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On Aug 7, 2011, at 1:20 PM, Paul Zielinski wrote:

Show us. The covariant derivative is the choice of the connection field that you keep confounding with the gauge transformations because you have not gone through the algebra of the local gauging program with sufficient attention to detail.

The connection is never a tensor relative to the gauge group transformations.

The gauge covariant curl of the non-tensor connection is the physical tensor field.

A gauge transformation never morphs a zero tensor into a non-zero tensor. You are still confused about that.

Gauge transformations are single-valued 1-1 reversible non-singular redundant defining an equivalence class of solutions all with the same topology, homotopy, homology etc. They are merely Plato's shadows of the real Idea in The Cave.

What you are groping for, like the blinded Cyclops trashing about, is Hagen Kleinert's multi-valued singular topology-changing transformations.

Curvature changes are the creation and destruction of disclination topological defects in the 4D world crystal lattice of quantum gravity. Torsion changes are creation and destruction of dislocation topological defects in the same.

The two convert into each other as shown in detail by Hagen Kleinert.

So mass-energy-stress current densities are sources and sinks for these defects that are like Landau's "elementary excitations" and no doubt you can make an S-matrix theory of their collisions, mergers, splittings etc.

I mean quanta of curvature and torsion.

You are confused. The distinction you are looking for has nothing to do with "active" & "passive" single-valued diffeomorphisms, but with the topology-changing singular multivalued transformations of Hagen Kleinert - those only happened pumped by changes in mass-energy stress current densities.

Prove it.

On 8/7/2011 9:15 AM, Jack Sarfatti wrote:

It does. Umezawa localized Lorentz group got curvature declinations but put in GCT by hand. Kibble did whole Poincare got torsion + curvature.

Yes, thanks

Category: MyBlog

Written by Jack Sarfatti

Published on Sunday, 07 August 2011 15:53

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