Processing speed of some things in ToAru

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In other threads I tried to measure the calculation speed of Accelerator and a super computer from academy city, as the results are quite large I am going to copy and paste here to see more opinions on whether I made a mistake or if those calcs are working good.
 
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Tree Diagram processing speed

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(http://imgur.com/a/FIPWc0D)
Well, I am going to seriously try to calculate the calculation capacity of the Tree Diagram.

According to the quote and the manga, the Tree Diagram can calculate the entire month’s movement of each air particle on the planet once a month.

It is not clear how long it takes, but it is known that it is less than a day since it repeats the process daily and sends hundreds of reports per day, so it also does other calculations but I have no way of calculating them.


So for the low end I will use one day of time frame and for the high end I will use one hundredth of a day.

So there are about 1.04 × 10^44 molecules in the Earth’s atmosphere.

Now the number of air particles on the planet is 1.04e+44.




Now I need to know how many floating point operations it takes to measure the motion of a particle.

According to this page, we could use this formula



So need about of ~40 floating points operations to calc of the movement of one particle.

40*1.04e+44= 41.6e+44 floating points

1 day= 86400segs

1 day/100= 864 segs

Low End Tree Diagram Flops: 41.6e+44/86400= 4.8148148e+40 flops

High End Tree Diagram Flops: 41.6e+44/864= 4.8148148e+42 flops

Results:

(Low End) Tree Diagram Flops: 48 duodecillions flops

(High End) Tree Diagram Flops: 4.8 Tredecillions flops


To be honest, the Tree Diagram being a computer, I doubt it can be scaled to a character without a direct statement but maybe it's a good feat for things related to hacking
 
Accelerator hacking the Last Order's brain

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Well I'm not sure if the calculation speed is accepted here as a feat, I think so but at least I found it fun to calc the calculation speed of Accelerator...

In OT 5, Accelerator analyzed all of Last Order's neural synapses to find and eliminate the thousands of traces of viruses in her brain.
And it is emphasized that Accelerator was looking for viruses so as not to get confused and fry neurons
The amount of calculations was so great that he lost the ability to reflect for that instant and that is the reason he was shot in the head.
According to the internet there are 1000 trillions of synapses in the human brain.

Now the time frame is cleared a couple of times like it was 52 seconds
So 1e+15/52 is 1.9230769e+13 calcs/seconds.

So he could do a calculation on 5.2e-14 seconds
In that time span someone 64146.9 c can travel just one meter.

After the headshot, his calculation capacity was reduced by half.

Post headshot can calc in 10.4e-14 sec

To add weight to this calculation it is mentioned that Accelerator can calculate the movement of all air molecules in the city.
I don't know if it goes into reaction speed but at least it could go in as the limit of his vector field

Results
Accelerator pre-headshot calculation speed= 5.2e-14 seconds

Accelerator post-headshot calculation speed= 10.4e-14 seconds
 
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Accelerator calc all air particles flow in the city

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How big is Academy City?
Apparently 1/3rd the size of Tokyo.
https://toarumajutsunoindex.fandom.com/wiki/Academy_City
Km²?

Well the AC is a cirle, so is like 15.25 km of radius.
Well, this may be the craziest feat in Accelerator's reactions, so I would understand if a discussion arises, especially since it is a feat from the first volumes and that no one calculated it to date.
Accelerator created a plasma storm, move all air in the city and compress in a point.
(http://imgur.com/a/YR3iEOd) The relevant thing about this is that in OT3 it is clarified that Accelerator in 10 seconds calculated all the airflow, both the new one caused by it and the natural flow.
As I know that it is tedious for some to read all that, I leave only the relevant part here.
But Accelerator managed to perfectly revise that huge set of equations in less than 10 seconds.
In OT 5 it is clarified that Accelerator calculated the movement of each air particle in the city when he made that attack.

Here I already have the radius of the city
Well the AC is a circle, so is like 15.25 km of radius.
Now I need to know how high in the atmosphere it was controlled.
Seeing that in the Railgun manga storm clouds are seen.



Apparently those seem to be Nimbostratus clouds.

Altitude

500-5,500 m
Those can be between 500 to 5000 meters high, for conservative data management purposes, I will use only 500 meters high.

With these data I calculate the volume of the air.

Air Volume= 365308320750.24 m³

Air density= 1.225 kg/m³

Air mass= 365308320750.24 m³ * 1.225 kg/m³

Air mass= 4.47502693e+11kg

Air mass= 4.47502693e+14 g

the mass of 1 mole of air will be about 28.8 grams.
Air mass in mole= 4.47502693e+14 / 28.8

Air mass in mole= 1.5538288e+13 mol
One mole of any substance contains about 6 × 10^23 molecules.
Air molecules= 1.5538288e+13 * 6e+23

Air molecules= 9.3229728e+36 molecules
Accelerator calc that in 10 seconds
But Accelerator managed to perfectly revise that huge set of equations in less than 10 seconds.
It is impossible for me to know what formulas the albino used since he also manipulated the air but at least need a calc to any particle.

Accelerator calc speed= 9.3229728e+36 calc/ 10 s

Accelerator calc speed= 9.3229728e+35 calc/s

In the case of this can be applied to his reactions, Accelerator or at least his field reacts within 1.0726192e-36 seconds, that is even much less of a yoctosecond.

Hypothetically with that it would react to things moving at 3.1 octillion times the speed of light at 1 meter away.

And maybe it contradicts when he hacked Last Order's mind, which would still be FTL but not as high level

But on the other hand it is not even 1% of the calculation capacity of the Tree Diagram.

Result

Accelerator calc speed= 9.3229728e+35 calc/s