Thursday, June 3, 2010
Study of Mathematics: Analog vs. Digital
I agree with what Prof. Benjamin is saying. It is not necessary for people to understand limits and functions, but it is necessary for people to understand probability and statistics.
It is necessary for scientist to understand that we live in an analog world. Our tools are functional. Thus they are digital and cannot describe nature.
The reason our Neural Networks work the way the they do is because our brain/culture are analog computers. The data they work with is analog. We use algorithms like Monte Carlo systems to convert analog information into digital data.
We know very little about analog systems. We know very little about converting analog information into digital systems. Yes, we can collect analog information on a digital CCD chip to create a picture. But we cannot reverse the process.
This is because of calculus. Sorry Newton. What is the probability an electron will change charge if the surrounding baryons forms a Copper atom? What is the probability an electron will change charge if the surrounding baryons forms a Carbon atom? These are analog questions.
To even setup an analog question, one needs 16 bits of information per baryon emission, minimum. To change a baryon, each affecting boson produces 4 bits of information. This is the many to one relationship. Thus the universe is analog not functional.
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3 comments:
First of all, you seem to argue that probability will take us into the analog world. But Benjamin clearly stated that probability would take us into the digital world. I'm not entirely sure if you're agreeing or disagreeing with him, and in what way.
Second, I can't say I'm familiar with what bits of information you're referring to, but 16 bits and 4 bits do not analog make. That's a finite number of bits, and is clearly still in the domain of the discrete. You're still digital.
I am going to think about your postings. Thanks for reading my work.
Aaron
Anon,
Thanks again for the posting.
Yes, the data is digital. There are 4 bits of information to a photon; Temp, Freq, Wave Length, Spectra/counter.
For that data to be conveyed, the transmission of that data needs to be analog. Digital data must be sent along an analog signal. That analog of 3 bits of information are related.(T,F,WL,). Those bits of data are directly connected to each other. Their rotation affects the spectra. We see this in the Zeeman effect picture.
http://aaronsreality.blogspot.com/2009/07/zeeman-effect.html
http://aaronsreality.blogspot.com/2009/12/zeeman-effect-equations.html
I agree with Prof. Benjamin. Probability and Statistics should be taught as common as language. This would reduce fraud against victims.
I am going to work on the other comment. Thanks
Aaron
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