Text Size

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

There no is question that Kibble, building on the work of Utiyama, did this formally in his 1961 paper. There is no point in denying that. But there is a trick here, having something to do I suspect with the construction of the covariant derivative.

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.

We've been here before. The criticisms of Kibble's use of passive coordinate displacements made by Hehl et al, are well known. Hehl in particular starts with active diffeomorphisms and ends up with precisely the same Einstein-Cartan type theory.

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.

Kibble's method works formally, but I suspect that Hehl's gauge theoretic argument is logically and mathematically sound whereas Kibble's is not -- although it may look OK on the surface.

Prove it.

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

If localizing the group T4 of coordinate displacements just yields a larger class of coordinate transformations, then why doesn't the same apply to the Poincare group?

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

Utiyama?

Yes, thanks
Category: MyBlog

Categories ...

't Hooft 100 Year Star Ship Abner Shimony accelerometers action-reaction principle Aephraim Sternberg Alan Turing Albert Einstein Alpha Magnetic Spectrometer American Institute of Physics Andrija Puharich Anthony Valentin Anton Zeilinger Antony Valentini anyon Apple Computer Artificial Intelligence Asher Peres Back From The Future Basil Hiley Bell's theorem Ben Affleck Ben Libet Bernard Carr Bill Clinton black body radiation Black Hole black hole firewall black hole information paradox black holes Bohm brain waves Brian Josephson Broadwell Cambridge University Carnot Heat Engine Central Intelligence Agency CIA Clive Prince closed time like curves coherent quantum state Consciousness conservation laws Cosmic Landscape Cosmological Constant cosmology CTC cyber-bullying Dancing Wu Li Masters Dark Energy Dark Matter DARPA Daryl Bem David Bohm David Deutsch David Gross David Kaiser David Neyland David Tong de Sitter horizon Dean Radin Deepak Chopra delayed choice Demetrios A. Kalamidas Demetrios Kalamidas Dennis Sciama Destiny Matrix Dick Bierman Doppler radars E8 group Einstein's curved spacetime gravity Einstein's happiest thought electromagnetism Eli Cartan EMP Nuclear Attack entanglement signals ER=EPR Eric Davis Ernst Mach ET Eternal Chaotic Inflation evaporating black holes Facebook Faster-Than-Light Signals? fictitious force firewall paradox flying saucers FQXi Frank Tipler Frank Wilczek Fred Alan Wolf Free Will G.'t Hooft Garrett Moddel Gary Zukav gauge theory general relativity Geometrodynamics Gerard 't Hooft Giancarlo Ghirardi God Goldstone theorem gravimagnetism gravity Gravity - the movie gravity gradiometers gravity tetrads Gravity Waves Gregory Corso gyroscopes hacking quantum cryptographs Hagen Kleinert Hal Puthoff Hawking radiation Heisenberg Henry Stapp Herbert Gold Higgs boson Higgs field hologram universe Horizon How the Hippies Saved Physics I.J. Good ICBMs Igor Novikov inertial forces inertial navigation Inquisition Internet Iphone Iran Isaac Newton Israel Jack Sarfatti Jacques Vallee James F. Woodward James Woodward JASON Dept of Defense Jeffrey Bub Jesse Ventura Jim Woodward John Archibald Wheeler John Baez John Cramer John S. Bell Ken Peacock Kip Thorne Kornel Lanczos La Boheme Laputa Large Hadron Collider Lenny Susskind Leonard Susskind Levi-Civita connection LHC CERN libel Louis de Broglie Lubos Motl LUX Lynn Picknett M-Theory Mach's Principle Mae Jemison Making Starships and Star Gates Martin Rees Mathematical Mind MATRIX Matter-AntiMatter Asymmetry Max Tegmark Menas Kafatos Michael Persinger Michael Towler microtubules Milky way MIT MOSSAD multiverse NASA Nick Bostrum Nick Herbert Nobel Prize nonlocality Obama organized-stalking Origin of Inertia P. A. M. Dirac P.K.Dick P.W. Anderson Paranormal parapsychology Paul Werbos Perimeter Institute Petraeus Physical Review Letters Physics Today Post-Quantum Physics pre-Big Bang precognition presponse PSI WARS Psychic Repression qualia Quantum Chromodynamics quantum computers quantum entanglement quantum field theory quantum gravity Quantum Information Theory Quantum Theory RAF Spitfires Ray Chiao Red Chinese Remote Viewing retrocausality Reviews of Modern Physics Richard Feynman Richard P. Feynman Rindler effect Robert Anton Wilson Robert Bigelow Roger Penrose rotating black holes Roy Glauber Rupert Sheldrake Russell Targ Ruth Elinor Kastner S-Matrix Sagnac effect Sam Ting Sanford Underground Research Facility Sarfatti Lectures in Physics Scientific American Second Law of Thermodynamics Seth Lloyd signal nonlocality Skinwalker Ranch social networks space drive space-time crystal SPECTRA - UFO COMPUTER spontaneous broken symmetry SRI Remote Viewing Experiments Stanford Physics Stanford Research Institute Star Gate Star Ship Star Trek Q Stargate Starship Stephen Hawking Steven Weinberg stretched membrane string theory strong force gluons Stuart Hameroff superconducting meta-material supersymmetry symmetries telepathy Templeton The Guardian Thought Police time crystal time travel topological computers Topological Computing torsion UFO Unitarity unitary S-Matrix false? Unruh effect Uri Geller VALIS virtual particle Virtual Reality Warp Drive weak force Wheeler-Feynman WIMP WMAP WMD world crystal lattice wormhole Yakir Aharonov Yuri Milner