To be clear, the below aren't Nick's words, they're cut-n-paste from the paper.
On 4/16/20 9:23 AM, thompnicks...@gmail.com wrote: > It is usual to identify initial conditions of classical dynamical systems > with mathematical real numbers. However, almost all real numbers contain an > infinite amount of information. I argue that a finite volume of space can’t > contain more than a finite amount of information, hence that the mathematical > real numbers are not physically relevant. Moreover, a better terminology for > the so-called real numbers is “random numbers”, as their series of bits are > truly random. I propose an alternative classical mechanics, which is > empirically equivalent to classical mechanics, but uses only > finite-information numbers. This alternative classical mechanics is > non-deterministic, despite the use of deterministic equations, in a way > similar to quantum theory. Interestingly, both alternative classical > mechanics and quantum theories can be supplemented by additional variables in > such a way that the supplemented theory is deterministic. Most physicists > straightforwardly supplement classical > theory with real numbers to which they attribute physical existence, while > most physicists reject Bohmian mechanics as supplemented quantum theory, > arguing that Bohmian positions have no physical reality. -- ☣ uǝlƃ .-. .- -. -.. --- -- -..-. -.. --- - ... -..-. .- -. -.. -..-. -.. .- ... .... . ... FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/
