Say you have a formula or equation that is infinite and random.  Say you have a finite amount of numbers in a row.  I would think that one should be able to search that infinite field of random numbers and generate the finite amount of numbers.  You would need a starting point and an equation.

You could use this to compress data.  I have a feeling that it would work with quantum computer systems also.  That is, in the end, this will apply entirely or partly to a quantum system.  Calculations.

One could even create a equation that would output the data.

Model infinite numbers via shapes.

Model finite number via shape

Match shape inside infinite number.  Start by matching only part of finite set to finite set.

Would work better if infinite number was predicable at distances.

Checksums may work.

Having a standard model for finite data would help visualization.  IE all data fits pyramid shape.  Now find right pyramid.

Output of finite data = Estimate Index Location (A place to start a search within an infinite number)

Infinite number can be predictable?  Repeats but grows forever.

Skip Sets.

1000000101010110010

-char length/data size
-checksum (nv)

Describe the data and find the answer.

Something physical could help also.  A device or selected input.