[FRIAM] All models are wrong - modeling Covid-19
thompnickson2 at gmail.com
thompnickson2 at gmail.com
Thu Apr 16 12:23:21 EDT 2020
Marcus, et. al.,
I love it when you Wizards talk dirty.
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.
Nick
Nicholas Thompson
Emeritus Professor of Ethology and Psychology
Clark University
ThompNickSon2 at gmail.com
https://wordpress.clarku.edu/nthompson/
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From: Friam <friam-bounces at redfish.com> On Behalf Of u?l? ?
Sent: Thursday, April 16, 2020 9:30 AM
To: FriAM <friam at redfish.com>
Subject: Re: [FRIAM] All models are wrong - modeling Covid-19
That is a super cool paper, well worth the time it took for my super slow brain. I'm still struggling with the stance I have to take on non-determined numbers for it to make sense. But because it simply *smacks* of the same argument I make to my clients about numerical integration e.g. ODE systems vs. DE systems, I keep thinking I'll snap to it at some point. Maybe I need to get my hands on some LSD and re-read it. 8^)
Thanks for posting it.
On 4/14/20 10:15 AM, Marcus Daniels wrote:
> Another perspective on prediction.
>
> <https://link.springer.com/article/10.1007/s10670-019-00165-8> https://link.springer.com/article/10.1007/s10670-019-00165-8
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