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tl;dr Gojo is 6C, and if you are a mod please read this and edit the Gojo page.
Gojo's infinity makes him very strong - and this can be calculated.
Gojo's limitless is able to proportionately slow down things that are nearing him. This means that every time an object halves its distance to Gojo its speed also halves (or if you want to talk in relativistic terms the distance increases by a factor of 2 from the perspective of the attacker). Therefore, even though it takes the same time period to travel each 1/2^n fraction of the total distance to Gojo, n continues to increase and thus renders touching Gojo impossible. Look up Zeno's arrow paradox for more information.
https://en.wikipedia.org/wiki/Zeno's_paradoxes#Arrow_paradox
This would mean he is technically untouchable, but this is obviously not true in the real world as there is a limit as to how small he can divide up the space: anything distance smaller an atom means that he would be stopping electrons within the object that is moving towards him. The electrons in the object would be already close enough for the electrostatic force to be strong enough to push back electrons in Gojo, thus causing him to feel the effects of the attack.
Nonetheless, Gojo is still very strong. The calculations below show that it would take 0.87 seconds for an attack at the speed of light to travel the original distance of 1 meter and hit Gojo from his perspective (the space of 1 meter expands at a constant rate by a factor of 2 from the perspective of the attack so as to make sure c stays the same).
CALCULATIONS
We can calculate this using summation notation on an infinite series. The sum of the total distance needed to travel is:
(in meters)
However, since limitless stops working at an atomic level (10^-10m), it would take a little more than 33 iterations of a 1 meter attack halving the distance for the attack to hit:
(or you can use logs, whatever.)
The attacker's fist takes the same amount of time travelling through the first 1/2 of the distance as to the next 1/4 as to the next 1/8 and so on until it reaches the 1/2^33.
Therefore the time taken for an attack is:
, with v representing velocity and n representing the iteration of the sequence by halving the distance.
If we plug in the speed of light into v, we can see that it would still take 0.87 seconds for the attack to hit:
CALCULATIONS END
(for those who weren't bothered to do the math, here's the rest of the article... I feel like this is going to give someone deja vu of hakari's domain expansion explanation by Gege
)
Gojo's fight against Jogo showed Jogo spraying a volcanic eruption at him. Since lava has the density of 3100kg/m3 and he sprays 50–200 (min 50) cubic meters per second, this amounts to 155000 kg. He easily withstood it with no effort.
For fun, let's get Garou to shove this lava in his face at the speed of light
KE = 1/2 * mv^2
1/2 * 15500 * (3*10^9)^2
=7*10^21
However, Gojo can only stay there for 0.87 secs rather than a full second therefore ans*87% = 6*10^21
This puts Gojo at minimum High 6C in terms of energy, and I think it's fair enough to say I'm not blowing things out of proportion, just math calculations.
Gojo's infinity makes him very strong - and this can be calculated.
Gojo's limitless is able to proportionately slow down things that are nearing him. This means that every time an object halves its distance to Gojo its speed also halves (or if you want to talk in relativistic terms the distance increases by a factor of 2 from the perspective of the attacker). Therefore, even though it takes the same time period to travel each 1/2^n fraction of the total distance to Gojo, n continues to increase and thus renders touching Gojo impossible. Look up Zeno's arrow paradox for more information.
https://en.wikipedia.org/wiki/Zeno's_paradoxes#Arrow_paradox
This would mean he is technically untouchable, but this is obviously not true in the real world as there is a limit as to how small he can divide up the space: anything distance smaller an atom means that he would be stopping electrons within the object that is moving towards him. The electrons in the object would be already close enough for the electrostatic force to be strong enough to push back electrons in Gojo, thus causing him to feel the effects of the attack.
Nonetheless, Gojo is still very strong. The calculations below show that it would take 0.87 seconds for an attack at the speed of light to travel the original distance of 1 meter and hit Gojo from his perspective (the space of 1 meter expands at a constant rate by a factor of 2 from the perspective of the attack so as to make sure c stays the same).
CALCULATIONS
We can calculate this using summation notation on an infinite series. The sum of the total distance needed to travel is:
(in meters)
However, since limitless stops working at an atomic level (10^-10m), it would take a little more than 33 iterations of a 1 meter attack halving the distance for the attack to hit:
(or you can use logs, whatever.)
The attacker's fist takes the same amount of time travelling through the first 1/2 of the distance as to the next 1/4 as to the next 1/8 and so on until it reaches the 1/2^33.
Therefore the time taken for an attack is:
, with v representing velocity and n representing the iteration of the sequence by halving the distance.
If we plug in the speed of light into v, we can see that it would still take 0.87 seconds for the attack to hit:
CALCULATIONS END
(for those who weren't bothered to do the math, here's the rest of the article... I feel like this is going to give someone deja vu of hakari's domain expansion explanation by Gege
Gojo's fight against Jogo showed Jogo spraying a volcanic eruption at him. Since lava has the density of 3100kg/m3 and he sprays 50–200 (min 50) cubic meters per second, this amounts to 155000 kg. He easily withstood it with no effort.
For fun, let's get Garou to shove this lava in his face at the speed of light
KE = 1/2 * mv^2
1/2 * 15500 * (3*10^9)^2
=7*10^21
However, Gojo can only stay there for 0.87 secs rather than a full second therefore ans*87% = 6*10^21
This puts Gojo at minimum High 6C in terms of energy, and I think it's fair enough to say I'm not blowing things out of proportion, just math calculations.