Einstein's GR as a Gauge Theory and Shipov's Torsion Field

From: Jack Sarfatti (sarfatti_at_pacbell.net)
Date: 02/25/05 

Date: Fri, 25 Feb 2005 02:23:17 GMT

Z: Look Jack, if the frame-independent differential inertial clock
retardation that you yourself say exists in SR also appears in GR, then
that means you still have a preferred inertial frame in GR.

J: Where do you get such illogical ideas?

ds/c = the frame-independent differential inertial clock retardation

ds^2 = guv(LNIF at P)dx^udx^v = nab(LIF at P)dx^adx^b = (&u^a +
Bu^a)nab(&v^b + Bv^b) = EEP

Self-interaction of gravity is in the terms quadratic in Bu^a.

x^u(P) is an LNIF non-geodesic coordinate chart at P

x^a(P) is an LIF geodesic coordinate chart at SAME EVENT P.

Do not confuse EVENT P with manifold point p. Rovelli discusses this in
his Quantum Gravity book.

Diff(4) connects different LNIFs together at the SAME P in u base space.

O(1,3) connects different LIFs together again at the SAME P in a tangent
space.

eu^a(P) is the Einstein-Cartan tetrad that connects a LIF and LNIF
together still again at the SAME P.

eu^a = &u^a + Bu^a

&u^a = holonomic tetrad

Bu^a = nonholonomic tetrad

Bu = bu^aPa/h = [U(1)em SBS Goldstone Phase of post-inflationary Higgs
Ocean],u

Pa generates T4

Bu = compensating gauge potential field of locally gauged T4

The gauge-covariant derivative is

Du = ,u - Bu ---> ;u = ,u - (LC)

Gauge transforms of Bu ---> Diff(4)

Ricci rotation coefficients are

Au^b^c = eu^aAa^b^c

If O(1,3) is not locally gauged, then C^b^c are GLOBAL CONSTANT PHASES,
i.e. zero Shipov torsion in

U[O(1,3)] = e^iC^b^cSbc/h

and Aa^b^c are also global constants.

Sbc generates O(1,3).

Locally gauge O(1,3) gives compensating dynamical field A*a^b^c, so now
we have the O(1,3) compensating gauge potential

Tu = eu^aA*a^b^cSbc/h = Gennady Shipov's torsion field.

i.e. A*u^b^c = eu^a(Aa^b^c + A*a^b^c) with additional dynamical degrees
of freedom not in 1916 GR

The gauge covariant derivative is now

D*u = Du - Tu ---> ;;u = ;u - Contortion

Diff(4)O(1,3) is replaced by a larger symmetry group of Gennady Shipov's
ORIENTED POINT in 10 real dimensions!

Remember Diff(4) comes from locally gauging global T4.

If Tu propagates then maybe there is something to Akimov's claims also
claimed in a more conservative way by Richard Hammond in Fargo, North
Dakota on a US Navy contract.

Relevant Pages

  • Einsteins GR as a Gauge Theory and Shipovs Torsion Field
    ... if the frame-independent differential inertial clock ... retardation that you yourself say exists in SR also appears in GR, ... eu^ais the Einstein-Cartan tetrad that connects a LIF and LNIF ... If Ois not locally gauged, then C^b^c are GLOBAL CONSTANT PHASES, ...
    (sci.astro)
  • Einsteins GR as a Gauge Theory and Shipovs Torsion Field
    ... if the frame-independent differential inertial clock ... retardation that you yourself say exists in SR also appears in GR, ... eu^ais the Einstein-Cartan tetrad that connects a LIF and LNIF ... If Ois not locally gauged, then C^b^c are GLOBAL CONSTANT PHASES, ...
    (sci.physics.relativity)