An old artifact kept in a vault outside Paris is no longer the standard kilogram
news.mit.edu
news.mit.edu
One mole contains exactly 6.022 140 76×10²³ elementary entities (as opposed to the number of atoms in 12 grams of ¹²C). Effective 20 May 2019.
https://chemistry.stackexchange.com/questions/91692/avogadro...
The mole is just a unitless number which isn't used for many definitions, while the bit (or preferably, Shannon) has a fundamental use in information theory and the wider field of physics.
The mole is a human specific number, the bit is a property of the universe. Information is a physical quantity, just like mass or length, and deserves to have a unit in the SI system. You could use other bases, like the nebit (natural log) or Hart (base 10), but bit is most elegant as it uses the smallest integer base possible, 2.
https://en.wikipedia.org/wiki/Parts-per_notation#Uno
However, I don't entirely disagree with where you go with this, but in my opinion, one ought to:
1. Use the nat an normalize everything else (which might seem like an odd idea at first, but think about it):
https://en.wikipedia.org/wiki/Nat_%28unit%29
But, if we assume you want to avoid the normalization, then it would seem more sensible, due to numerical efficiency, to use balanced ternary, which actually has, unlike what people who rather cluelessly apply the literal textbook (and terrible) metric of 'Radix efficiency'(an entirely artificial measure originally invented to account for engineering concerns related to vacuum tube spacing.) would presume, higher numeric efficiency than unsigned ternary, as shown here by a then Indian computer science student, Abhijit Bhattacharjee, whose work on this unfortunately only remains accessible via the Internet Archive Wayback Machine:
https://web.archive.org/web/20090312094241/http://abhijit.in...
He actually got a reply by Marvin Minsky(to an email he had sent him) at some point (also available via archive.org, but only if you do a lot of trickery which I can't do from my mobile phone, I've however previously verified the quote he provided on the bottom of the page and it does, by all things I could account for, indeed seem genuine), which I'll quote here:
"Yes it is a fascinating subject, and your explorations and descriptions are extremely readable. I hope it gets the interest of more mathematicians."
It seems that the reason is that chemists don't care how many atoms there are in their reactions. It would be inconvenient: fractions of atoms don't make sense, and the numbers are far from human scale. They just want an agreement, so that even if they don't know the exact number of atoms in their test tube, they know they all have the same number. That's what units are for.
The definition of units are done in the most convenient and precise way possible. And they are updated as science progresses. For the kg, the artifact used to be the best we had, alternative methods weren't precise enough, they changed that to the Kibble balance because now, it is better. It may change again at a later time if we find something better.
Back to the mole, it used to be defined as the ratio between the kilogram and the mass of a 12C atom because it is the best we had. Now that we can count atoms with more precision, we decided to change it to just the Avogadro constant, which becomes fixed. Again it might change. What may happen (or may have happened, see Avogadro project) is that we can define the kilogram using the mole, making it fundamental.
testing my scale with a mirror that contains a kg of photons doesn't sound very convenient.
I get the feeling this just changes the definition of "Kg", but not how reference Kg's are actually produced?
The standard changed because people came out with a apparatus for using it. If there wasn't one, it wouldn't have changed.
But it's fit for measuring micrograms up to grams. One won't measure actual kg on it, at least not currently.
The difficulty with this simplistic view is that it turns out that nucleons actually differ in mass slightly, depending on which nucleus they're in (and, also, isotopic ratios matter), which means there are a few different definitions you can use for the number of nucleons in 1 gram of stuff. In practice, the difference is small enough that it doesn't matter for most uses, especially if you build it into your table of atomic weights.
Related to this is the fact that the Avogadro constant, 6.02214076×10^23 mol^-1, is equal to 1.
If we identify the entropy formula
S = kB ln W
as really being about bits, we see that in natural units kB = 1/ln(2) and can eliminate all energies in favor of temperatures (or vice-versa). If you think that entropy is better measured in nats, kB = 1. gram -> millikilogram
milligram -> microkilogram
metric ton -> kilokilogram
...never mind.Aside, are the mega and giga prefixes ever used for anything except bits and bytes?
(Edit: OK, OK. I forgot about megaohms, megahertz, megawatts. Also megapixels and Megadeth.)
Sure, few examples of the top of my head:
- Megatons, as in yield of nuclear weapons. Which is a bit odd unit, should be in J, goddammit!
- Similarly, energy consumption/production. Commonly used units MWh, GWh, TWh. Again, the proper unit would be J, not Wh. Or Mtoe, for Million tons of oil equivalent.
That’s what is odd about it? It should be teragrams.
How much money do we have left in the budget -> Several k€.
Astronomical distances in kilo, mega and giga parsecs / light years.
Forces (e.g engine thrust) Kilo and Meganewtons.
output of powerplants are usually in the Megawatt to Gigawatt.
Frequencys of radio waves are Megahertz to Terahertz.
Energy of cosmic Ray's goes all the way up to zetta electronvolts.
I could name more
Laughed at that one.
Sadly they are a little outside of the human realm of experience, both in their single units (waaay to small usually) and in the units that the list contains (speed, electrical charge, etc; where we like "introductory" units such as length, time, weight)
Realistically, we might also have shorthands for a convenient order of magnitude for each of the units
http://www.ihst.ru/personal/tomilin/papers/tomil.pdf
but these types of decisions should probably be left for whenever people can economically measure the constants with enough precision to be serious about switching.
I share your consternation with the kilogram's name, but it is almost as fundamental to our units as Franklin's implicit, and perhaps unfortunate, choice to call the charge of the electron negative.
Furthermore, the pound is a unit of force. One can find locations (poles and equator) on Earth's surface where the measured weights of an object can differ by at least 0.5% [1], making any definition of mass based upon weight troublesome.
Edit: Seems I completely missed a paragraph somehow. Thanks!
Any rational fractions using pi = pi atoms or molecules. And that's absurd to have r=(3V/4pi)^1/3 . No matter how you mess with it, it's irrational to the extreme!
Now.. Face-centered or ody-centered cubic follows a nice quadratic expansion for integer based counting. We don't need no steenkin pi's!
Why did the standard kilo ever need to be handled? Just store it on a balance and only handle the comparison unit.
Edit: see this Veritasium episode https://youtu.be/SmSJXC6_qQ8
As far as I know, the mechanism by which Le Grand K is drifting with respect to all of the national references is not known.
To leave it on a balance (which must be operated/checked/maintained) would expose the K to much more risk.
It talks about the "Mass of a photon" and weighing them directly, rather than the energy-equivalent mass, which is presumably what they are intending to talk about?
Photons indeed have no rest mass, but it’s impossible to ever find a photon at rest unless you yourself have no rest mass, in which case you also have no ability to do experiments.
[1] https://www.ngs.noaa.gov/PUBS_LIB/FedRegister/FRdoc59-5442.p...
checks date
fake news... the artifact is still the official reference for the standard kilogram for another 72 hours... ;)
But here is the answer [1]: "The new definition only became possible when instruments were devised to measure the Planck constant with sufficient accuracy based on the IPK definition of the kilogram."
Your intuition is correct -- it is possible to build more-precise intercomparison tools at the gram scale than the kilogram scale, but until next Monday, our units are referenced to Le Grand K, and any gram-reference must subdivide the absolute standard. After Monday, you're free to build your own gram-scale Kibble balance and call it an absolute standard.
The metric system did some great things (eliminated the use of measures that depended on the substance being measured, dry pints vs wet pints, bushel of wheat versus bushel of oats; simple relationship between units of length, area and volume), some things that were already common at the time (eliminated regional definitions of units; related the volume and mass of water), and some stupid things (metric prefixes).
But at the end of the day, the size of the meter and kilogram were chosen to be very nearly 3 Parisian feet and 2 Parisian pounds, because that made it easier to adopt.
The Sun is 1.5 x 10^11 meters from the Earth.
Calling it 1.5 x 10^8 kilometers doesn't help you visualize the distance better, nor calling it 150 gigameters. Now you have three numbers that mean the same thing floating around, and if you accidentally write 1.5 x 10^8 m somewhere instead of km, or read 1.5 x 10^11 km as m, you've just introduced a thousand-fold error.
Common units (eg, Angstrom) make sense when you do not need to convert between them; it's convenient if they are easily convertible to your standard unit, but having mg and ug and g and kg floating around is just an unnecessary headache, you inevitably accidentally interpret a microgram dose as a milligram dose from time to time and poison a patient or eight.
Why 1 GeV instead of 160 picojoules?
Not much, but still.
I think mass loss is probably proportional with either the surface area or the surface area of the handled portion. This is just a hypothesis based on what I suspect the mechanism for mass loss is (friction from air resistance and being touched). Now that we have a more accurate way of measuring mass we could repeat the experiment of trying to preserve a quantity of mass, even doing different variations based on quantity, material, conditions, etc. Such an experiment would be relatively expensive and take a long time for good results, but maybe someone curious with funding will do it.
EDIT: The idea that we could have preserved a gram of material, while measuring it's mass every 40 years, for the last 130 years while it only lost 5 picograms (1/1000th of the estimated mass of the reference kilogram lost) is so crazy I can't believe it.
Either way, I'm loving this.