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Author Topic: (Question) Fractals as a imaginary drives.  (Read 429 times)

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Offline Antelon

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(Question) Fractals as a imaginary drives.
« on: April 14, 2021, 10:27:37 PM »
Hard drives. (stores info in hardware)
Soft drives. (stores info in software)
Imaginary drives. (stores info in imaginary space, like fractals)

This topic will be about simulation hipothesis.
I believe that if our reality is simulation, it's not stored on some computer, it's stored on something more sophisticated. It embedded itself into mathematical realm, and gods whom created us are far beyond material realm. They do not use computers made of atoms. They use computers made of axioms.
But that's just belief.

Is storing information in fractals possible?
Can we achieve the platonic "ideal realm"?
As a religious person, i praise Mandelbrot Set as a "hard" drive for our reality.
Maybe someday, the temples of Mandelbrot will be created. Or of other fractals.

Maybe we can create false platonic realm inside of computers?
But it will be not real. It will be stored on a hard drive.
When I try to imagine the whole of reality I see a big never-ending fractal. Not just one universe, the whole multiverse of fractals. Our universe may be just one of many universes. And multiverse may be just one of many multiverses. Never ending story.



Linkback: https://fractalforums.org/index.php?topic=4159.0

Offline youhn

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Re: Fractals as a imaginary drives.
« Reply #1 on: April 15, 2021, 06:31:45 PM »
I think reality is stored in reality itself, the ultimate self recurrent fractal. Doesn't need to be restricted to only the Mandelbrot set.

Information can certainly be stored using fractals. See https://en.wikipedia.org/wiki/Fractal_compression for example.

Offline lkmitch

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Re: Fractals as a imaginary drives.
« Reply #2 on: April 16, 2021, 07:31:47 PM »
To the extent that mathematical fractals (not digital approximations) include numbers, they include normal numbers. Normal numbers include every finite digit string within them, infinitely often. So, every number can store information (depending on the information's encoding), thus every fractal can store information.

Offline youhn

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Re: Fractals as a imaginary drives.
« Reply #3 on: April 16, 2021, 08:00:48 PM »
wow, that's some deep pure math group theory statement. I need to reconsider this a few times.

Offline gerrit

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Re: Fractals as a imaginary drives.
« Reply #4 on: April 16, 2021, 08:52:19 PM »
To the extent that mathematical fractals (not digital approximations) include numbers, they include normal numbers. Normal numbers include every finite digit string within them, infinitely often. So, every number can store information (depending on the information's encoding), thus every fractal can store information.
Moreover, a normal number contains unicode code for all books, even the ones that are not written yet.

Offline hobold

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Re: Fractals as a imaginary drives.
« Reply #5 on: April 17, 2021, 12:52:13 AM »
Moreover, a normal number contains unicode code for all books, even the ones that are not written yet.
And all variations with all possible minor and major typos, minor and major mistakes, insignificant and significant errors ...

In short, it contains a lot of bits, but not a lot of truth. Or even only actual information.

Offline gerrit

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Re: Fractals as a imaginary drives.
« Reply #6 on: April 17, 2021, 02:12:20 AM »
[Normal numbers]

And all variations with all possible minor and major typos, minor and major mistakes, insignificant and significant errors ...
In short, it contains a lot of bits, but not a lot of truth. Or even only actual information.
One may wonder if such numbers really exist. Like the largest number that can be defined in twelve or less words. Chaitin wrote a whole book about it.

Offline lkmitch

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Re: Fractals as a imaginary drives.
« Reply #7 on: April 20, 2021, 08:00:20 PM »
Normal numbers certainly exist, but it's very difficult to prove that a given number is normal, except for constructed examples like 0.123456789101112..., etc.

https://en.wikipedia.org/wiki/Normal_number#Properties_and_examples


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