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R. Kiehn's "physical vacuum" and my "emergent gravity."
Kiehn is not easy to read, but I am beginning to get a handle on what he
is trying to say and how it relates to my emergent gravity theory in my equations below: When I claim to have derived Einstein's theory of curvature gravity extended to torsion (Kibble 1961) as an emergent theory I mean precisely 1. C^a^b = A^adB^b  B^bdA^a 2. e^a = I^a + C^a^a EinsteinCartan tetrad 1forms 3. W^a^b = C^a^b  C^b^a spinconnection 1forms Where A^a and B^b are 8 0form Goldstone phases of a 9 real component Higgs vacuum ODLRO field. 4. T^a = de^a + W^ac/\e^c KibbleShipov torsion 2form 5. R^a^b = dW^a^b + W^ac/\W^c^b Curvature 2form for geodesic deviation 6. L(EinsteinHilbertCartan) = {abcd}R^a^b/\e^c/\e^d Action Density for the Free Gravity Field 7. Universal minimal coupling of gravity field to all nongravity fields using the equivalence principle in which all Minkowski metrics nab in the nongravity actions are replaced by guv = eu^aev^bnab i.e. in local invariant form ds^2 = guvdx^udx^v = e^aea The EIGHT FOLD WAY of the Goldstone phases (0forms A^a & B^b) are part of THE NINE real Higgs fields. ï¿¼ http://www.physics.gla.ac.uk/ppt/ind...arch/higgs.htm The above simplest case is n = 2 where the vacuum manifold is S1' and closed loops S1 surround line (vortex) defects, which have stable quantized BohrSommerfeld circulation because the first homotopy group mappings H1(S1  S1') = Z(integer winding numbers). i.e. n = number of real Higgs field local order parameters of the coherent vacuum zero point energy damping down the cosmological constant. n  1 = number of independent Goldstone phases. This is first order homotopy for stable defects 1 + dimension of stable defect + dimension of hypersurface surrounding defect = dimension of spacelike slice. for 3D space, above picture is for quantized string vortex defects surrounded by closed loops. In world lattice in 3D space, it's closed 3D surfaces surrounding point defects. In 9D space you have a lot of BRANE choices. Kiehn is concerned with topology change beyond reversible diffeomorphisms, hence an extension of Einstein's gravity to include the irreversible arrow of time. More on this anon. His definition of vacuum is odd. He seems to want a square matrix of 0forms with nonvanishing determinant. My Goldstone phase 0forms are not a square matrix. Also he has "action" as a 1form. The EinsteinHilbert field action is a 0form. However, I can relate to other things he says when he gets to 1forms and 2forms and then even to 3forms. My Kibble tetrads and spin connections are 1forms from localizing T4xO(1,3) are all encoded in the matrix C^a^b above. The torsion T^a is a 2form. The curvature R^a^b is a 2form. We can make 3forms like e^a/\T^b etc. later ... I don't yet understand how to calculate the Pfaffians. Jack Sarfatti "If we knew what it was we were doing, it would not be called research, would it?"  Albert Einstein 
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