The world is differentiated; therefore the world must differentiate. There is a necessary knowledge/ information aspect at the foundations of the world.
Our world is differentiated into different fundamental categories, like mass or position, and different numbers that apply to these categories. Therefore, it is logically necessary for our world to have a fundamental-level knowledge/ information aspect to enable the world to differentiate/ discern difference in its own categories/ relationships, and numbers.
This knowledge/ information aspect of the world can only be represented via the use of logical connective symbols. So, knowledge/ information is always represented in the following type of format:
(category = number) IS TRUE .
Or
(category = number) IS FALSE.
So, it is necessary that our world can differentiate a situation where (what we would represent as)
(m = 0.511 MeV) IS TRUE
from a situation where (what we would represent as)
(m = 105.7 MeV) IS TRUE.
(or more correctly, as Georgina pointed out:
It is necessary that our world can differentiate a situation where (what we would represent as)
(m = 0.511 MeV/c2) IS TRUE
from a situation where (what we would represent as)
(m = 105.7 MeV/c2) IS TRUE.)
Contrary to the idea that a mathematical world wouldn’t have a knowledge aspect, in fact, any differentiated mathematical world needs a knowledge/ information aspect. When doing mathematics, using mathematical symbols, the mathematician plays the part of the necessary knowledge/ information aspect.
The point I’m getting to is this:
The potentially experimentally measurable aspect of the world is representable as (e.g.):
m = 0.511 MeV/c2,
but the corresponding knowledge/ consciousness aspect of the world would be represented as:
(m = 0.511 MeV/c2) IS TRUE.
The “IS TRUE” aspect of the world is not measurable; the knowledge/ information/ consciousness aspect of the world can’t be measured.
This contrasts with the flattened-down world of computers where voltages are used to represent absolutely everything (e.g. categories, numbers, logical connectives). Everything, including the voltages that represent “IS TRUE” is potentially measurable in a very much slowed-down computer.