# Invariant Thinking...

Arguably the most fruitful principle in physics has been the notion of

symmetry. Covariance and gauge invariance - two simply stated symmetry

conditions - are at the heart of general relativity and the standard model

(of particle physics).

This is not only aesthetically pleasing it also illustrates a basic fact:

in coding reality into a formal system, we should only allow the most

minimal reference to be made to this formal system. I.e. reality likes

to be translated into a language that doesn't explicitly depend on its

own peculiarities (coordinates, number bases, units, ...). This is a

pretty obvious idea and allows for physical laws to be universal.

But what happens if we take this idea to the logical extreme? Will the

ultimate theory of reality demand: I will only allow myself to be

coded into a formal framework that makes **no** reference to itself

whatsoever. Obviously a mind twister. But the question remains: what

is the ultimate symmetry idea? Or: what is the ultimate invariant?

Does this imply "invariance" even with respect to our thinking? How

do we construct a system that supports itself out of itself, without

relying on anything external? Can such a magical feat be performed by

our thinking?

*Taken from this newsgroup message**...*