A more detailed explanation for the density calculations of the Minecraft world, as promised: > On average, a Minecraft world is made up of 3 layers of deepslate, 66 layers of deepslate, 60 layers of stone, and 5 layers of dirt., for a total of 134 layers. > If we divide each of these layer heights by 134, the average total number of layers, we find that the Minecraft world is, on average, 2.24% bedrock, 49.2% deepslate, 44.78% stone, and 3.73% dirt. (Yes, the stone and deepslate layers have a lot of caves, but we'll account for those later.). Converting these to percentages removes the need to convert blocks to meters, as we have removed the units all together. > There are other materials that we did not account for like all the different stone types or the ores, and also different biomes will have different densities. As an example, the mountains will be far more dense, as they're made largely of stone, than the deserts, which are made mostly of less dense sand. However, as the density of the Minecraft world is so low compared to it's size, any deviations here will have virtually no impact on the final result. In reality, we could be off by several thousand kg/m^3 and you would barely be able to tell in the final result > Real world bedrock has a density of 2650 kg/m^3, and dirt has a density of 1400 2650 kg/m^3. Deepslate is not a real mineral on earth, but based on it's appearance and name it seems to be based on the rock Slate, which has a density of 2691 2650 kg/m^3. > We never get confirmation on what type of stone the Minecraft stone is, but based on the fact that it can be created by rapidly cooling lava we know it must be a type of Igneous rock. Based on it's gray color and the fact that it can easily be made into tools, the most likely candidate is Rhyolite, which has a density of 2500 2650 kg/m^3. > The stone and deepslate layers are not solid all the way through, the naturally generated caves make them quite pourous. Based on my research about 20% of these layers seem to be caves, so to account for this we need to multiply the density of our stone and deepslate by .8. > If we multiply every material's density by it's percentage of the world, essentially taking a weighted average, as such: p = 2691*.492*.8+2500*.8*.4478+1400*.0373+2650*.0224 We find that the Minecraft world has an average density of 2033.357 2650 kg/m^3! As I said, this is admittedly a very rough estimate, but really calculating it is more of a formality in this case, as it's impact on the final result of the block size is tiny compared to the gravity or radius.
This was fun to watch ! Hey just for fun could you boot up minecraft and do the following ? 1/ Place near the top of the world 4 sticky pistons in a row, with a block for each of them 2/ Using some redstone dust make them all extend 3/ On the blocks place : yourself, an arrow pointing down, an item and a gravity block. 4/ Make all the pistons retract at the same time 5/ Figure out what voodoo fuckery is at play here
And what if minecraft world is infinite plane? I mean in this case gravitational force still would be directed straight down at any point of measurement with small fluctuations of value due density differences. How would calculations work in this case? (Yep, i know that it would require more "fun" math with integral over surface, but for the sake of rigorous approach -- why not?)
So, fun fact: Minecraft canonically has a completely different physics system then our own reality, as explained in the novels Minecraft: The Island and Minecraft: The Mountain. Any real world equations would be completely unusable. g might not even be g.
You COULD calculate the density of the atmosphere by comparing falling through water and air as we are certain of water's density (plus or minus minerals and mud in the water)
The amount of air present in the Minecraft world would be 384 blocks up at most. although the density doesn't change according to the depth, the same issue goes with water. therefore we can never tell how far under water we actually are. I would say a decent way to try to figure this out is the speed of light. Figure out the maximum speed you can travel in Minecraft. if it takes 0 frames to teleport you could say its instant. And the issue is solved, that would mean the blocks are infinitely small. If not then... I don't even want to think about it. Relative time depending on the mass of the planet, the possibility that time traveled wouldn't change over distance traveled. Meaning that the entire Minecraft world would just be a certain size and you technically wouldn't move around on it?... Meaning its not real but potentially a computer simulation. you could take it further and then calculate the time it takes to fetch certain parts of the world. This could, if you map the other processes, reveal how far the data has to gravel trough memory and the motherboard/wiring revealing the true size of Minecraft and how far away it is from you.
Quick clarification on 1 point that I didn’t make super clear in the video. I’m not proposing that the Minecraft world as it exists in the game is spherical. In the actual programming of the game itself, yes, the world is just a flat rectangle. However, that shape does not match up with how real gravity works, so I needed to change the shape for the calculations to work. I decided to keep the surface are the same (even though it’s technically impossible to cover a sphere with a square perfectly) because that was the best way to keep the measurements consistent. So yes, the Minecraft world is technically flat, but in order for it to actually exist it would need to be round.
It would, actually. And assuming that border in the Minecraft world only exists for technical reasons (so the game doesn’t bug out or something like that), the rest of it is theoretically infinite. Which in turn makes it a bit more complicated to calculate the gravitational force, but not impossible.
sand is one of the only 1 square meter objects that CAN fall XD only other things like that that isnt an anvil or a dragon egg... is other blocks made of tiny rocks.
But you forgot something... The Minecraft world DOES actually have air; Any empty space where any other blocks could otherwise exist is set to "Block.Minecraft.Air" or "block.minecraft.cave_air", wich mean there is actually air in minecraft.
Hell no! If it were a cube, you'd feed gravity weaken and shift when you approached the edges or points, and yet that doesn't happen! Ergo, the world is round.
@@TheChiptide minecraft world is flat. The sun and moon and stars literally revolve around the minecraft world. Stars dont move with the moonin real life so the skybox is literally revolving around the world.
Maybe the Minecraft planet is not completely hollow. Maybe the nether sits in the middle as the core of the planet but with lower mass making some gravity field but not destroying the crust. Because if you travel in the nether and use a portal you will travel further in the overworld, meaning it’s a smaller size. You would need to check the gravity there as well
I actually really like that theory! Depending on how far down it would be, the gravity might not even be that different, I’d have to do the math though
I'm going to guess it's exactly 1 yard in length. Not because I have any reason to believe that but because I think it's funny to imagine a metric centered game in a mostly metric centered world accidentally using an imperial measurement.
According to my calculations, Minecraft block is 0.65 meters. I used very scientific and accurate methods called “eyeballing it” and “yeah that feels about right”.
Ooh, that’s a good idea actually! You’d probably need a couple different observation points to really see the arc, but that would probably be a better way to find the gravity
I’m excited for this video! I’ve always wondered this since the first time I played Minecraft VR and realized jumping from just three blocks high was daunting.
That's an interesting thought, I forgot that TNT has it's own unique physics! You totally could do that, though if I had to guess you'd get a totally different number. I've seen some people do something similar with the arc of arrows and found that they have completely different physics from blocks, but maybe because TNT is technically still a block it would work out better
I was halfway through this video before I realised this is from a tiny channel, but the production and entertainment quality is off the scale. Amazing stuff
You wouldn't believe the number of times I try to point to something that I'll edit in later in post, and end up pointing at a spot that makes absolutely zero sense...
Here's a bizare thought. If the Minecraft world could basically be a literal sandbox game, what if every minecraft would just takes place in an actual sandbox. I might sound high but for some reason it sounds like perfect sense to me
I've also heard a theory that I like that states that the nether is the center of the minecraft world. Here's why that would make sense: One: Travelling one block in the nether is equal to traveling 8 blocks in the overworld. Why is that important? Well, say you somehow walked around the earth's core. To the surface, you would have travelled a larger distance because of how spheres work. Two: Below the bottom layer of the overworld is a void that _seems_ forever. What is above the top of the nether? The same void. According to this theory, the reason you need a nether portal to travel to the nether is because of the incredibly large void that deals damage to you. This theory would also help the equations because the minecraft world would have a center instead of just being hollow.
you hit terminal velocity no matter how high up you are which means the minecraft planet has an infinite atmosphere which also means it has INFINITE MASS (which also explains why gravity doesn't decrease the higher you go but what)
I love the similarity to Game Theory. People often have the mindset of 'ugh you are trying to copy X UA-camrs style shame on you' Instead people should appreciate this more. Because if a youtuber you like suddenly disappears, you are glad that there are people out there which use a similar style.
There has to be some sort of atmosphere, because Steve needs air to keep from drowning and the water evaporates and recondenses as rain. I think that all the problems you're having with calculating this proof are due to the arbitrary disproportions of a cartoon world under cartoon physics. Think of it like the train station void in The Matrix Revolutions. It has enough variables to be a world that you can exist in, but not enough to be more than that.
The center of gravity of an infinite plane is an infinite plane. As such, it still makes sense that Minecraft is flat. The radius would instead be the distance from that plane at a given point.
So many people try to apply real world physics to a game where you literally can have a floating castle, trees don’t fall, and there’s exploding monsters that have depression.
That's the real secret, when you're not being forced to memorize a bunch of dumb equations and do tedious calculations by hand, Math and Science actually aren't too bad!
A few corrections: 1. The terminal velocity of falling sand in minecraft is not 40 blocks per second, it's 78.4 blocks per second. 2. The minecraft world is obviously not a sphere, it's a flat plane that is accelerating upwards, and this acceleration just makes it look like there's gravity, because of the equivalence principle from general relativity. Naive empirical tests suggests the acceleration is 1.6 blocks/s^2. 3. For the density of minecraft sand and the density of minecraft air you cannot use real world values of sand or air density. One can prove that the density of minecraft sand is exactly equal to the density of minecraft air by the following argument: Falling sand has the same terminal velocity when it's falling through air as when it is falling through water. This proves that air and water have the same density in minecraft. Using commands you can create a falling water entity. In version 1.12.2 it is even possible to create it in survival using glitches. The falling water entity has the same terminal velocity as a falling sand entity. This proves that water and sand have the same density in minecraft. Therefore air and sand have the same density in minecraft. In the terminal velocity formula we can therefore cancel out the sand and air density and just have m/rho = block^3. We therefore get 78.4 block/s = sqrt(2 * block^3 * 1.6 block / s^2 * block^2 * 1.05 ) = sqrt(2) * 1.234 block/s This implies 2 = ( 78.4 / 1.234 )^2 = 63.533 proving that the number 2 has a different value in minecraft. So your assumption that 2 is the same thing in minecraft as in the real world is wrong. You should have taken that into account.
A hollow earth would have no gravity inside btw, think shell thm. Either it gets its gravity from a core deep inside it or space is warped more and more the deeper in the void, maybe the void is a black hole explaining why its dark from the lower half
13:58 Gravity would not weaken. It would actually increase. At the center most of the forces cancel out. Just like if you were at the center of Earths core, you would actually float. So at spawn the gravity of the Minecraft world would be close to 0m/s^2.
You can see in 4k with turtle Master potion to reduce the FOV and 30 FOV setting, and see single pixels detail at the edge of render distance and simultaneously read a map. It's optically impossible for Minecraft blocks to be any less than a bit under a meter in size.
I didn’t explain it super well in the video, but what I did was divide all the layer heights by the total world height of 134 to get a unitless percentage of each block type, then multiplied those by the density of each block type to get the final density
Welp, I finally found someone who is psychotic enough for a challenge. I've been playing a bit of an indie title known as Mindustry, got several thousand hours in it, but there's been one problem I've had with the game, what is the size of a tile?! So this is your challenge, find the scale of Mindustry. So, fyi though, we have no clue about the vertical axis, so things like ingot growth for silicon or pines cannot be used to define scale.
Did you use the real world weight of materials such as sand despite Minecraft's gravity being different? Also did you work out each figure independently to see if they were realistic? Also did you assume Minecraft stops at the world boarder despite a square not being possible to be curved into a sphere? Also why would you assume the void is just empty space and not some weird core in the Minecraft world? I could go on.
I used the mass and density of the real world materials, which are both independent of the force of gravity. Each figure is almost certainly not realistic, the final result isn’t even realistic, this was more just a fun thought experiment trying to see the real world implications of the wacky physics in the game.
@@amansson2151 Apparently you don't know the difference between mass and weight too. Density: Mass compared to volume Mass: How much there is Weight: Force of mass under gravity
Someone else gave an idea for how you could estimate air density, so here's one for estimating the surface gravity. Assume the world is an infinite plane and calculate the average mass of a column of blocks. Then you can use gauss' law, but change the electric force to gravity. Some rationalizations are that within the game, the world we experience is flat, so if it is a sphere, there must be a far larger portion of it that we don't see. It also seems to be flat in the far lands, so it may just be infinite, but limited by our computing tech. Plus, to the best of my knowledge, the gravitational acceleration doesn't change with height, which agrees with an infinite plate.
Heres a thought; The void below bedrock could be a blackhole. If so mojang needs to make pitch black like a black hole lol. The Nether and End however being diffrent dimensions (well thats hard to tell if they are the same size, but the nether is shorter distance then the overworld due to a particular feature involving portal linking where every block in the nether equals three blocks in the overworld, so the nether size for blocks would be one/third assuming that the math would be correct, meaning you change size to be one/third of your size in the overworld while you are in the end-talk about making size relative-then there is even more difficulty with the end because the end should have NO AIR, but has you fall at the same rate, and on top of that:no portal linking to help figure out how big you are in the End)
You cannot assume that gravity on Earth is the same as gravity in Minecraft. You also cannot assume that water in Minecraft has the same density as water on Earth.
I’m not sure if you intentionally left it out or if you forgot, but from what we can deduce, the nether is inferred to be directly beneath the bedrock layer of the over world. Which could change up a lot of the calculations when accounted for.
The world technically goes past the border and we know it doesn't just repeat, what if it's so big that the gravitational drop off/angle change is negligible? I'd suggest using the speed of light in the game but even if there were photons, you really can't trust any constants of nature
No, I just picked a random air density at the end to get it to equal 1 for the big reveal. In reality, they almost certainly chose the fall speed and terminal velocity to suit the gameplay without any thought for real-world physics (which, to be clear, is what the should have done), and chose 1 meter for the block length to make the stats easy to calculate. Although I have no doubt that the devs are far smarter than I!
I always thought Steve was a short person due to the thickness of his arms compared to his body, making him a hobbit of sorts which I think fits the fantasy asthetic of Minecraft! So to just throw a ballpark figure out there, I personally think the Minecraft block is roughly half a metre, so a real life man is probably under 4 blocks tall.
Plants in minecraft is green so I would say that to assume the density of minecraft air is the same as earth air is not compleatly off. Air on earth is mostly nitrogen, and chlorophyl is partially made of nitrogen, and chlorophyl is green.
8:46 you ASSUMED, thats where you messed up you should have had it as another variable 12:43 what about outside the borders? theres more outside and also quick side note about density, whouldnt it be more dense or less dense from gravity? would it not be more dense if its on a plannet with more gravity than earth? would it not be less dense if it was on a planet with les gravity than earth? oh yea and what version are you talking about? pre 1.17 has WAY less caves but is alot smaller cause its half the size BUT post has more bigger caves and is double the size so which one are you talking about and which is more dense on average? 15:33 again, past the borders? 20:09 wow, cant believe it, i just wasted 20+ minutes of my life for you to figure out that they actually tried to make it realistic
so a) it's almost as though the physics is arbitrary but b) a better estimate is that one block is about a foot, meaning Steve is only a couple of feet high. I wonder what the pesuasive math would be for 1 block to == 1 inch. I'm curious now.
You can try figure out Minecraft scale by the blocks. I would say a block is slightly less than a meter. More like 2 ft. Why Minecraft builders often build larger than 1:1 for player scale builds.
Yeah, it's not a perfect assumption, but when applying physics to a game where the devs chose speeds and sizes arbitrarily to suit the gameplay there's only so much you can do!
That 60 million figure isn't entirely accurate as it's only the size of the world border, but as anyone who's ever been there before knows, the world actually continues well past this border.
I did this equation but assumed the size of a block is one meter, and calculated how dense the air would need to be. Turns out, following all other assumptions, the density of air in Minecraft is 4.55625 x 10^19, which is more than 100 times the density of a neutron star. We can therefore calculate the mass of the Minecraft world by adding the mass of everything that isn't air to the mass of everything that is air, which gives us a mass of 3.05086500000000000074376×10^37 kilograms. This is 15,254,325 time the mass of the sun, or about 3.567 times the mass of the supermassive black hole at the center of our galaxy. Perhaps it is a good thing that blocks are 345.5 nanometers.
Soooo, math is irrefutable, I agree with that, but if gravity is currently undefined, then air density will change radically. Any change is air density changes drag coefficent based on air density. If you push really hard with all formulas into base form, then the result would have changed drastically.
You can actually have a flat/disk world with equal gravity across the surface. Granted it would be artificial and require alot of energy but it is a thing in science fiction and is as possible as hollow/sheild planets. It would work the same why as artificial gravity on an O'Neil cylinder would. I think Austin on The Science covered the concepts of Minecraft being a disk world in the past with some interesting resultes.
@marsgreekgod up in relation to the surface of the disk. It could be accelerating on its side around the galaxy. And while not forever, you could do it for millions, if not billions of years. It'll be incredibly energy inefficient compared to Sheild worlds or O'Neil cylinders.
@@marsgreekgod Yes, but it wouldn't work indefinitely, as you approach the speed of light the world would start to feel the effects of relativity, and the energy required to continue the acceleration would start growing exponentially.
The Minecraft world isn't a planet in the conventional sense, it's not even a cube, it's, as stated by the superior beings at the credits' speech, "flat and infinite". The physics simply don't work like in our world, there is no gravity, but rather an universal "down force" that affects everything no matter where on the infinite plane they stand. Which is why things like falling sand, mobs and arrows fall at different intervals, it's an entirely different law.
Whilst calculating the mass of the minecraft world, you assumed that each block was a meter cubed, the very thing you were trying to disprove. That's probably why you got 1 meter cubed at the end.
I did a bad job of explaining it in the actual video, but if you read the pinned comment you'll see that I actually used percentages when finding the density, so the units were irrelevant. Should have made that more clear!
@@TheChiptide I see. I'm sorry, that's on me for not checking. Although, wouldn't the fact that a minecraft world is relatively thin mean that you are being pulled at the sides by gravity as well as down?
Technically in minecraft lore the neither neither is below the overworld since its minecrafts hell but below the niether is just a void but above the neither is also void so there is a void gap between the overworld and the neither which makes sense since moving 1 block in the neither is like moving 8 blocks in the overworld i think, and the end dimension is wierd it can be below the neither, or between the overworld and the neither, or above the overworld which is space or it can be in just a whole different dimension, where ever the end dimension it is, minecraft is still a hallow earth.
If the air got striped away from the planet, then terminal velocity would not exist, perhaps instead of a hollow earth, the void is instead a massive pocket of a substance like air below the surface.
How do we know if the block of sand was falling for 1 sec as time in minecraft is measured in ticks while some games like xenoblade have a 24 hr clock where 1 min in game is 1 irl sec
Another way you could try to calculate how big the blocks are is to find the average size of the animals in Minecraft pigs cows chickens sheep dolphins fish rabbits and then compare the size of the blocks to them
Minecraft border != the end of the world. You literally can go up to it and see that it continues on. if you go past the border then it continues generating for a fairly long time, thought at some points everything starts falling apart.... but a normal player will never get to that point. If we assume that its an infinite plane, then the gravity wouldnt get weaker to the sides of it, it would allways point straight down. Its a better assumption then just wrapping the world from border to border around a sphere. --- Also assuming same density as its IRL for every material isnt a good assumption. Its basically as faulty as just saying "lets assume g = 9.8" or even "lets assume that the blocks are 1 meter in lenght". Assigning random baseless numbers to physical values. --- Still a fun video thought.
A more detailed explanation for the density calculations of the Minecraft world, as promised:
> On average, a Minecraft world is made up of 3 layers of deepslate, 66 layers of deepslate, 60 layers of stone, and 5 layers of dirt., for a total of 134 layers.
> If we divide each of these layer heights by 134, the average total number of layers, we find that the Minecraft world is, on average, 2.24% bedrock, 49.2% deepslate, 44.78% stone, and 3.73% dirt. (Yes, the stone and deepslate layers have a lot of caves, but we'll account for those later.). Converting these to percentages removes the need to convert blocks to meters, as we have removed the units all together.
> There are other materials that we did not account for like all the different stone types or the ores, and also different biomes will have different densities. As an example, the mountains will be far more dense, as they're made largely of stone, than the deserts, which are made mostly of less dense sand. However, as the density of the Minecraft world is so low compared to it's size, any deviations here will have virtually no impact on the final result. In reality, we could be off by several thousand kg/m^3 and you would barely be able to tell in the final result
> Real world bedrock has a density of 2650 kg/m^3, and dirt has a density of 1400 2650 kg/m^3. Deepslate is not a real mineral on earth, but based on it's appearance and name it seems to be based on the rock Slate, which has a density of 2691 2650 kg/m^3.
> We never get confirmation on what type of stone the Minecraft stone is, but based on the fact that it can be created by rapidly cooling lava we know it must be a type of Igneous rock. Based on it's gray color and the fact that it can easily be made into tools, the most likely candidate is Rhyolite, which has a density of 2500 2650 kg/m^3.
> The stone and deepslate layers are not solid all the way through, the naturally generated caves make them quite pourous. Based on my research about 20% of these layers seem to be caves, so to account for this we need to multiply the density of our stone and deepslate by .8.
> If we multiply every material's density by it's percentage of the world, essentially taking a weighted average, as such:
p = 2691*.492*.8+2500*.8*.4478+1400*.0373+2650*.0224
We find that the Minecraft world has an average density of 2033.357 2650 kg/m^3!
As I said, this is admittedly a very rough estimate, but really calculating it is more of a formality in this case, as it's impact on the final result of the block size is tiny compared to the gravity or radius.
what's with saying dirt has a density of 1400 2650? or slate being 2691 2650? copy pasting error?
This was fun to watch !
Hey just for fun could you boot up minecraft and do the following ?
1/ Place near the top of the world 4 sticky pistons in a row, with a block for each of them
2/ Using some redstone dust make them all extend
3/ On the blocks place : yourself, an arrow pointing down, an item and a gravity block.
4/ Make all the pistons retract at the same time
5/ Figure out what voodoo fuckery is at play here
And what if minecraft world is infinite plane?
I mean in this case gravitational force still would be directed straight down at any point of measurement with small fluctuations of value due density differences.
How would calculations work in this case?
(Yep, i know that it would require more "fun" math with integral over surface, but for the sake of rigorous approach -- why not?)
🤓☝️
If chiptide was a teacher I would listen
So, fun fact: Minecraft canonically has a completely different physics system then our own reality, as explained in the novels Minecraft: The Island and Minecraft: The Mountain. Any real world equations would be completely unusable. g might not even be g.
i just told someone about the earth being round and your saying im most likely wrong and it IS a cube?
I think my only thing is "I get it, buy why? XD"
based on the new star wars DLC, the minecraft world IS INDEED a cube@@TylerTMG
Is it ğ?
Isn’t gravity canonically way stronger in Minecraft
Lore accurate block size: 1 meter. Mathematical accurate block size:*entire video* 1.00 meters
You didn't read the ending notes, did you? 20:20
You COULD calculate the density of the atmosphere by comparing falling through water and air as we are certain of water's density (plus or minus minerals and mud in the water)
Oooh, yeah, that’s a really good way to do it, actually!
The amount of air present in the Minecraft world would be 384 blocks up at most. although the density doesn't change according to the depth, the same issue goes with water. therefore we can never tell how far under water we actually are. I would say a decent way to try to figure this out is the speed of light. Figure out the maximum speed you can travel in Minecraft. if it takes 0 frames to teleport you could say its instant. And the issue is solved, that would mean the blocks are infinitely small. If not then... I don't even want to think about it. Relative time depending on the mass of the planet, the possibility that time traveled wouldn't change over distance traveled. Meaning that the entire Minecraft world would just be a certain size and you technically wouldn't move around on it?... Meaning its not real but potentially a computer simulation.
you could take it further and then calculate the time it takes to fetch certain parts of the world. This could, if you map the other processes, reveal how far the data has to gravel trough memory and the motherboard/wiring revealing the true size of Minecraft and how far away it is from you.
Quick clarification on 1 point that I didn’t make super clear in the video. I’m not proposing that the Minecraft world as it exists in the game is spherical. In the actual programming of the game itself, yes, the world is just a flat rectangle. However, that shape does not match up with how real gravity works, so I needed to change the shape for the calculations to work. I decided to keep the surface are the same (even though it’s technically impossible to cover a sphere with a square perfectly) because that was the best way to keep the measurements consistent. So yes, the Minecraft world is technically flat, but in order for it to actually exist it would need to be round.
Wouldn't an infinite plane also have gravity always point down?
It would, actually. And assuming that border in the Minecraft world only exists for technical reasons (so the game doesn’t bug out or something like that), the rest of it is theoretically infinite. Which in turn makes it a bit more complicated to calculate the gravitational force, but not impossible.
Are you ignoring the fact that the terminal velocity of not just sand, but *every* block, including solid iron anvils, is the same in Minecraft?
sand is one of the only 1 square meter objects that CAN fall XD only other things like that that isnt an anvil or a dragon egg... is other blocks made of tiny rocks.
And some blocks just don’t fall anyways
@@-Atme It ruins every physic calculations in this vid...
@@JSheerXeno54gravel also falls?
@@allengrove1864 read my reply again. I might not specifically mention gravel, but I do allude to it
But you forgot something... The Minecraft world DOES actually have air; Any empty space where any other blocks could otherwise exist is set to "Block.Minecraft.Air" or "block.minecraft.cave_air", wich mean there is actually air in minecraft.
There's also void_air, which just straight up kills you these days.
Yeah but we dont know the density of the air
Minecraft developer confirmed the Minecraft Planet is a cube. But can you trust them?
Hell no! If it were a cube, you'd feed gravity weaken and shift when you approached the edges or points, and yet that doesn't happen! Ergo, the world is round.
@@TheChiptideI mean, we never really hit the edge of the world, maybe the world is a giant infinite block?
@@TheChiptide minecraft world is flat. The sun and moon and stars literally revolve around the minecraft world. Stars dont move with the moonin real life so the skybox is literally revolving around the world.
@@boyhowdy682game theory says its round
@@boyhowdy682so its round
Maybe the Minecraft planet is not completely hollow. Maybe the nether sits in the middle as the core of the planet but with lower mass making some gravity field but not destroying the crust. Because if you travel in the nether and use a portal you will travel further in the overworld, meaning it’s a smaller size. You would need to check the gravity there as well
I actually really like that theory! Depending on how far down it would be, the gravity might not even be that different, I’d have to do the math though
@@TheChiptide don't forget that one block in the nether is 8 in the over world, so uhh yea
@@greywolf9783 which would make sense if the nether was under the over world since it's on a smaller radius
everyone i know loves that theory, even i do... but i think Mojang confirmed somewhere it wasnt the case.
@@TheChiptideits actually confirmed by guidebooks
This video is just layers upon layers of "why would you even remotely think you can make that assumption?"
"It doesn't make sense but numbers don't lie"
That idea is what made Matpat say Wario is 10 feel tall
I'm going to guess it's exactly 1 yard in length.
Not because I have any reason to believe that but because I think it's funny to imagine a metric centered game in a mostly metric centered world accidentally using an imperial measurement.
You know what, I’m actually so here for that, take those metric snobs down a peg or two!
According to my calculations, Minecraft block is 0.65 meters. I used very scientific and accurate methods called “eyeballing it” and “yeah that feels about right”.
By using the same method, according to my calculations, the minecraft block is actually 0.6942936204729372937292739274748836291010833773 meters 🤓☝️
Woah, I didn’t know it was possible to achieve such accuracy with these methods, props to you man
Nobody asked your face reveal @@Checkado
so closer to 2 feet. i felt that was about right too. measured out 3 feet on my desk and it just felt off
Technically, couldn't you use Arrows somehow? They atleast accelerate more normally when shot up, forming a parabula shape
Ooh, that’s a good idea actually! You’d probably need a couple different observation points to really see the arc, but that would probably be a better way to find the gravity
I’m excited for this video! I’ve always wondered this since the first time I played Minecraft VR and realized jumping from just three blocks high was daunting.
@@Dennis23_12 nope, just one meter, and I broke both my leg and back at the same time. 0/10, would not recommend.
@@PartyBoxGamerhow?
@@PartyBoxGamer Amateur. I did at least 1.5 meters as a kid and was fine. (But seriously, ouch!)
@@SupersuMC Lol nice! I guess I just have higher fall damage settings on 😂
Could TNT blocks and TNT cannons be used to determine how gravity works in the game as well?
That's an interesting thought, I forgot that TNT has it's own unique physics! You totally could do that, though if I had to guess you'd get a totally different number. I've seen some people do something similar with the arc of arrows and found that they have completely different physics from blocks, but maybe because TNT is technically still a block it would work out better
I was halfway through this video before I realised this is from a tiny channel, but the production and entertainment quality is off the scale. Amazing stuff
...TINY CHANNEL???? THIS IS _THE_ MATHS APPLIED TO GAMES CHANNEL. WHAT.
This guy is just Matpat from 2011 before going crazy and off the deep end from FNAF
The idea that you are looking back at a blank wall when recording as if its your math board is hilarious
You wouldn't believe the number of times I try to point to something that I'll edit in later in post, and end up pointing at a spot that makes absolutely zero sense...
Here's a bizare thought. If the Minecraft world could basically be a literal sandbox game, what if every minecraft would just takes place in an actual sandbox. I might sound high but for some reason it sounds like perfect sense to me
I've also heard a theory that I like that states that the nether is the center of the minecraft world. Here's why that would make sense: One: Travelling one block in the nether is equal to traveling 8 blocks in the overworld. Why is that important? Well, say you somehow walked around the earth's core. To the surface, you would have travelled a larger distance because of how spheres work. Two: Below the bottom layer of the overworld is a void that _seems_ forever. What is above the top of the nether? The same void. According to this theory, the reason you need a nether portal to travel to the nether is because of the incredibly large void that deals damage to you. This theory would also help the equations because the minecraft world would have a center instead of just being hollow.
you hit terminal velocity no matter how high up you are which means the minecraft planet has an infinite atmosphere which also means it has INFINITE MASS (which also explains why gravity doesn't decrease the higher you go but what)
You forgot to account for the hollow void in the center of the minecraft world when calculating the density.
I love the similarity to Game Theory. People often have the mindset of 'ugh you are trying to copy X UA-camrs style shame on you' Instead people should appreciate this more. Because if a youtuber you like suddenly disappears, you are glad that there are people out there which use a similar style.
in a world where everything is a cube, why wouldn't gravity be a cube
There has to be some sort of atmosphere, because Steve needs air to keep from drowning and the water evaporates and recondenses as rain. I think that all the problems you're having with calculating this proof are due to the arbitrary disproportions of a cartoon world under cartoon physics. Think of it like the train station void in The Matrix Revolutions. It has enough variables to be a world that you can exist in, but not enough to be more than that.
The center of gravity of an infinite plane is an infinite plane. As such, it still makes sense that Minecraft is flat. The radius would instead be the distance from that plane at a given point.
So many people try to apply real world physics to a game where you literally can have a floating castle, trees don’t fall, and there’s exploding monsters that have depression.
I feel bad for your friends, if you have any that is.
@@I_Dont_Believe_In_Salad Would you like an egg?
If only Physics and Math classes were as interesting and fun as this😭
That's the real secret, when you're not being forced to memorize a bunch of dumb equations and do tedious calculations by hand, Math and Science actually aren't too bad!
A few corrections:
1. The terminal velocity of falling sand in minecraft is not 40 blocks per second,
it's 78.4 blocks per second.
2. The minecraft world is obviously not a sphere, it's a flat plane that is accelerating upwards,
and this acceleration just makes it look like there's gravity, because of the equivalence principle from general relativity.
Naive empirical tests suggests the acceleration is 1.6 blocks/s^2.
3. For the density of minecraft sand and the density of minecraft air you cannot use real world values of sand or air density.
One can prove that the density of minecraft sand is exactly equal to the density of minecraft air by the following argument:
Falling sand has the same terminal velocity when it's falling through air as when it is falling through water.
This proves that air and water have the same density in minecraft.
Using commands you can create a falling water entity. In version 1.12.2 it is even possible to create it in survival using glitches.
The falling water entity has the same terminal velocity as a falling sand entity.
This proves that water and sand have the same density in minecraft.
Therefore air and sand have the same density in minecraft.
In the terminal velocity formula we can therefore cancel out the sand and air density and just have m/rho = block^3.
We therefore get
78.4 block/s = sqrt(2 * block^3 * 1.6 block / s^2 * block^2 * 1.05 ) = sqrt(2) * 1.234 block/s
This implies
2 = ( 78.4 / 1.234 )^2 = 63.533
proving that the number 2 has a different value in minecraft.
So your assumption that 2 is the same thing in minecraft as in the real world is wrong.
You should have taken that into account.
This is like the guy who took 600 pages to prove 1+1=2
Principia mathematica is a banger
Using this, we can find out a minecraft world is about 23 meters long
a pretty sizeable sandbox!
I can't believe I haven't come across this channel until now. It's like Game Theory back when Game Theory was still good.
WAKE UP BABE NEW CHIPTIDE JUST DROPPED
Fun fact, Austin from Shoddycast has actually proven it's possible for a Minecraft world to be flat and have normal gravity
A hollow earth would have no gravity inside btw, think shell thm. Either it gets its gravity from a core deep inside it or space is warped more and more the deeper in the void, maybe the void is a black hole explaining why its dark from the lower half
"How big is a minecraft block?"
"Mojang said it's 1 meter"
"Nah it's actually more like 0.0000003455 of a meter, I did the math"
22*10^40 seems pretty specific
Whaaaaaat? No, I totally didn't guess and check a bunch of small numbers to get X equal to 1 for the sake of the joke...
@@TheChiptide no, that'd be crazy, who on earth has time for that?
13:58 Gravity would not weaken. It would actually increase. At the center most of the forces cancel out. Just like if you were at the center of Earths core, you would actually float. So at spawn the gravity of the Minecraft world would be close to 0m/s^2.
Now he should talk about the void how on earth does that work
Shoddycast and chiptide would be a crazy crossover
15:15 ok ok its enough HAHHA
You can see in 4k with turtle Master potion to reduce the FOV and 30 FOV setting, and see single pixels detail at the edge of render distance and simultaneously read a map. It's optically impossible for Minecraft blocks to be any less than a bit under a meter in size.
And also optically impossible for the default skin's pupils to be under like 7 or 8 mm, or larger than 1/128th of a block.
If they were 345 nm in size the entire screen should just be flashes of single photon color with no ability to tell what direction it came from.
Aren't you assuming that the blocks are 1m³ in volume at 12:10?
I didn’t explain it super well in the video, but what I did was divide all the layer heights by the total world height of 134 to get a unitless percentage of each block type, then multiplied those by the density of each block type to get the final density
Welp, I finally found someone who is psychotic enough for a challenge. I've been playing a bit of an indie title known as Mindustry, got several thousand hours in it, but there's been one problem I've had with the game, what is the size of a tile?! So this is your challenge, find the scale of Mindustry.
So, fyi though, we have no clue about the vertical axis, so things like ingot growth for silicon or pines cannot be used to define scale.
Did you use the real world weight of materials such as sand despite Minecraft's gravity being different?
Also did you work out each figure independently to see if they were realistic?
Also did you assume Minecraft stops at the world boarder despite a square not being possible to be curved into a sphere?
Also why would you assume the void is just empty space and not some weird core in the Minecraft world?
I could go on.
I used the mass and density of the real world materials, which are both independent of the force of gravity. Each figure is almost certainly not realistic, the final result isn’t even realistic, this was more just a fun thought experiment trying to see the real world implications of the wacky physics in the game.
@@TheChiptide I didn't realise there was a difference between density and weight. Thank you for clarifying.
@@amansson2151 Apparently you don't know the difference between mass and weight too.
Density: Mass compared to volume
Mass: How much there is
Weight: Force of mass under gravity
Someone else gave an idea for how you could estimate air density, so here's one for estimating the surface gravity. Assume the world is an infinite plane and calculate the average mass of a column of blocks. Then you can use gauss' law, but change the electric force to gravity. Some rationalizations are that within the game, the world we experience is flat, so if it is a sphere, there must be a far larger portion of it that we don't see. It also seems to be flat in the far lands, so it may just be infinite, but limited by our computing tech. Plus, to the best of my knowledge, the gravitational acceleration doesn't change with height, which agrees with an infinite plate.
Heres a thought; The void below bedrock could be a blackhole. If so mojang needs to make pitch black like a black hole lol.
The Nether and End however being diffrent dimensions (well thats hard to tell if they are the same size, but the nether is shorter distance then the overworld due to a particular feature involving portal linking where every block in the nether equals three blocks in the overworld, so the nether size for blocks would be one/third assuming that the math would be correct, meaning you change size to be one/third of your size in the overworld while you are in the end-talk about making size relative-then there is even more difficulty with the end because the end should have NO AIR, but has you fall at the same rate, and on top of that:no portal linking to help figure out how big you are in the End)
Now this is my kind of Game Theory video
this video (and your channel) feels like a better and modern version of the old game theory videos mat pat did
You think video game universes* are in the multiverse?
*worlds
i'm halfway through the video and i'm excited to find out how much blocks long is a block
i tried to solve the equation and got 1=0.0179089
This is the one guy who could get me to actually pay attention to math
He changed everyone's worldview forever
Totally off topic, but for the next video can you dye your tongue green so that when you talk your mouth is invisible?
You cannot assume that gravity on Earth is the same as gravity in Minecraft. You also cannot assume that water in Minecraft has the same density as water on Earth.
I’m not sure if you intentionally left it out or if you forgot, but from what we can deduce, the nether is inferred to be directly beneath the bedrock layer of the over world. Which could change up a lot of the calculations when accounted for.
I think we have finally found the true purpose for physics class.
How have I never seen your channel before? Right up my alley! Nice vid! (And yes I subscribed)
The problem is minecraft doesnt simulate atmospheric drag. it just multiplies the speed by like 0.9
What about anvils?
Great energy. Was hoping for you to do a thing at the end calculating the air density to get 1 meter, and you delivered.
The world technically goes past the border and we know it doesn't just repeat, what if it's so big that the gravitational drop off/angle change is negligible? I'd suggest using the speed of light in the game but even if there were photons, you really can't trust any constants of nature
The real mistake youve made is that you're assuming the minecraft world is a sphere instead of a cube
I genuinely didn't expect that like are the people at Mojang really that smart?!
No, I just picked a random air density at the end to get it to equal 1 for the big reveal. In reality, they almost certainly chose the fall speed and terminal velocity to suit the gameplay without any thought for real-world physics (which, to be clear, is what the should have done), and chose 1 meter for the block length to make the stats easy to calculate. Although I have no doubt that the devs are far smarter than I!
I always thought Steve was a short person due to the thickness of his arms compared to his body, making him a hobbit of sorts which I think fits the fantasy asthetic of Minecraft!
So to just throw a ballpark figure out there, I personally think the Minecraft block is roughly half a metre, so a real life man is probably under 4 blocks tall.
My answer is that it's really tiny. The exact size may depend, but I think it's usually less than 1mm
Plants in minecraft is green so I would say that to assume the density of minecraft air is the same as earth air is not compleatly off. Air on earth is mostly nitrogen, and chlorophyl is partially made of nitrogen, and chlorophyl is green.
I have no idea how xou calculate it, but i was curios about this like 5 years so THANKS.
8:46 you ASSUMED, thats where you messed up you should have had it as another variable
12:43 what about outside the borders? theres more outside and also quick side note about density, whouldnt it be more dense or less dense from gravity? would it not be more dense if its on a plannet with more gravity than earth? would it not be less dense if it was on a planet with les gravity than earth? oh yea and what version are you talking about? pre 1.17 has WAY less caves but is alot smaller cause its half the size BUT post has more bigger caves and is double the size so which one are you talking about and which is more dense on average?
15:33 again, past the borders?
20:09 wow, cant believe it, i just wasted 20+ minutes of my life for you to figure out that they actually tried to make it realistic
And then, you realise that characters and blocks don't fall with the same acceleration, which means that all computations relying on g fail 😅
so a) it's almost as though the physics is arbitrary but b) a better estimate is that one block is about a foot, meaning Steve is only a couple of feet high. I wonder what the pesuasive math would be for 1 block to == 1 inch. I'm curious now.
after watching this im sitting in front of my computer like the "Stunned Lisa" meme dkjlfghlsdkfjghdl
For some reason I imagine all the blocks to be around 1 foot tall
absolutely love this video! Your work is always great!
You can try figure out Minecraft scale by the blocks. I would say a block is slightly less than a meter. More like 2 ft. Why Minecraft builders often build larger than 1:1 for player scale builds.
hollow planet kinda makes sense why would the result be so tiny, you get massive r^2 when planet mass is nonexistent
Yeah, it's not a perfect assumption, but when applying physics to a game where the devs chose speeds and sizes arbitrarily to suit the gameplay there's only so much you can do!
That 60 million figure isn't entirely accurate as it's only the size of the world border, but as anyone who's ever been there before knows, the world actually continues well past this border.
despite all the nonesense of this video, him realizing a block IS infact a meter made me laugh so hard XD
5:29 I thought he was gonna say CD, stands for CDs nuts
That's why you're a smarter man than I...
I did this equation but assumed the size of a block is one meter, and calculated how dense the air would need to be. Turns out, following all other assumptions, the density of air in Minecraft is 4.55625 x 10^19, which is more than 100 times the density of a neutron star. We can therefore calculate the mass of the Minecraft world by adding the mass of everything that isn't air to the mass of everything that is air, which gives us a mass of 3.05086500000000000074376×10^37 kilograms. This is 15,254,325 time the mass of the sun, or about 3.567 times the mass of the supermassive black hole at the center of our galaxy. Perhaps it is a good thing that blocks are 345.5 nanometers.
13:34 also explains one of the many reasons why the earth is not f-cking flat
Soooo, math is irrefutable, I agree with that, but if gravity is currently undefined, then air density will change radically. Any change is air density changes drag coefficent based on air density. If you push really hard with all formulas into base form, then the result would have changed drastically.
20:35 Woah, ARG? I wonder who "M" is. I'm new to the channel, so I wouldn't know if it was a recurring character :/
This video literally made me cry so much because I thought I was good at math
You can actually have a flat/disk world with equal gravity across the surface. Granted it would be artificial and require alot of energy but it is a thing in science fiction and is as possible as hollow/sheild planets.
It would work the same why as artificial gravity on an O'Neil cylinder would. I think Austin on The Science covered the concepts of Minecraft being a disk world in the past with some interesting resultes.
you could have the flat world accelerating up forever in space?
@marsgreekgod up in relation to the surface of the disk. It could be accelerating on its side around the galaxy. And while not forever, you could do it for millions, if not billions of years. It'll be incredibly energy inefficient compared to Sheild worlds or O'Neil cylinders.
A SFIA fan I presume?
@@marsgreekgod
Yes, but it wouldn't work indefinitely, as you approach the speed of light the world would start to feel the effects of relativity, and the energy required to continue the acceleration would start growing exponentially.
The Minecraft world isn't a planet in the conventional sense, it's not even a cube, it's, as stated by the superior beings at the credits' speech, "flat and infinite".
The physics simply don't work like in our world, there is no gravity, but rather an universal "down force" that affects everything no matter where on the infinite plane they stand.
Which is why things like falling sand, mobs and arrows fall at different intervals, it's an entirely different law.
Players and falling blocks fall at different rates so the gravity is inconsistent and i dont know what to make of this
Whilst calculating the mass of the minecraft world, you assumed that each block was a meter cubed, the very thing you were trying to disprove. That's probably why you got 1 meter cubed at the end.
I did a bad job of explaining it in the actual video, but if you read the pinned comment you'll see that I actually used percentages when finding the density, so the units were irrelevant. Should have made that more clear!
@@TheChiptide I see. I'm sorry, that's on me for not checking. Although, wouldn't the fact that a minecraft world is relatively thin mean that you are being pulled at the sides by gravity as well as down?
"Real size" uses so many assumptions thats far worse than just assuming the block is 1m
Your videos never disappoint!
It’s 1 unit. The unit is whatever you want it to be, but given the scale of the art, meters is the most logical.
the atmospheric density was just assumed. that kind of invalidates everything. because we have not calculated ρ
Technically in minecraft lore the neither neither is below the overworld since its minecrafts hell but below the niether is just a void but above the neither is also void so there is a void gap between the overworld and the neither which makes sense since moving 1 block in the neither is like moving 8 blocks in the overworld i think, and the end dimension is wierd it can be below the neither, or between the overworld and the neither, or above the overworld which is space or it can be in just a whole different dimension, where ever the end dimension it is, minecraft is still a hallow earth.
This guy remind anyone of old school game theory meets Kyle hill
If the air got striped away from the planet, then terminal velocity would not exist, perhaps instead of a hollow earth, the void is instead a massive pocket of a substance like air below the surface.
How do we know if the block of sand was falling for 1 sec as time in minecraft is measured in ticks while some games like xenoblade have a 24 hr clock where 1 min in game is 1 irl sec
It's as easy as falling down...Crash, Boom, Bam... Solved it🤣
Another way you could try to calculate how big the blocks are is to find the average size of the animals in Minecraft pigs cows chickens sheep dolphins fish rabbits and then compare the size of the blocks to them
What about spiders tho
@@alonelyphoenix8942 maybe the spiders are from Australia
@@Zachanator1213 true
@@alonelyphoenix8942
I wouldn't count the spiders as those are monsters, they're not meant to be regular ol' animals.
Minecraft border != the end of the world. You literally can go up to it and see that it continues on. if you go past the border then it continues generating for a fairly long time, thought at some points everything starts falling apart.... but a normal player will never get to that point.
If we assume that its an infinite plane, then the gravity wouldnt get weaker to the sides of it, it would allways point straight down.
Its a better assumption then just wrapping the world from border to border around a sphere.
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Also assuming same density as its IRL for every material isnt a good assumption. Its basically as faulty as just saying "lets assume g = 9.8" or even "lets assume that the blocks are 1 meter in lenght". Assigning random baseless numbers to physical values.
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Still a fun video thought.