[FOM] An alternative to the real numbers as a basis for physics
Ben Crowell
fomcrowell06 at lightandmatter.com
Fri Mar 3 18:27:40 EST 2006
The paper by Dragovich seems silly to me as a physicist. He says
that physical measurements are actually rational numbers rather
than reals. Actually it's worse than that: physical measurements
are ranges of error with fuzzy edges. And he proposes that we let
8piG/c^4 be rational. That's a completely meaningless statament. Such
a coupling constant can have any numerical value you like, depending
on what system of units you use. In the natural units most commonly
used for general relativity, c=1 and G=1 by definition, so he's
proposing to let 8pi be rational.
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