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I would guess that it will never be possible to simulate each and every physical interaction in the universe. Not only because there is a huge amount of particles in the universe but because we would have to simulate the simulating machine also. The simulating machine (computer or whatever might follow) is made up of elementary particles like the rest of ...

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I have no background in this matter, but I think some basic intuition is in order. Sliding down: Suppose you have chain of rubber balls connected by elastic springs. Hold up the chain and let it dangle. Notice that the energy of the system is exactly as above, with $E(R_n)=mgZ_n$ where $Z_n$ is the height of ball $n$. What will it look like? Numbering ...

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In 2D you are going to get an extra factor of $1/h$ that you can't get rid of. It's because in 2D you have in some sense line charges with units of $[Charge]/[Length]$, and similarly with field units. So when you discretize (and, by the way, your discretization is only first order accurate in space) you're going to have this units problem for lower than ...

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