3 ms·
>> It seems all of these "problems" arise because you're taking particles to have no volume (point masses). No, these problems arise, as the parent had said -
by heavenlyblue 8y ago
>> It seems all of these "problems" arise because you're taking particles to have no volume (point masses).
No, these problems arise, as the parent had said - because those zero-point particles have a non zero probability of occupying the same coordinates if you're simulating their positions using e.g. floating-point variables.
- dahfizz 8y agoThis is a very straightforward consequence of using zero volume point masses.
- Ay_Ay_Ron 8y agoIn your example, floating point numbers are an abstraction for the underlying math which assumes space is continuous. If we're talking about events over a continuous sample space, the probability of two particles being in exactly the same space is identically zero since we can only assign finite probabilities to _intervals_.