DrPhysics

I think that it is a cool connection to make, but in the end we just don't have enough information to classify the particles. The point of building a good model is to be able to make predictions, and I don't see there being much predictive power here. I'm also noticing that those two staements above come across much more harshly written down than what I intended. What you have is good work and correct physics. I'd recommend: keeping this and revising part 2 when you have more quantum under your belt. Work on developing your classical model a bit more. I've been through many of the discussions on steelpushing physics around here (and even wrote some about it on reddit, but I don't have enough posts to link.) Here's a brief summary of what we do know: Direction and strength act much like field forces and follow inverse square law. The product on top depends on the strength of the allomancer and how much metal there is. Also, skilled allomancers can learn to push with only part of themselves and/or on only part of the object, but forces still follow field lines Inside objects, steelpushes/pulls add like pressure forces, not like field forces (which explains the coin that is held up between Vin and Kelsier, then smashed). The strength of the burn (e.g. lightly burning metals vs flaring them) correlates to the power delivered to the object, but with a base metabolic rate (e.g. it takes some investiture to exert a force, even if no work is done). Allomancers can't directly perceive the amount of force they apply, but can feel what it does to their bodies.

I haven't made it all the way through yet, but in the end of section one, Example 1.1, you make this statement (and the math to match): "This Connection allows them to draw on a constant stream of Investiture, creating a constant Force." Steelpush/pull behavior isn't described well with constant force. Instead, the amount of investiture used correlates better with the amount of power delivered to the object. For example, let's look at the scene in the first book where Vin pushes the coin into a wall and she goes flying backward. If she were exerting a constant force, thanks to Newton's third law, should would feel a constant force back and wouldn't be able to tell when the coin hit the wall. At constant power, the rapidly decreasing velocity that the coin experiences when it hits the wall creates a rapidly increasing force (Since P=Fv for moving objects), causing Vin to suddenly fly backward. What level of degree did you get in physics?