Friday, January 17, 2014

Finite world

"The number of possible videos you could be watching on your tv is finite"-spikedmath

I had previously thought about the fact that the number of digital images with meaningfully distinct content is finite and what it meant.  The above linked site goes over the argument using audio sampling and video content to extend such reasoning to videos, indicating that all videos of meaningful length are finite too.   This combination includes recordings of all historical events and all alternate recordings of history including personal first person views of all individuals lives.

As each state is merely a number and numbers are likely eternal it is likely these "videos" all exist eternally in what some would describe as the akashic records.  Eternal recordings of all human actions past and future.   Though I believe accessing such as normal human beings is pseudoscience and nonsense.  Access to such files would likely require vast computational power and storage capacity to enumerate and catalog all the data in a meaningful way.

Depending on the limits of physics it may be the case that posthumans will have access to such one day, and all secrets even the most intimate will be known then no matter how well kept.

Regards the calculation presented in the above spikedmath article I believe it is very generous and a similar but smaller data file is possible.  Audio data can usually be eliminated if you use proper subtitles and most of the content of a movie or video is usually not lost.  Resolution too can usually be reduced without loss in the ability to convey the meanings of content.  A resolution of 480p usually suffices.   This would reduce the numbers on the relevant part of the calculation to ((10^6)^307,200)^30s, and audio data would be ignored.

A note should be added while the site claims a limit of 10Million on number of distinguishable colors,I believe the number is slightly larger but on the same order of magnitude.  Irregardless even with black and white most information on a video can be extracted and understood.

NOTE:

A similar argument has also previously been made regarding books:
Borges's narrator describes how his universe consists of an enormous expanse of adjacent hexagonal rooms, each of which contains the bare necessities for human survival—and four walls of bookshelves. Though the order and content of the books is random and apparently completely meaningless, the inhabitants believe that the books contain every possible ordering of just 25 basic characters (22 letters, the period, the comma, and the space). Though the vast majority of the books in this universe are pure gibberish, the library also must contain, somewhere, every coherent book ever written, or that might ever be written, and every possible permutation or slightly erroneous version of every one of those books. The narrator notes that the library must contain all useful information, including predictions of the future, biographies of any person, and translations of every book in all languages. Conversely, for many of the texts some language could be devised that would make it readable with any of a vast number of different contents.-Library of Babel

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