Quote:
|
Sure you can. Get a computer. Have it crunch out the differential equations with some good code. You will find that certain initial conditions give unstable solutions, but it can be done. Next imagine a computer that can solve the problem to an accuracy less than the uncertainty principle. Now you've got something that is operationaly as good as (perhaps arguably better than) an analytical solution. If that seems like an ad hoc solution to the problem consider that the analytical solutions to physics problems are almost always had at the expense of making some simplifying assumptions.
|
If you are solving the problem to an accuracy less than the uncertainty principle, threshold you better be doing wave equations. =)
Hmm. So, you want the answer within epsilon, so you measure your location within f(epsilon), and use a massive massive massive computer to do the simulation in such a way that the end error will be less than epsilon.
Reminds me of the constructive reals. =)