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

[email protected]

https://wordpress.clarku.edu/nthompson/

 

 

-----Original Message-----
From: Friam <[email protected]> On Behalf Of u?l? ?
Sent: Thursday, April 16, 2020 9:30 AM
To: FriAM <[email protected]>
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

 

 

--

☣ uǝlƃ

 

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