Re: Jack Sarfatti bio

I never heard of Sardanashvily. So I surely do not realize it. My work is completely original not influenced by others. Thanks for the references. :-)

Here is what I claim in a nutshell.

The Einstein-Cartan tetrad 1-forms are

e^a = I^a + @A^a

a = 0,1,2,3

e^a = e^^audx^u

@ is a dimensionless coupling

@ = (hG/\zpf/c^3)^1/2

/\zpf is Einstein's cosmological constant

A^a is a spin 1 vector field as a quantum field.

I^a is the tetrad for globally flat Minkowski spacetime.

Einstein's fundamental local invariant is

ds^2 = e^aea (raise & lower a,b with Minkowski metric)

= I^aIa + @(I^aAa + A^aIa) + @^2A^aAa

Einstein's GR tensors have quadratic terms in the A's. In quantum theory in the metric field

1 + 1 = 2 + 1 + 0 group theory reps of O(3)

so quantum geometrodynamic fluctuations will be spin 2, spin 1 & spin 0.

The 6 spin-connection 1-forms are

S^a^b = - S^b^a

The torsion field 2-form is

T^a = de^a + S^ab/\e^b

In Einstein's 1915 GR

T^a = 0 of course.

The curvature 2-form is

R^a^b = dS^a^b + S^ac/\S^cb

The Einstein-Hilbert action density is

*(R^a^b/\e^c/\e^d + /\zpfe^a/\e^b/\e^c/\e^d)

* = Hodge dual

OK I introduce the M-Matrix - this is new.

M^a^b = Theta^a/\dPhi^b - dTheta^a/\Phi^b

i.e. 8 Goldstone phase 0-forms Theta^a & Phi^b

M^a^b is a matrix of non-closed 1-forms

dM^a^b = 2dTheta^/\dPhi^b

I then claim that the warped tetrads are

A^a ~ M^a^a diagonals of the M-Matrix

Spin connections are

S^a^b ~ M^[a,b] = - S^b^a

From the local gauge POV

A^a is from locally gauging 4-parameter T4

with 16 components A^au

S^a^b is from locally gauging 6-parameter O(1,3) with 24 components S^a^bu
.

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