4 ms·
I don't think it's for certain, but anyone who has ever implemented Runge-Kutta on an n-body problem knows that simulating a "simple" system can be very not sim
by scythe 9y ago
I don't think it's for certain, but anyone who has ever implemented Runge-Kutta on an n-body problem knows that simulating a "simple" system can be very not simple. Accurately simulating a chaotic system over a time t requires \Omega(t) memory because of Lyapunov doubling. As such I think any long-term simulation of the Universe would require new physics or be subject to error. The errors might be impossible to detect from within the system but they're still "there" in a formal sense. New physics could include a "pixellated universe" which has the same errors, or something else.
- duncan_bayne 9y agoBut, such a stimulated universe would be observed by its residents to have very odd behaviours caused by such hacks. Like a maximum speed limit, minimum temperature, an uncertainty principle, and so-forth ;) https://www.smbc-comics.com/comic/2012-02-29 https://www.smbc-comics.com/comic/2012-02-29
- Valmar 9y agoAre those even hacks, though? They seem more like just how it is. Are these limits necessary? Maybe these limits are just part of the nature of how matter functions, rather than being mere hacks. We understand so damn little of this physical universe that we are in no position to say much, if anything, about it's true nature and origins.