Chakra Quantification, a revised proposal:
So, I've been informed that we're now leery of making objective chakra measures public, because it might make it easier to figure out FOOM before we get started on it, which is a no-no. Thankfully, the same principles make it worthwhile still to do this in-house, and allow the Goketsu to objectively quantify chakra and
then decide whether we're willing to share our measurements with the outside.
So here's how you do it:
Let's make the following assumption: all jutsu and other chakra effects have constant cost for the same effect. What would we see in such a world?
Ratios would remain constant.
Suppose Hazou starts at full chakra and Dispels until he's empty. He would be able to cast it 220 times. Now suppose Keiko starts at full chakra and Dispels until she's empty. She would be able to cast it 260 times. For Dispels, the ratio between Hazou and Keiko is 220/260, or 0.846.
Now suppose Akane starts at full chakra and Dispels until she's empty. She would be able to cast it 300 times. This would give a Hazou/Akane ratio of 220/300, or 0.733, and a Keiko/Akane ratio of 260/300, or 0.867.
Under the assumption that all jutsu have a constant cost, we should expect to see these ratios remain the same no matter what jutsu they're casting.
Suppose Hazou casts Pantokrator's Hammer at level 10 for 16 CP. He would be able to cast it 13.75 (i.e. 13) times before running out. Keiko would be able to cast it 16.25 (i.e. 16) times and Akane would be able to cast it 18.75 (i.e. 18) times. For this jutsu the Hazou/Keiko ratio would be 13/16 = 0.813, the Hazou/Akane ratio would be 13/18 = 0.722, and the Keiko/Akane ratio would be 16/18 = 0.889. We can visualize this as follows:
| Hazou/Keiko | Hazou/Akane | Keiko/Akane |
Dispel | 0.846 | 0.733 | 0.867 |
Pantokrator's Hammer | 0.813 | 0.722 | 0.889 |
While the numbers aren't exact, you can see that they more or less align. The more jutsu we test, and the more people we test it with, the more confident we can be that these ratios belie a constant cost to the techniques and a relatively constant chakra pool.
Now, we
don't know if we live in this universe yet, IC. For all we know Hazou casts PH 20% more efficiently than Keiko, who Dispels 30% more efficiently than Akane. If we live in that world then it'd get much harder to determine things. If we can find that
some jutsu have nice ratios and other jutsus don't, then we can base our objective chakra system on the jutsu with good ratios and leave the rules for the other jutsu to figure out some other time.
But we do have a trump card, or two. There are two things we can do that are
more likely to play nice than others. The first of those being some equivalent to Nightlight seals, and the second of those being Noburi.
It is not implausible that we can design a seal that takes in a fixed amount of chakra from a person, much like the Nightlight seals we saw in Mist. While not guaranteed, it is more likely than a normal jutsu to take the exact same amount of chakra from whoever uses it, and thus give us nice ratios. Similarly, we can ask Noburi to drain from someone at a constant rate, and measure how long it takes for them to go from full to empty. This too I expect to be more likely than a normal jutsu to give nice ratios. We can use these two methods as touchstones in our project to help point us in the right direction.
So essentially what we do is we collect as much data as we can manage, and see if we can see any patterns. If we do, then we can hopefully pick out a jutsu that takes an objective amount of chakra no matter who casts it, and quantify our reserves in terms of it. Our data collection will be limited by the number of techniques we all share and the number of people we can safely conscript into this project without letting it leak (though with Hazou at the head we're already off to a bad start there), but I still think we've got a good shot at finding some good results.
edit: addendum due to EJ ponwog below:
If we start running into difficulties, what we can do is start tracking the experiments over time. Have Hazou do a Dispel gauntlet every week and see if the numbers vary meaningfully, see if we can identify trends and factor them out. This would raise the necessary sample size significantly to get good confidence, but it's still not implausible in theory.
And worst comes to worst, we can just slap down an arbitrary measure of 'one modified Nightlight Seal that Hazou made to be as consistent and precise as possible' and just define everything, weird variances included, in terms of that 1 SI Chakra.