kaiyokoon
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Earlier today I was watching a few fight scenes from Naruto and I decided to watch the konan vs obito fight. When it got to konan's infamous 600 billion paper bomb explosion I got very curious and started looking through forums about it.
The following calculation is from the /r/naruto subreddit:
Note: This is done under the assumption that the planet Earth in Naruto is the same size as our own. None of this actual math was done by me, I just thought I'd share it
SIZE
To meet the 600 billion mark, she would need to produce 228,159 paper seals every second for 1 month. That's 13,689,546 paper seals every minute; 821,372,779 paper seals every hour; And 19,712,946,700 paper seals every day for one month. To compare the amount of paper that requires, in 2007, all the newspapers in the world only sell about 395 million copies per day (55 million in the U.S).
Assuming Konan's paper seals have the same dimensions as a standard playing card (63 mm x 88 mm), 600 billion paper seals would have a surface area of 3,326 kilometers squared. New York City has a surface area of 790 kilometers squared. Konan's papers could blot out the sun in New York City four times over.
The typical thickness of a playing card is 0.25mm. If Konan were to stack up all her paper, it would have a height of 150,000 kilometers. The diameter of Jupiter is only 142,984 kilometers. It would take a stack of over 11 Planet Earths to reach 150,000 kilometers. The total volume of the paper at 831,600 cubic meters exceeds the volume of the BP oil spill at 4.9 million barrels or 780,000 cubic meters. Konan's papers could soak up the BP oil spill.
Supposing four tags are the size of one book's leaf of paper, bound in sets of 200 leaves (400 pages), that's 800 tags per book. Squeeze those on to double sided bookshelves, eight shelves high, eight books per foot. Konan filled a library building, ten stories high, each story having twenty-two quarter mile long shelves. Imagine every sheet of paper in the French Bibliotheque Nationale exploding four times.
It would be simpler if Konan had some kind of doubling power where she could split paper bombs into double the number of equal sized paper bombs with a fixed input of time and chakra. If she had, starting with a single paper bomb she would only have to employ this jutsu ceiling(lg2(6,000,000,000)) = 33 times. Then again, the implications of allowing such a jutsu to operate without bound are catastrophic- even according to the highest estimate, it would only take 186 applications of the jutsu for the mass of produced paper bombs to exceed that of the observable universe.
Conclusion: 600 Billion Paper bombs should be the size of MEXICO, Konan couldn't possibly hide all of them underwater
WEIGHT:
A standard 52-card deck weights 94g. 11,538,461,500 decks could be made from Konan's paper: weighing at a total of 1,195,583 tons.
Conclusion: HEAVY AS ****
MATERIAL:
One ton of non-recycled office paper uses 24 trees (each tree 40 feet tall and 6-8 inches in diameter). Without ninja magic, 28,693,992 trees would have to be slaughtered.
Conclusion: Konan has killed the rainforest, that *****
IMPACT:
Konan's claims the blast would go on for 10 full minutes, meaning her attack produced one billion explosions per second. If the amount of energy released from one of those explosions is equal to just one gram of TNT then the amount of energy release per second is equivalent to 1 kiloton of TNT. The total amount of energy released from the 10 minute onslaught is equivalent to 600 kilotons of TNT, which translates to 0.6 megatons. To put this into perspective:
**The atomic bomb exploded on Hiroshima with an energy of about 15 kilotons of TNT.
**The highest yield nuclear weapon ever detonated was Tsar Bomba, at 50 megatons.
**The variable-yield B83 nuclear bombs in the current US arsenal have a maximum yield of exactly twice this estimate of Konan's total assault, at 1.2 megatons.
**This chart of nuclear weapon yields suggests that this estimate of Konan's assault would carry a total yield of somewhere between the Ivy King and the B83.
Conclusion: 600 Billion Paper bombs should have the sheer impact of SEVERAL NUCLEAR BOMBS, 40X TIMES STRONGER THAN THE BLAST THAT LEVELED HIROSHIMA. People in KONOHA should have been able to see a mushroom cloud
FINAL CONCLUSION:
Konan's attack should have had far greater consequences than just some small explosions in the water. The entire planet should be affected, and if Konan regularly used this Jutsu, she could destroy the entire universe
Kishimoto is bad at math
In reading this I was immediately and harshly reminded of the "writers have no sense of scale" trope on par with the infamous Flash
I know people like to point out the sheer ridiculousness of the Manda-Deidara escape incident, but based on this facts.. this moment in Naruto history completely ECLIPSES absolutely anything else in the manga. The next time someone feels like pointing out the illogical implications of "wireless" Susanoo or PS Kakashi via Ghostbito.. please remember that it could be much much much MUCH worse.
The following calculation is from the /r/naruto subreddit:
Note: This is done under the assumption that the planet Earth in Naruto is the same size as our own. None of this actual math was done by me, I just thought I'd share it
SIZE
To meet the 600 billion mark, she would need to produce 228,159 paper seals every second for 1 month. That's 13,689,546 paper seals every minute; 821,372,779 paper seals every hour; And 19,712,946,700 paper seals every day for one month. To compare the amount of paper that requires, in 2007, all the newspapers in the world only sell about 395 million copies per day (55 million in the U.S).
Assuming Konan's paper seals have the same dimensions as a standard playing card (63 mm x 88 mm), 600 billion paper seals would have a surface area of 3,326 kilometers squared. New York City has a surface area of 790 kilometers squared. Konan's papers could blot out the sun in New York City four times over.
The typical thickness of a playing card is 0.25mm. If Konan were to stack up all her paper, it would have a height of 150,000 kilometers. The diameter of Jupiter is only 142,984 kilometers. It would take a stack of over 11 Planet Earths to reach 150,000 kilometers. The total volume of the paper at 831,600 cubic meters exceeds the volume of the BP oil spill at 4.9 million barrels or 780,000 cubic meters. Konan's papers could soak up the BP oil spill.
Supposing four tags are the size of one book's leaf of paper, bound in sets of 200 leaves (400 pages), that's 800 tags per book. Squeeze those on to double sided bookshelves, eight shelves high, eight books per foot. Konan filled a library building, ten stories high, each story having twenty-two quarter mile long shelves. Imagine every sheet of paper in the French Bibliotheque Nationale exploding four times.
It would be simpler if Konan had some kind of doubling power where she could split paper bombs into double the number of equal sized paper bombs with a fixed input of time and chakra. If she had, starting with a single paper bomb she would only have to employ this jutsu ceiling(lg2(6,000,000,000)) = 33 times. Then again, the implications of allowing such a jutsu to operate without bound are catastrophic- even according to the highest estimate, it would only take 186 applications of the jutsu for the mass of produced paper bombs to exceed that of the observable universe.
Conclusion: 600 Billion Paper bombs should be the size of MEXICO, Konan couldn't possibly hide all of them underwater
WEIGHT:
A standard 52-card deck weights 94g. 11,538,461,500 decks could be made from Konan's paper: weighing at a total of 1,195,583 tons.
Conclusion: HEAVY AS ****
MATERIAL:
One ton of non-recycled office paper uses 24 trees (each tree 40 feet tall and 6-8 inches in diameter). Without ninja magic, 28,693,992 trees would have to be slaughtered.
Conclusion: Konan has killed the rainforest, that *****
IMPACT:
Konan's claims the blast would go on for 10 full minutes, meaning her attack produced one billion explosions per second. If the amount of energy released from one of those explosions is equal to just one gram of TNT then the amount of energy release per second is equivalent to 1 kiloton of TNT. The total amount of energy released from the 10 minute onslaught is equivalent to 600 kilotons of TNT, which translates to 0.6 megatons. To put this into perspective:
**The atomic bomb exploded on Hiroshima with an energy of about 15 kilotons of TNT.
**The highest yield nuclear weapon ever detonated was Tsar Bomba, at 50 megatons.
**The variable-yield B83 nuclear bombs in the current US arsenal have a maximum yield of exactly twice this estimate of Konan's total assault, at 1.2 megatons.
**This chart of nuclear weapon yields suggests that this estimate of Konan's assault would carry a total yield of somewhere between the Ivy King and the B83.
Conclusion: 600 Billion Paper bombs should have the sheer impact of SEVERAL NUCLEAR BOMBS, 40X TIMES STRONGER THAN THE BLAST THAT LEVELED HIROSHIMA. People in KONOHA should have been able to see a mushroom cloud
FINAL CONCLUSION:
Konan's attack should have had far greater consequences than just some small explosions in the water. The entire planet should be affected, and if Konan regularly used this Jutsu, she could destroy the entire universe
Kishimoto is bad at math
In reading this I was immediately and harshly reminded of the "writers have no sense of scale" trope on par with the infamous Flash
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in DC comics.I know people like to point out the sheer ridiculousness of the Manda-Deidara escape incident, but based on this facts.. this moment in Naruto history completely ECLIPSES absolutely anything else in the manga. The next time someone feels like pointing out the illogical implications of "wireless" Susanoo or PS Kakashi via Ghostbito.. please remember that it could be much much much MUCH worse.
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