Quote:
Tormond - It depends on what "perfect" means, but if it is to include the "dimensionless" requirement
the it becomes difficult as physics deals with real world stuff while the constants of pure math often deals
with things that are not "real" in any physical sense.
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One of the problems with a dimensionless constant is whether it would be understood as a standalone
value. There are a number of mathematical constants if presented as a pure numeric value their meaning
would be known by many people. Fewer people will recognize the numeric value of physical science
constants, usually those that are specialists in specific areas. The various particle mass relationships
are ratios, thus dimensionless.
How many people will recognize the meaning of value of 1838.683? This is the neutron-electron mass
ratio and you won't be exposed to that value unless you get involved with particle physics.
This is a little off topic, but I wasn't familiar with that value until I ran across a web page, several years
ago (no longer available), by an engineer that had identified that numeric value as a dimension
(1838.6 pyr inches) in the Grand Gallery in the Great Pyramid. He specifically stated this dimension
represented the neutron-electron mass ratio, and he supported his analysis with other information.
There are a lot of constants that are basic to some aspect of the physical sciences, but are they basic
enough that they would be universally recognized?