Accelerator created a plasma storm, move all air in the city and compress in a point.
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.
With a roar of wind, the sphere of plasma floating above lost its form.
“Wha-…?”
Accelerator looked up. That plasma had been created from all the wind flowing through the city being condensed into one point. The flow of that wind had clearly shaken for an instant. That had caused an error in the compression ratio which caused the plasma to be shaken as well.
Accelerator thought he might have made an error in his calculations of the wind, so he rebuilt those new equations. Unlike simple reflection, he had to calculate both, the vector before alteration and the vector after alteration which was a pain in the ass.
But Accelerator managed to perfectly revise that huge set of equations in less than 10 seconds. His brain had developed to the point that something of that level was no problem. In Academy City, power development was part of the teaching method, so Academy City’s strongest espers were also Academy City’s greatest honor students.
But the movement of the wind flowing through the city suddenly changed as if escaping from the supposedly perfect equations he had built up in his head. It was not a mere coincidence. It was as if the wind itself had a will and was slipping through the gaps of his equations.
The mass of compressed air above his head scattered and the plasma disappeared as if it were dissolving into the air.
(What? What the fuck happened!? There was no mistake in my equations. Those irregular eel-like movements were clearly not natural movements of the air!)
He wondered if he had gotten really unlucky and a actual wind user was using his power somewhere in the city, but that did not make sense as the irregular flow of the wind covered the entire city. If there was a wind user with the processing power needed to outdo Accelerator’s ability and equations, that person would definitely be designated a Level 5.
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.
Accelerator thought he might have made an error in his calculations of the wind, so he rebuilt those new equations. Unlike simple reflection, he had to calculate both, the vector before alteration and the vector after alteration which was a pain in the ass.
In OT 5 it is clarified that Accelerator calculated the movement of each air particle in the city when he made that attack.
In Academy City, where the school curriculum included esper development, the strongest esper in Academy City also had the strongest brain. Having accurately calculated all the air particle flow in the entire city before, Accelerator used all his thoughts to find a way to solve this.
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.
en.m.wikipedia.org
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.
The cylinder volume calculator helps in the calculation of the right, oblique and hollow cylinder volume.
www.omnicalculator.com
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
www.newscientist.com
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.
developer.arm.com 
calcworkshop.com 
