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User:GiverOfThePeace/Official Blog Explaining the Reasonings for our Attack Potency Borders

From The Codex

I’ve noticed that our borders for the attack potency tier don’t really have a justification for most of the values, I guess I’ll get to fixing that. For note each baseline value for the system past wall level is essentially assuming the object being engulfed by an omnidirectional explosion.

This is the calculator I’ll be using for KE so I don’t need to keep repeating the formula.

This is the calculator I'll use for math.

Subatomic & Atomic level

Both of these are at such extremely low energy levels that they are very hard to quantify.

Low Subhuman level

This deals with any things like data or digital beings, their energy level is extremely low but still quantifiable.

Subhuman level

The basis for this level is using a tiger beetle, one of the fastest insects in the world. Using KE for this, the Tiger Beetle can run at a speed of 9 km/h (5.6 mph; 2.5 m/s) and and they weigh less then 1 gram, so we'll just use 1 gram for rounding sakes.

Putting these values into the KE calculator, we get 0.003125 J.

So a simple end for this is 0.003 for a baseline and then 1.4 J for the end to compare it to High Subhuman level.

High Subhuman level

Using an infant as a basis, they weigh 5 to 8 pounds, so we'll use a mean of 6.5 pounds. Babies move extremely slow, especially infants, so we'll give them 1 m/s.

Putting these values into the KE calculator, we get 1.4741752025 J.

So a simple end for this will be 1.4 J and then the high end will be 25 joules for the baseline for below average human.

Below Average Human level

This one will basically be starting at 25 joules as a basic basis to make them half the baseline for human level and moving to what the baseline of human levels joules are, which is 50 joules.

Average Human level

This will be used assuming the kinetic energy exerted from the average humans punch.

The average human weighs 62 kg.

Total body weight percentage for an arm is 5.335%.

The average punching speech for an untrained martial arts is 15 mph

62 kg * 5.335% = 3.3077 kg

KE = ½(3.3077kg)(6.7056m/s) = 74.37 Joules or 75.

Above Average Human level

According to this site athletes can range from 139 joules to 160 joules, so the baseline here should be about 130 joules.

Peak Human level

Peak Human has now been split from '9-C to make the higher low superhuman levels its own tier. For this, we'll go from 300 Joules to 7.0005e3 Joules.

Bone level

This deals with the more low superhuman statistics. Goes from 7.0005e3 Joules to 1.4x104.

Wall level

It has been shown that a .50 BMG Round can puncture a brick wall which at it’s lowest deals about 14000 joules.

Room level

It was agreed upon that “Small Building level” being 9-A doesn’t make sense when all of the other “small” level terms are all under the same tier with just a “Low” or “High” to replace them. Thus “Small Building level” has been renamed to “Room level” with Small Building level becoming Low 8-C.

Room level’s baseline according to this site, the average dimensions for a living room is 16 x 20, but to make it into a regular average we'll change it to a perfect 20 x 20 which would make it 400 square feet and 20 feet. Using this, the formula would be

W = (6.096m)^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

W = 0.018206245316128095 Tons of TNT or 7.617493040267995e7 Joules.

Small Building level

As said with Room level, Small Building level is now Low 8-C.

Small Building's baseline is based off this site which says the average square footage of a house is 2,273 square feet, or 47.68 feet/14.532864 meters.

W = (14.532864m)^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

W = 0.246682955723737567076139949247515 tons of TNT, rounding up this gets .25 tons of TNT or 1.046e+9 Joules.

Building level

It's noted here that the average square foot for a building in the 2000s is 19,000 square feet.

W = (42.00144m)^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

W = 5.9549491310924577933887114452 Tons of TNT, we'll round this one down to 5 tons of TNT or 2.092e+10 Joules to mix together with Large Building and City Block's ranges.

Large Building level

Initially skyscrapers were accepted as the high end of Large Building but after calculating the destruction of a skyscraper, it got into far higher ranges, so it cannot be used at all. Large Building will be the in-between of Building and City Block, 7.5 tons as a baseline and 10 tons as the end due to City Block level.

City Block level

A city block’s standard size is 100m x 200m.

We’ll use 200 end since that’s dealing with length. 50^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2 = 10.0460544623238495 tons of TNT or 10 Tons of TNT.

City District level

The assumed baseline is 100 tons as there’s no real valid way to calc it other then finding an unlikely distance between 2 city blocks.

Town level

Small and Large Town modifiers were deemed ultimately pointless since a town by definition is an area that is larger then a village but smaller then a city. So Large Town and Town are merged together while City District level and Small Town are merged together.

Town level’s baseline has been put as 10 kilotons. As fatman is rated about 21 kilotons.

City level

Small City like Small and Large Town modifiers were deemed ultimately pointless and since there is no Large City modifier, the only real thing needed is to merge city and small city.

1 megaton of TNT. As a single megaton is considered nuclear weapon levels.

Metropolis level

Initially we had Mountain level but due to it being far too inconsistent of an object and not really being consistent with the naming convention of tier 7 mainly being man-made societies, we have replaced it with Metropolis level as this falls under the baseline of the highest settlement hierarchy we have.

As the basis for this level, I have used a site to test what would happen if a tsar bomb hit Chicago (a metropolitan city that's roughly on the smaller side, and it destroyed a good portion of it, but not all of it. The site has the tsar bomb as a 50,000 KT weapon or 50 megatons, so this will be the baseline as Chicago is still above the idealistic average baseline for a Metropolitan area and it still gets a large portion of it affected.

Island level

Island and Large Island got merged for the same reason as City. Now the baseline we're going to use for Island is 1 gigaton, as gigatons is the start of a doomsday level device. Along with this, islands vary in size so finding a consistent average size for a level would be very hard and less optimal.

Country level

Small Country, Country, & Large Country got merged for the same reason as Island & CIty. The baseline modifier for Country will be 1 teraton as a teraton is a powerful energy equivalent to a magnitude an 11.2 richter earthquake.

The end scale will be 1 petaton for the results received from Continent levels baseline value.

Continent level

United states will be used as a baseline, which is 3000 miles wide.

2,414,016^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2 = 1.1305921039356015881e15 or 1.1305921039356015001 petatons of TNT.

Rounding down, Continent level will start at 1 petaton.

Multi-Continent level

So the baseline for Multi-Continent level would be the distance between two furthest points on earth.

The furthest that two places could be apart would be 12,430 miles or 20,004 km. apart.

Ground Explosion: W = 10002000^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2 = 8.0416666404865181824e16 tons of tnt or 80.416666404865182471 petatons of TNT.

Air Explosion: Y = ((10002/0.28)^3)/1000 = 45581273688.411079407 megatons of TNT or 45.581273688411080514 petatons of TNT. The lower border will be used here, which is 45 petatons and round it down to 40 petatons of TNT.

Moon level

The gravitational binding energy of the moon is 1.2 x 10^29 joules. Thus it is the baseline.

Small Planet level

For small planet the default assumption is Mecury.

The GBE of Mercury is 1.8×10^30 joules.

Planet level

The gravitational binding energy of Earth is about 2x10^32 joules.

Large Planet level

Using this site, I found Neptune's GBE, which is a good baseline for Large Planet level. Neptune got 1.705e34 Joules.

Brown Dwarf level

Brown Dwarves are personally distinct enough to warrant their own tier. They are a true in-between where they are too massive to be considered planets, but they don't sustain nuclear fusion like normal stars.

A brown dwarf has a polytropic value of 1.5. https://debatesjungle.fandom.com/wiki/How_to_Handle_Calculations#Gravitational_Binding_Energy

Brown dwarves start at ~13x Jupiter masses and go up to 80x Jupiter masses. https://www.caltech.edu/about/news/bands-clouds-swirl-across-brown-dwarfs-surface

They can vary between 0.64-1.13 RJ (Jupiter Radius). https://arxiv.org/abs/1304.1259

U = (3×G×(M^2))/(r(5-n))

G = 6.67408x10^-11

N = 1.5

Low end

M = 13 Jupiter Masses/2.47E+28kg

R = 4.5755e+7m

Plugging in values...

U = 7.6278117e+38 Joules

High end

M = 80 Jupiter Masses/1.52E+29kg

R = 8.0786e+7m

Plugging in values...

U = 1.6360467e+40 Joules

Low Mass Star level

The baseline for it is the end value of brown dwarf level.

Star level

The gravitational binding energy of the sun is 2.3 x 10^41 Joules.

High Mass Star level

The Large Star level name has been changed to High Mass Star level due to it being the more accurate name. To briefly explain, a star does not get a higher GBE via its size but its solar mass. So a star that’s visually smaller could actually have a greater GBE then a star that’s visually larger. Due to this, High Mass Star level was decided as the better naming convention as it covers the more scientifically accurate approach to stars.

Rigel A is used for High Mass Star level’s baseline.

The GBE formula is U = (3GM^2)/r(5-n)

(3*(6.67408×10^-11)*((1.989×10^30)*23)^2)/(((6.957×10^8)*78.9)*(5 - 3)) = 3.817x10^42 Joules

Solar System level

The baseline for Solar System level will be 10^44 joules as a supernova is the event that helped determine the composition of the Solar System 4.5 billion years ago, and may even have triggered the formation of this system.

Multi-Solar System level

For this, I’m using the Proxima Centauri b, an object in another solar system with the lowest distance, 4.2 light-years or 4.0×10^13 km.

W = Radius is meters^3*((27136*P+8649)^(1/2)/13568-93/13568)^2 Ground Explosion is W = 2e16^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

Which gives 2.69009227970323083e+54 Joules

Air Explosion is Y = ((4e13/0.28)^3)/1000

Which gives 1.21982507288629738e+55 Joules Seeing as air explosion is more likely, the air explosion end will be used.

Star Cluster level

For this, I will use the standard Star Cluster, which vary from 10 lightyears to 30 lightyears.

Obviously we'll use 10 lightyears.

W = Radius is meters^3*((27136*P+8649)^(1/2)/13568-93/13568)^2 Ground Explosion is W = 1.419e17^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

Which gives 9.60780936781443025e+56 Joules

Air Explosion is Y = ((2.838e+14/0.28)^3)/1000

Which gives 4.3566709033731776e+57 Joules

As with Multi-Solar System, air explosion end will be used.

Multi-Star Cluster level

This end is based off the largest globular star cluster in the milky way, Omega Centauri, which is 230 lightyears in size. W = Radius is meters^3*((27136*P+8649)^(1/2)/13568-93/13568)^2 Ground Explosion is W = 1.088e18^3*((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

Which gives 4.33075760994122948e+59 Joules

Air Explosion is Y = ((2.176e+15/0.28)^3)/1000

Which gives 1.96378643106705542e+60 Joules

As usual, air explosion end will be used.

Galaxy level

The milky way has a diameter of 100,000 light years.

W = Radius is meters^3*((27136*P+8649)^(1/2)/13568-93/13568)^2 Ground Explosion is W =(4.73037e+17)^3^3((27136*1.37895+8649)^(1/2)/13568-93/13568)^2

Which gives 3.55928304850179167e+58 Joules

Air Explosion is Y = ((9.46073e+17/0.28)^3)/1000

Which gives 1.6139553907864126e+68 Joules

Now because the ground explosion value is ridiculously lower and causes a really small gap between Multi-Solar System and Galaxy, and to add on, an omnidirectional explosion of a galaxy would in most cases be an air explosion, we’ll use that end.

Multi-Galaxy level

Distance between two galaxies is about one million light years.

So 4.730365e18 km or 4.7303650000000002e21 meters

Ground Explosion is

W = 4.7303650000000002e21^3((27136*1.37895+8649)^(1/2)/13568-93/13568)^2= 8.5068636759790525831e60 Tons of TNT or 3.5592717620296359e70 Joules

Air Explosion is Y = ((9.46073e18km/0.28)^3)/1000 = 3.8574459626826303617e55 Megatons of TNT or 1.6139553907864124e71 Joules Same thing as the above, air explosion end will be used.

Galaxy Cluster level

Based on the size of the Virgo Cluster, which is the cluster our galaxy is a part of.

15,000,000 lightyears

Air Explosion is

Y = ((1.41910957e20km/0.28)^3)/1000 = 1.3018882050589469621e59 Megatons of TNT or 5.44710024996663383e+74 Joules

Supercluster level

Based off of the Virgo Supercluster, which the Virgo Cluster and subsequently our galaxy are a part of.

110,000,000 lightyears

Air Explosion is

Y = ((1.040680352e21/0.28)^3)/1000 = 5.1342613459662606035e61 Megatons of TNT or 2.14817494715228329e77 Joules

Multi Supercluster level

Superclusters tend to be hundreds of millions of lightyears away from each other, with a source giving us 55 megaparsecs as an average, which is equivalent to 179,386,008 light years. Assuming both superclusters are the size of the virgo supercluster, the combined distance would be about 400,000,000 lightyears. Another way to set the bar for the tier is 1,200,000,000 lightyears, as it is the theoretical size limit for cosmic structures as predicted by the cosmological principle (although there are observed structures that seem to surpass this). Due to this, we'll be using the 1.2 billion lightyears end. The high end for this tier is infinite space. The source for distance is here.

Air Explosion is

Y = ((1.1352876567e22/0.28)^3)/1000 = 6.6656676222316368516e64 Megatons of TNT or 2.78891533314171681e80 Joules