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how about just tidying up the current physics engine (so stuff doesn't flip around randomly?) if that's done, why do we need a new one? other than the coolness factor
It doesn´t seem to be that easy to fix ODE. Otherwise it already would have been done over the last few years. \:\)

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I want whatever physics engine has the least problems with stuff suddenly flinging around inexplicably and bouncing around the level!!! so, the most reliable.; which one is that? It seems like they all do the same thing, but which is most stable and compatible with hardware,and easiest and quickest to work with?
I think all three are better than ODE in this regard. But approximate linear solvers are more susceptible to such flaws so i would say Newton´s solver would be most robust which requires the least tweaking work.