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On the Lighter Side => New Theories => Topic started by: captcass on 05/05/2020 05:28:21

Title: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: captcass on 05/05/2020 05:28:21
The 1*1037th root of the fine constant , and ALL other numbers, whole or fractional = "1". Is this the explanation of where the fine constant, at ~1/137, comes from? And is the 1*1037th root the common base for all numbers? 
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: Kryptid on 05/05/2020 07:08:45
Quote from: captcass on 05/05/2020 05:28:21
The 1*1037th root of the fine constant , and ALL other numbers, whole or fractional = "1".

I assume by writing it as "1", you mean "approximately 1". Of course that will be true of most numbers encountered in daily life, since 1037 is so large. But you could just as easily use 1045, 10120, 102,459, etc. However, to say that the 1037th root of all numbers is approximately 1 is grossly incorrect. I guarantee you that the 1037th root of Graham's number, for example, is in itself a number too large to comprehend: https://en.wikipedia.org/wiki/Graham%27s_number
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: captcass on 05/05/2020 07:42:51
Well, I must agree that it is a diminishing function, but both whole and fractional numbers tend towards "1". I came across this playing with the fine constant. My calculator ran out of 9's at 1037. I then noticed that ANY number will result in 1 on my calculator. It does not work with any base, however. A base of 2 does not work. There is a range and 1037 seems to be the midpoint.

As we work in base 10, I think it could be significant that the 1037th root is the convergence point when 137 is so important to us. Perhaps only because that is the number I was "rooting out" to begin with, so to speak.  :)

Gotta sleep on this one....
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: Kryptid on 05/05/2020 07:46:23
Quote from: captcass on 05/05/2020 07:42:51
My calculator ran out of 9's at 1037.

Sounds like a technological limit then, not something intrinsic to mathematics.

Quote from: captcass on 05/05/2020 07:42:51
As we work in base 10, I think it could be significant that the 1037th root is the convergence point when 137 is so important to us.

Yes, the base of 10 is a human-centric thing. That in itself makes the claim behind this thread suspicious. Combine that with the fact that 1037 is not the same as 137 and there seems to be no case to make here.
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: captcass on 05/05/2020 16:51:37
Alas, 'twas the vodka thinking. You are quite correct. Can I blame this on COVID19?  :)
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: captcass on 05/05/2020 18:59:30
Sorry I started this topic. How can I get it removed? It won't let me just do it.
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: Kryptid on 05/05/2020 21:16:00
I can close it if you would like.
Title: Re: Is the 1*10^37th Root the Basis of the Fine Constant and All Else?
Post by: captcass on 05/05/2020 22:58:35
Yes, please do. Thanks