On 10/4/2011 10:25 AM, Stephen P. King wrote:
The conservation laws come from the requirement that we want our laws to be the same
for everyone at every time and place. This is our idea of "laws". I'm sure you're
familiar with Noether's theorem and how she showed that conservation of moment comes
from the requirement of invariance under spatial shifts, etc.
That is beautiful and rather convincing.
My friend Vic Stenger has written a book, "The Comprehesible Cosmos", which shows how
this idea extends to general relativity, the standard model, gauge theories, etc. and
provides a unified view of physics. I recommend it.
The part of physics is interesting, but if he would take more seriously the mind-body
problem, I think he would appreciated the comp new form of invariance for the physical
laws: that is, that the laws of physics do not depend on the initial universal theory.
It does not depend on the choice of the computation-coordinates (the phi_i).
I am taking Noether's theorems into account. Furthermore, you might note that those
theorems collapse if there does not exist spatial and/or temporal manifold.
The manifold doesn't need to be spatial or temporal. Gauge theories are built on
rotations in an abstract space. But my point was just that the answer to the question of
where do the laws of physics come from is that "We make them up." That answer isn't a
surrender to solipism or mysticism because we make them up so that everybody will agree on
them at every place and time. And as every time and place is expanded by our use of
instruments to extend our range of perceptions it becomes a very strong constraint indeed.
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