I'm sorry, I didn't explain clearly. Relativity isn't relevant to my question.

I'm not actually talking about Physical Plank-scale measurements, but rather the mathematical

*idea* of a "smallest possible unit of measurement ever" akin to the kind of scales that Planck lends his name to, but applied to the concept of information as opposed to the concept of physical reality.

The idea of, on an epistemological level (I so hope I'm using the right word), that we can't measure or compute/calculate something smaller than some "smallest" value of information because mathematical measurement is no longer capable of determining the result with sufficient accuracy.

For example, calculating Pi to a googol of decimal places leads us to eventually being unable to determine whether that googol and first number after the decimal point has a margin of error because the value is too small to calculate accurately, as opposed to physically measuring it using scales that apply to physical reality. However I accept the explanation that the calculations of mathematics are not bound by the limitations of the physical Universe's quantum scale.

Although I am amazed as to how we can calculate the value so accurately to begin with when the values of either the circumference or diameter having what must be an infinity of decimal figures itself.