When looking for patterns in the universe, or some sort of theory of everything, it is important to keep in mind that the hour, minute and second are artificial constructs. So too is base 10.
What I would like to do one day is get all of the numbers out there, and compare them to each other, and in different bases.
For example, atomic clocks are based on cesium, “remains in a specific spin state only when bathed in electromagnetic radiation with precisely 9,192, 631,770 passing waves per second”. I don’t know what that means. but it should be added to the list of numbers to test
Cesium - 9,192, 631,770
Quartz – vibrates 32,768 times per second
Pi – 3.1415926
Euler’s number - 2.7182818284590
Phi - 1.6180339887
Compare each possible number pairing to see what the ratio to 1 is
Convert each number into a different base and see if there is a whole number ratio to be found – I’m guessing it might be difficult!