Theoretical Physics in a Nutshell 1
From: Jack Sarfatti (sarfatti_at_pacbell.net)
Date: 02/05/05
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Date: Sat, 05 Feb 2005 17:49:56 GMT
Koen makes a good point. I opt for spontaneous broken vacuum symmetry of
the O(1,3) group as the explanation.
All preferred frames can be understood that way.
There are only two important ideas in theoretical physics.
1. Locally gauging a symmetry group G (either external or internal).
2. Spontaneously breaking the vacuum (or ground state for real quanta)
to make a "preferred frame" relative to the group G.
The Cahill effect, if confirmed, is no different from the preferred
orientation of a ferromagnet, i.e. a preferred frame of orientation for
the O(3) group, only the group G is different. For the Cahill effect it
is O(1,4).
All phenomena from large-scale dark energy accelerating the universe to
the small-scale weak force of beta radio-activity can be understood
completely in terms of applications of 1 & 2 above.
Einstein's general relativity is simply the local gauge theory of the T4
subgroup of the conformal group.
The compensating gauge potential space-time connection field is the
non-trivial piece of the Cartan tetrad
eu^a = (Kronecker)u^a + Bu^a
Bu = Bu^aPa/h = (Goldstone Phase),u
{Pa} = Lie Algebra of T4
guv(LNIF) = (Minkowski)uv + Lp^2(Bu,v + Bv,u)
Note when Lp^2 = hG/c^3 = quantum of area -> 0 gravity vanishes.
Gauge transforms of Bu --> Diff(4) GCT tensor transforms (e.g. Brazilian
paper)
guv(LNIF) = [(Kronecker)u^a + Bu^a][(Kronecker)v^b + Bv^b](Minkowski)ab(LIF)
The Ricci rotation coefficients needed for the tidal stretch-squeeze
Riemann curvature tensor field are
Au^bc = eu^aAa^bc
Note
eu'^a(P) = (GCT)u'^ueu^a
and
eu^a'(P) = (O(1,3)a^a'eu^a
Tu = Au^bcSab
{Sab} = Lie algebra of O(1,3), but Aa^bc are global phases until O(1,3)
is locally gauged to get an independent torsion field Tu. Tu in 1916 GR
is not an independent dynamical field but derives from eu^a
There are 4 messages in this issue.
Topics in this digest:
1. Smith's conclusion on Cahill's theory is wrong
From: Koen van Vlaenderen <kovavla@zonnet.nl>
2. Re: On Preferred Frames
From: Jack Sarfatti <Sarfatti@PacBell.net>
3. Preferred Frames as Spontaneous Broken Lorentz Boost Vacuum
Symmetry
From: Jack Sarfatti <Sarfatti@PacBell.net>
4. The meaning of preferred frames
From: Jack Sarfatti <Sarfatti@PacBell.net>
________________________________________________________________________
________________________________________________________________________
Message: 1
Date: Thu, 03 Feb 2005 19:15:57 +0100
From: Koen van Vlaenderen <kovavla@zonnet.nl>
Subject: Smith's conclusion on Cahill's theory is wrong
Tony Smith's conclusion (based on the statement that n is not a constant
because of the Lorentz contraction)
that Cahill's theory is flawed and wrong, is by itself premature and
likely to be wrong.
Even if n is corrected for Lorentz contraction, that does not
automatically mean that in the resulting model the measurements indicate
a NULL result.
If Tony Smith can prove the latter, then he has a point. I think he
can't show this. Probably the corrected n (for Lorentz contraction) is
not too much different from a constant n, such that the interpretation
of the measurements by Cahill will not be much different either.
Koen
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