In a Random Access Memory (RAM) an index (usually represented in binary) is used to access a location of memory and retrieve/store a value.
Are there natural physics processes, interactions, reaction, ... that can resemble a "random access" to something ?
In other words, a physic process, interaction, reaction, ... that uses some compact representation to (quickly) access an information or object, ... "stored" in an exponentially "larger list/storage".
As commented by TheGostOfPerdition, an example (the only that comes to my mind) is the radioactive decay
$$N = N_0 e ^{ -t / \tau}$$
in which the current decay rate can be used to "access" the "exponentially larger" age of an artifact (note that, in this case, the information is extracted and used by humans, but nevertheless it is "stored" in the current "version" of the artifact ... sorry for the improper terminology).
(This is my first question on physics.stackexchange, so let me know if I can improve it or it is completely out-of-scope)