## The Galois Solvable Fourth Roots of Reality

**Authors:** Jack Sarfatti

Local observers are defined by orthonormal "non-holonomic" (aka "non-coordinate")
tetrad gravity fields (Cartan's "moving frames"). The tetrads are spin 1 vector fields
under the 6-parameter homogeneous Lorentz group SO_{1,3} of Einstein's 1905 special
relativity. You can think of the tetrad gravity fields as the square roots of Einstein's 1916
spin 2 metric tensor gravity fields. We will see that we must also allow for spin 0 and spin
1 gravity because the spin 1 tetrads, in turn, are Einstein-Podolsky-Rosen entangled
quantum states of pairs of 2-component Penrose-Rindler qubits in the quantum pregeometry.
The Wheeler-Feynman qubits are the square roots of the advanced and
retarded null tetrads and can therefore be called the Galois solvable fourth roots of
reality. The spherical wavefront tetrads are then formally the Bell pair states of quantum
information theory. Penrose's Cartesian tetrads are a different choice from mine here.
The different tetrad choices correspond to the different contours around the photon
propagator poles in the complex energy plane of quantum electrodynamics. Both of his
spinors in his spin frame are retarded in the same light cone, e.g. the forward cone. It
seems that Penrose and Rindler implicitly answered Wheeler's question of how IT comes
from BIT, but no one realized it until now.

**Comments:** 8 pages

**Download:** **PDF**

### Submission history

[v1] 14 May 2010

[v2] 17 May 2010

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