
        
       | Vox_Leone wrote:
       | "As for c, that is the speed of light in vacuum, and if you ask
       | why c, the answer is that it is the initial letter of celeritas,
       | the Latin word meaning speed."
       | 
       | Isaac Asimov in "C for Celeritas (1959)"
       | 
       | 'https://math.ucr.edu/home/baez/physics/Relativity/SpeedOfLig...
        
       | antirez wrote:
       | Because of the language
        
       | hangonhn wrote:
       | I was always taught that it stood for "constant", which is what
       | the speed of light is in every frame of reference and I've never
       | stopped to question it because it made sense. But it seems that
       | usage actually predates Einstein according to the above article.
       | It's interesting how a good story can be used to sell something
       | that's not entirely true and I never stopped to question it.
        
       | throw-qqqqq wrote:
       | > Why is C the symbol for the speed of light?
       | 
       | Because C++ and Rust wasn't invented when they formalized it! ...
       | I'll see myself out
        
       | fsckboy wrote:
       | > _This usage can be traced back to the classic Latin texts in
       | which c stood for "celeritas" meaning "speed". The uncommon
       | English word "celerity" is still used when referring to the speed
       | of wave propagation in fluids_
       | 
       | not to mention the more common "acceleration"
        
         | froh wrote:
         | yes! and that is composite
         | 
         | * "a-/ad-" towards
         | 
         | * "celeritas" speed
         | 
         | the second derivative, of sorts:
         | 
         | towards+speed
        
         | DiogenesKynikos wrote:
         | Indeed, and c_s ("c subscript s") is commonly used to denote
         | the speed of sound.
        
         | munificent wrote:
         | Yes, the very next sentence in the article:
         | 
         |  _The same Latin root is found in more familiar words such as
         | acceleration and even celebrity, a word used when fame comes
         | quickly._
        
       | tonymet wrote:
       | C is for "Cochranes", named after Zefram Cochrane
        
         | AnonymousPlanet wrote:
         | I thought it was because C is fast (compared to most other
         | languages)
        
           | bee_rider wrote:
           | But light is fast compared to all other things, not just most
           | other things. It is the fastest thing. So, this can't be it,
           | otherwise Fortran would be traveling back in time... wait,
           | _is_ Fortran traveling back in time?
        
         | awesome_dude wrote:
         | C is for cookies, and that's good enough for me!
        
       | ck2 wrote:
       | I always thought it was because it's not the speed of LIGHT
       | 
       | It's the speed of causality
       | 
       | But it still blows my mind the universe expands faster than C
       | 
       | https://en.wikipedia.org/wiki/Cosmological_constant#/media/F...
        
       | formerly_proven wrote:
       | 'cause you don't c it coming
        
       | throwawayk7h wrote:
       | Please fix the title, it's _c_, not _C_.
        
         | idoubtit wrote:
         | I never understood the appeal of title case. It brings nothing
         | valuable, but sometimes leads to stupid mistakes like this, or
         | raises ambiguities that hamper my reading.
         | 
         | I hope the American influence won't make this practice more
         | common in British English. But it's not just about the country:
         | The Washington Post has sane titles, like every British
         | newspaper I've read, while The New York Times Has Elite Titles
         | With Many Big Letters.
        
         | 9rx wrote:
         | Technically it is the character with Unicode code point
         | U+1D450. But HN arbitrarily removes it from the string upon
         | submission, so, since we're approximating, C will do.
        
       | xenadu02 wrote:
       | _c_ is technically the speed of _causality_. The speed at which
       | perturbations in the fields that make up the universe propagate.
       | 
       | The speed of light is a consequence of this, not the cause.
       | Calling _c_ the  "speed of light" is putting the cart before the
       | horse.
       | 
       | Photons (being massless) have 100% of their velocity in the
       | spatial dimensions and no velocity in the time dimension. They
       | move at the maximum speed that _any_ change in the
       | electrostrongweak force can propagate in our universe because
       | they are not free to do anything else.
       | 
       | From a photon's POV a trip across the entire universe happens
       | instantaneously - taking no time whatsoever.
        
         | belter wrote:
         | > c is technically the speed of causality.
         | 
         | How does this notion reconcile with seemingly instantaneous
         | quantum phenomena like spooky action at a distance?
        
           | jlawson wrote:
           | Quantum entanglement ("spooky action at a distance") doesn't
           | allow for communication, so there's no causality between the
           | particles.
        
             | belter wrote:
             | Thanks for the answer. I had forgotten about the No-
             | communication theorem.
             | 
             | This led me into another rabbit hole :-) of why c is
             | 299,792,458 m/s and for example not 499,792,458 m/s or some
             | other value, and the fundamental constants that bring this
             | value. [1]
             | 
             | Is there a current theory that tries to justify those
             | constants that bring the current value of c ? Are those
             | values the ones that must be, for the current Universe to
             | be feasible?
             | 
             | [1] https://arxiv.org/abs/hep-ph/0205340
        
               | pixl97 wrote:
               | I'm not sure if there is a good theory on why it ends up
               | being this speed, but if any of the constants were even
               | slightly different we wouldn't be in this universe to
               | talk about it.
               | 
               | https://en.wikipedia.org/wiki/Fine-tuned_universe
        
               | dcow wrote:
               | Veritasium has a few recent videos on Action. In one of
               | them I believe he shows speed of light expressed as one
               | unit of action, which implies that it's the highest
               | "resolution" any propagation can resolve at based on the
               | fundamentally smallest path integral any _thing_ can
               | traverse, or something.
        
           | xenadu02 wrote:
           | That touches on a long-running very complicated debate around
           | quantum mechanics, hidden variables, spooky action at a
           | distance, no-communication, etc.
           | 
           | For various quantum effects that seem to be paradoxes by
           | classical physics what is happening "under the covers"? Does
           | the delayed choice experiment _really_ send information
           | backwards in time? Even if it appears to do so if we can 't
           | at least send _information_ back in time with that mechanism
           | isn 't it just sophist philosophy at that point?
           | 
           | For my part I'm not smart enough to claim to have answers to
           | anything but my intuition is there are no quantum paradoxes.
           | Delayed choice does not send anything back in time. We don't
           | experience quantum phenomena at the macro scale so our
           | intuition and reasoning are ill-suited to thinking about it.
           | That easily leads us to incorrect conclusions.
        
         | chrisweekly wrote:
         | That sounds like an interesting theory; is it yours, or do you
         | have any citations / references you could share?
        
           | ameetgaitonde wrote:
           | He's just describing Einstein's Theory of Special Relativity.
        
             | chrisweekly wrote:
             | Huh. I'm admittedly no astrophysicist, but I don't recall
             | encountering this "photons have no velocity in the time
             | dimension" before. Maybe I'm one of today's lucky
             | 10,000[1].
             | 
             | 1. https://xkcd.com/1053/
        
               | bee_rider wrote:
               | But, it is sort of common to observe the somewhat trippy
               | fact that, unlike matter, photons don't experience time
               | passing, right? (Although, I will be honest, I could not
               | ever really grok relativity like a physicist. However, I
               | can enjoy the Lorentz factor going to infinity as v goes
               | to c).
        
               | da_chicken wrote:
               | From my understanding, it's more correct to say that time
               | is undefined for massless objects.
               | 
               | Through special relativity, our understanding of mass,
               | gravity, and spacetime are linked. If something has no
               | mass, then special relativity can't describe how gravity
               | affects it's spacetime reference.
               | 
               | Remember, however, that this explanation is based on the
               | mathematics that explain the observations we've made or
               | theorized. Just as the map is not the territory, the math
               | is not the universe.
        
               | salviati wrote:
               | I enjoyed this video on this topic a lot. Maybe you will
               | too: https://youtu.be/fB8eatgkOyM?si=D9s01MY8jByWREPX
        
               | nh23423fefe wrote:
               | It's not true. It's a mashup of a few ideas that don't
               | belong together.
               | 
               | 1. an object at rest has a world line which points (has
               | tangent vectors) in the time dimension
               | 
               | 2. light has proper time (dtau) = 0, so clocks moving at
               | the speed of light dont tick
               | 
               | 3. the magnitude^2 of an objects 4-velocity is c^2
               | (objects move through spacetime at c)
               | 
               | 4. light has no 4-velocity (because dtau=0, you cant
               | divide by zero)
               | 
               | You can't say (3) means objects have 4-velocity c in
               | spacetime and light has 3-velocity c in space and so that
               | means the time component of 4-velocity for light is zero.
               | 
               | Because light has no 4-velocity.
        
           | marcellus23 wrote:
           | It's Einstein's :)
        
           | xenadu02 wrote:
           | I can't claim credit for any of this. As others have noted
           | Einstein (and other much smarter people) are responsible.
        
           | smokel wrote:
           | If you think it is implied that _c_ stands for the first
           | letter of the word _causality_ , then reading the article
           | should be enough to convince you otherwise.
           | 
           | Einstein published his seminal works in German, and we'd be
           | more likely to have E=mk2.
        
           | zachooz wrote:
           | An introduction to general relativity spacetime and geometry
           | by Sean Carrol
        
           | grues-dinner wrote:
           | It is, in my opinion, not extremely obvious from the usual
           | descriptions of relativity, but basically when you move
           | faster and faster, you _trade_ your velocity through time for
           | velocity through space. Rather then a funny result, that _is_
           | the theory.
           | 
           | If you're at rest, you have maximum time velocity (1 you-
           | second per frame-second). If you're at the speed of light,
           | it's zero you-seconds per frame-second.
           | 
           | This is described by the Minkowski space, which is a metric
           | that puts two events the same distance apart in spacetime
           | regardless of reference frame.
           | 
           | Greg Egan's series "Orthogonal" looks into what the universe
           | would look like if time didn't have the opposite sign (so
           | that time is another dimension just like x, y, z). The
           | effects of that one sign change are very wierd.
        
         | 762236 wrote:
         | I downvoted you simply because that's the way HN works.
        
         | stared wrote:
         | It sounds like a really nice (and the shortest possible)
         | backronym.
         | 
         | https://en.wikipedia.org/wiki/Backronym
        
           | aatd86 wrote:
           | Isn't it supposed to be c for celerity? Edit.. Oh I see. Nvm
        
         | layer8 wrote:
         | Causation is a bit of a troublesome concept in physics:
         | https://plato.stanford.edu/entries/causation-physics/
         | 
         | I wouldn't use causality as a foundational concept
         | ontologically.
         | 
         | What's true is that _c_ doesn't just apply to the
         | electromagnetic field, but to all fundamental physical fields.
        
       | kqr wrote:
       | I realise now I had probably only thought of c as a natural
       | companion to v because of Qwerty keyboards...
        
       | rakoo wrote:
       | I've always learned that "speed" is something that can be used to
       | describe an object aka something with mass. When something
       | without mass travels (basically information) you use "celerity",
       | because it's not talking about the "same" thing
        
         | deadbabe wrote:
         | So c = celeration, the derivative of acceleration.
        
         | psd1 wrote:
         | A little too neat. It has the distinct aroma of lies told to
         | children. (Not that I would have detected it myself, as a
         | child.)
        
       | themaninthedark wrote:
       | I thought c stood for clock speed and that is how we know we are
       | in a simulation.
        
       | TZubiri wrote:
       | Because god coded it on C
        
         | Aardwolf wrote:
         | Thought something similar, it's all because they wrote C
         | instead of the actual c in the title
        
       | borntoolate wrote:
       | Because C++ is object oriented.
        
       | DarkNova6 wrote:
       | Because C++ wasn't invented yet.
        
       ___________________________________________________________________
       (page generated 2025-03-25 23:00 UTC)