>>11875953>quantum superposition is literally the principle of superposition which is what all differential equations have which basically says that fundamental set of solutions are independent which means they form a vector spaceFuck, no. In a classical sense the solution to the simple harmonic oscillator is a superposition of the following form A*sin(t)+B*cos(t)
If you want to know what the actual answer is you apply boundary conditions. For instance just say at t=0 the position is 0. If that's true the solution is Asin(t). Later if the range of motion is given as having a maximum of 1 the solution is sin(t)
In quantum mechanics the thing is in a superposition of state, which means it's at all positions at one with some distribution of probability of measuring it somewhere. It's completely not analogous. That's what the thought experiment about the cat is supposed to highlight. In classical mechanics, elements can be superimposed and neatly solved for given boundary values. In quantum mechanics there superposition of state and a probability of measurement and no boundaries.
