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Hi All! I'm new to the forum, but a long time Brandon Sanderson fan. I love the Mistborn trilogy, and thought it would be fun to create a Lego Ideas project based on it! For those that don't know, Lego Ideas is a platform where users can submit their creations, and if they get enough supporters it could become a real Lego set! Check out the details and such on the official site. https://ideas.lego.com/projects/f33f22fb-ca30-43b5-a46a-6f17bede06ed
Khmauv posted a topic in MistbornI have seen a reoccurring theme in these forums in regard to the relationship between steel pushing/iron puling and weight. I am hoping I can dispel some confusion on the matter. I am hoping you can forgive me if I quote the book incorrectly I am transcribing from the audiobooks(Don't judge me. I drive a lot.) and don't have the texts to reference. I believe this whole idea comes from when Kelsier was training Vin. After they get in a pushing match. Kelsier Tells her, This I think has been interpreted to mean than heavier people have a stronger push. If you look to their first training session Kelsier has already explained quite clearly that is has to do with action and reaction. After Kelsier tells Vin not to get in a push matches, Vin recalls this earlier lesson and reasons, The reason for not getting into a push match with someone heavier is NOT because they are stronger pushers but because their body is a better anchor. Summary: weight has nothing to do with steel pushing strength. edit: added quote boxes
Scriptorian posted a topic in MistbornI read the mistborn series while taking a class on calculus-based Newtonian physics, so I couldn't help but formalize a theory on how steel/iron allomancy would actually work. There has already been a topic on how weight is related to the strength of push/pulls, and you can read it here http://www.17thshard.com/forum/topic/3307-weight-has-nothing-to-do-with-allomantic-pushpull-strength/?hl=%20allomancy%20%20mass%20%20weight. But I want to introduce a new theory (with a bit of math) that I think clears up a lot of the confusion. I'm not incredibly physics-savvy, so I explain something terribly wrong, I apologize. (For the sake of efficiency, when I say allomancy, I am referring specifically to Iron and Steel) The Force of Pushes and Pulls First, I am operating under the assumption that weight is only tangentially related to the force an allomancer can exert. Instead, it is actually the mass involved that is important. Weight is the force exerted on an object by the planet equal to the mass of the object multiplied by the acceleration due to gravity. Most people (including the mistborn characters) probably mean mass when referring to allomancy. So I came up with an inverse-squared formula to determine the force an allomantic push/pull can exert. F= (A x (m1 x m2))/(r2), where F is the resultant force, A is the coefficient of Allomantic strength (I'll get into this later), m1 is the mass of the allomancer, m2 is the mass of the object, and r is the distance between the two masses. (The force is positive for Lurchers, and negative for Coinshots). I based this off of the Newton's Law of Gravitation since the principles involved appear very similar to me. When the earth pulls on an object, the object is actually pulling on the earth with the same force. However, the earth has so much more mass than the object so it effectively doesn't move. If a much larger object, like another planet, were to come near the earth, then both it an the other planet would move towards it at noticeable speeds. And again, if a much more massive object, like the sun, where to come near the earth, you wouldn't see the sun move,, just the earth. This is very similar to how a Coinshot can send a coin flying, but be pushed into the air by a much heavier object. The coefficient of allomantic strength accounts for the varying levels of power between different allomancers. This variable changes depending on how hard the allomancer is pushing/pulling (i.e. by flaring). In this way, both the mass and strength of the allomancer are important to the amount of force he/she can exert. Both the allomancer and the object are affected by the same force, but the less massive object accelerates much faster. The force also decreases quadraticaly as the distance between the object and allomacer increases. So I did some math the figure out about what this coefficient of allomanctic strength would be...and kept doing things wrong. At first I made the mistake of assuming a coinshot was pushing on a coin in free space, which resulted in a Coinshot strong enough to move planets. Then I tried having him push against the mass of the planet, which came out to him being ridiculously weak. I finally realized that when you are pushing off of a coin, your effectively pushing off a certain amount of ground, not the entire planet. I have no idea how you would calculate the mass of the ground however, so my formula is now un-provable without some more concrete measurements of allomancy . Feruchemical Iron This theory requires some pretty weird physics concepts. There's been a lot of discussion about what is actually stored with Feruchemical iron, but I think this theory coveres it pretty well. Basically, there are two different measures of mass: gravitational mass and inertial mass. Gravitational mass affects the gravitational field exerted by an object, and also how it is affected by other fields of gravity. Inertial mass is how much an object resists changes in motion. So far as we know, the two values are the exact same for any object and are functionally the exact same concept, in the real world. However, in the Cosmere, it appears you can change one without changing the other. I propose that Feruchemical iron merely stores the feruchemist's inertial mass. This means that nearly every force will affect the feruchemist as though they had gained more mass when the feruchemist is tapping, and vice-versa for storring. Gravity, however, affects the feruchemist the same as normal. The difference is, say when the feruchemist jumps while storring, the force of the jump affects him much more, with gravity affecting him the same, resulting in a much higher jump. Similarly, while falling, drag affects the feruchemist much more, resulting in a slower fall. This also solves the issure of the feruchemist suffering not crushing themselves while tapping, because their atoms become more resistant to motion in direct correlation with the increase of inertial mass. This increase in inertial mass would also factor directly into my above equation for allomancy. Since the force is directly proportional to the mass of the allomancer, tapping iron results in a greater force, both on the allomancer and the object. However, the increased force accelerates the allomancer the same as normal force the allomancer is now proportionately more resistant to motion. Now a potential hole in my theory is that the reverse should also be true. Decreasing your inertial mass would make forces affect you more, but would also reduce the strength of your Push/Pull. In the AoL, Wax is more affected by Pushing while storing Iron, and I can't figure out how to account for this mathematically... I wanted to have a bunch of physics and math extrapolated from this...but most of my calculations were really flawed.... Anyway, thoughts? Criticism? Any real physicists who wants to tell me I explained this all wrong?