Let's start with a simple example which I call 'two bit codec' In this codec, only two bits are used, and the resulting combinations of "movies" which we can encode are:
11 (my favourite)
in this space there are 2 combinations per bit (1 and 0) multiplied by the number of bits (2)
or 2^2 = 4 combination of "movies" we can encode.
Now, let's expand on this model, to a larger finite binary space. Movies are commonly encoded to fit in the space of a standard CD-Rom.
Let's examine the capacity of a cd rom:
1 MiB = 220 bytes = 1,024 kibibytes = 1,048,576 bytes
the net capacity of a Mode-1 CD-ROM is 682 MB or, equivalently, 650 MiB.
Similar to our 2-bit codec space in the first example, we still have a finite mathematical space, Let's assume a single codec, such as the Divx codec, a variation on the mpeg 4 definition.
By encoding a video into the divx codec space, assuming a constraint of 1 cd rom, we have 2 ^ 5,452,595,200 possible 'movies' which we can encode.
A 'movie' in codec space is simply a finite number within this limit which, when decoded bit-wise through the codec, can be represented in a visual manner, at an arbitrary combination of frame rate, resolution, bit rate, or other codec 'encoder' setting. These particulars are not of great consequence, simply the fact that for ONE PARTICULAR 'number' in codec space, a movie exists at that mathematical point.
Or may exist. There are going to be far more numbers which represent a CORRUPT codec stream, and therefore either represent PART of a movie or NO MOVIE at all. There will also be other numbers in codec space which are RESONANCES of the movie, in different resolutions, different frame rates, different codec BITRATE encode settings.
In this codec space, there are going to be RESONANCES of a film that are similar to, but divergent from the original. Like the director cut of a film, for example.
In the finite mathematical bit space of a CD-Rom, we have to assume that there are certain movies that cannot be encoded to fit onto a single CD-Rom, simply because the space is finite.
The corollary to this is, that if we remove the limit of the cd rom, and expand our view to infinite mathematical space, then there must exist within this new view of codec space, all possible films which can ever be imagined.
Even whimsical fancies such as:
- A version of Star Wars where Darth Vader is blue
- A demonstration video on how to build a time machine
- Episodes from the 9th season of the original Star Trek series.
In this expanded view of infinite mathematical digital space, all possible 'films' exist, and our divx codec becomes like a radio receiver, and we tune it to a particular mathematical 'channel'.
The channel exists, the number already exists, the only thing preventing us from finding these POTENTIALITIES is the overwhelming NOISE of corrupt channels.
If the promise of quantum computing can be harnessed to the point where 'mathematical potential codec space' can be browsed as easily as we can currently scan up the radio dial for radio stations, then we will be able to open our myopic view of our reality to a wider, hidden world of potentiality.