Historical speed of light measurements in southern California (2014)
otherhand.org
otherhand.org
That's not right, velocity is a vector (a magnitude and a direction) and speed is a scalar (just a magnitude). The speed of light, c, is a scalar: in fact, one of the biggest things that Michelson showed is that it is the same in every direction! (If the speed of light was anisotropic then I think c would be a tensor).
I don't think I've ever heard anybody say "the velocity of light." I wonder where that came from.
Most likely, it’s a form of linguistic hypercorrection: https://en.wikipedia.org/wiki/Hypercorrection
Of course, any such attempt will eventually fail due to invariants that are independent of convention, such as the age of the universe as measured by an observer following the Hubble flow.
One can't help but be impressed at least a little bit by the ingenuity of it all, though...
edit: cf https://en.wikipedia.org/wiki/One-way_speed_of_light
Well, the speed of light through a non-vacuum isn't the same as any medium will slow it to some extent, but the speed of light in a vacuum is the definition of "c" and as such, that IS a constant and invariant.
We do that because we want "the statements of the natural laws [to be] as simple as possible" (Poincaré), but it's not the only way to do it...
Indeed. But even before you start messing with the formalism, the metric alone cannot be used to define a speed as 4-velocities are normalized. You need to decompose your tangent space into timelike and spacelike subspaces so you can have a dx and a dt.
I don't think that's true. If someone wrote a paper where the speed of light is different in one direction than another, then that's in clear contradiction with experiments. Yes, there are some legitimate searches for anisotropy in flat space, but they have all come up negative. So, I wouldn't say that it's "constant by convention."
In any case, the speed of light is constant.
Not a mathematician or physicist, many things are not right in those arguments, I don't know what to say.
But if you travel into the weeds, a constant speed of light is not the only way to arrive at those predictions: In the extreme case, you could make the speed of light infinite in one direction if you slow it down to c/2 in the opposite direction. We don't do that because we like symmetries, and having light jump instantly from the surface of the sun to hit your head, then 'crawl' towards a mirror only to make an instantaneous jump into your eye seems rather weird...
I accept the findings of those experiments, such as [1]. But if you are a crank, you can always come up with conspiracy theories which claim "The Experiment X" back in the 1930s disprove it but is suppressed by the establishment. I used to read those posts as entertainment, but I stopped since then, as it stopped being fun after a month or so.
> But if you travel into the weeds, a constant speed of light is not the only way to arrive at those predictions
I think many major subjects of natural science have a "catch" like this. What is being written in popular science and most textbooks is merely a caricature of the subject, far from the full picture, but is considered "correct enough" to be a useful mental model (or physical model) for public consumption. For a simple example, an electric circuit is inherently an electromagnetic phenomenon, yet the fairy tale of "the flow of electron" is commonly used, it's an incomplete and flawed model even at DC. We use it because most people, myself included, are incapable of thinking the physical picture of vector calculus and solve PDE mentally, let alone Quantum Field Theory, not to mention the "truth" is only sometimes relevant and useful.
Thus, if someone wants to engage in denialism or create FUD, one could just write something that is largely relevant but out-of-context, and say "you are being fooled, everything you know is wrong"! I suspect many pseudoscientific subjects, like the anti-vax movement or crank physics, frequency use this technique (or fell into it).
Also, I once saw a LessWrong post that hypothesized: engineers are more likely to become cranks - because they are knowledgeable enough to spot a flaw in a physical model commonly used in the industry, and realize they are being fooled by thinking critically, but often they are completely unaware of the underlying history or context of the physics. I don't have data, but I definitely have seen something like this. I once saw a website by an RF engineer that claims GR is false, and built his own version using the ideas from antenna theory...
[1] https://en.wikipedia.org/wiki/Michelson%E2%80%93Morley_exper...
For example, what is the speed of a bullet? It depends on the observer (as does velocity, but velocity is a more accurate thing to measure for this reason).
It so far is experimentally true that the velocity of light has the same magnitude (up to experimental error) in any frame, which was a tremendously crazy result at first, so much so that it forced mankind to give up the notion of constant flow of time, and it forces space and time to "rotate" into each other in a weird manner called space-time.
So the velocity of light is the proper term to use in an experiment.
That sentence doesn't make sense to me, velocity is even more sensitive to coordinate change than speed. If you rotate your coordinate system, all the velocities will change but speeds will stay the same. The phrase used in the article was "the velocity of light," which was known to be wrong even back then because light has a different velocity depending on which way it is going.
[0] https://www.otherhand.org/home-page/physics/historical-speed...
[1] https://www.otherhand.org/wp-content/uploads/2012/04/Mt-Wils...
[1] https://en.m.wikipedia.org/wiki/Santiago_Peak#Radio_communic...
Cue