For more on the view that stochasticity fundamentally parallels reality, an interesting read is "The Dawning of the Age of Stochasticity" by David Mumford [1].

For more on the view that stochasticity fundamentally parallels reality, an interesting read is "The Dawning of the Age of Stochasticity" by David Mumford [1]. I also think it's interesting that methods like Hybrid Monte Carlo were inspired by a physical-reality-first idea. It makes it seem like this is somewhat of a chicken and egg problem. [1] http://www.stat.uchicago.edu/~lekheng/courses/191f09/mumford-AMS.pdf http://www.stat.uchicago.edu/~lekheng/courses/191f09/mumford...