Natural Science Forum / Physics / Particle Physics / July 2005

On Jul 11, 2005, at 4:06 PM, Jack Sarfatti wrote:

I have essentially solved the problem. Kretschmann's point is purely
formal and is physically incomplete. There are always additional
criteria in the physical interpretation that pin it down. All
Kretschmann pointed out was that whilst general covariance, i.e.
invariant tensor/spinor form structure of the local laws of nature under
all possible local transformations, is necessary, it is not sufficient
to give a physical theory. Einstein, perhaps not consciously at the
time, since group theory in physics was not well known back them beyond
crystallography, used the local equivalence of gravity "force" to
inertial force (only in an non-inertial frame of course) to, in effect
locally gauge the rigid T4 space-time translation group down to the
local Diff(4) group. T4 symmetry via Noether's theorem from Lie groups
enforces global conservation of total energy and total linear momentum
of all non-gravity fields. However, with the local gauging of T4 you now
only have for matter

Tuv^;v = 0

i.e. local curved conservation of stress-energy matter current densities.

It is not possible to define a local stress-energy gravity current
density apart from zero in ordinary vacuum and (c^4/8piG)/\zpfguv in a
dark energy/matter exotic vacuum.

It's the local gauging of T4 + general covariance that is the physics of
the gravity field minimally coupled to mom-energy - that minimal
coupling is another meaning of the equivalence principle.

Similarly, it is the local gauging of U(1) + general covariance that is
the physics of the electromagnetic field minimally coupled to electric
charge.

Similarly for weak SU(2) and strong SU(3) charges.

For weak SU(2) charge there is also spontaneous vacuum symmetry
breakdown. I have also, in addition shown that the U(1) spontaneous
vacuum symmetry breakdown, which is the mechanism for cosmic inflation,
fuses with the local gauging of T4, so that the compensating subspace
warp field B part of the Einstein-Cartan tetrad field, is a
homotopically/cohomology non-trivial multiply-connected "singular"
non-closed Cartan 1-form that is a generalized "gradient" of the
Goldstone phase of the aforementioned U(1) spontaneous vacuum symmetry
breakdown. It's the Goldstone phase singularities that give the
interesting physics or "Berry anholonomies" that we call curvature and
torsion.

On Jul 11, 2005, at 3:53 PM, Paul Zielinski wrote:

So my barbs have finally stung you into some semblance of action? :-)

Jack Sarfatti wrote:

General covariance in gravity theory keeping point coincidences
invariant is the group G.

http://philsci-archive.pitt.edu/archive/00000380/00/NortonGCGTKO.pdf

However, there are TWO classes of these point coincidences.

H is the normal subgroup of trivial point coincidences of the  observer
Alice with herself. Call these "auto-coincidences". They are  like the
EM gauge transformations in a given gauge.

The factor group G/H are physically interesting "cross-coincidences"
between two different observers Alice and Bob in arbitrary relative
motion. That is, with r(t) as the impact parameter of the near
collision of Alice and Bob, G/H describes at least some d^nr/dt^n =/=
0, whereas in the auto-coincidences all those derivatives are zero.

On Jul 11, 2005, at 3:33 PM, Jack Sarfatti wrote:

General covariance in gravity theory keeping point coincidences
invariant is the group G.

http://philsci-archive.pitt.edu/archive/00000380/00/NortonGCGTKO.pdf

However, there are TWO classes of these point coincidences.

H is the normal subgroup of trivial point coincidences of the observer
Alice with herself. Call these "auto-coincidences". They are like the EM
gauge transformations in a given gauge.

The factor group G/H are physically interesting "cross-coincidences"
between two different observers Alice and Bob in arbitrary relative
motion. That is, with r(t) as the impact parameter of the near collision
of Alice and Bob, G/H describes at least some d^nr/dt^n =/= 0, whereas
in the auto-coincidences all those derivatives are zero.