Spin Connection Resonance in the Bedini Machine - Alpha Institute ...

32 Appendix 2: Derivation of the Electric Field in Vector Notation
where
and
where
AX = A 1 1, AY = A 2 2, AZ = A 3 3. (B.10)
ω = ωXi + ωY j + ωZk. (B.11)
ωX = ω 1 10, ωY = ω 2 20, ωZ = ω 3 30. (B.12)
The scalar part of the spin connection is defined by:
and the scalar potential is defined by:
cω 0 = −ω 1 01 = −ω 2 02 = −ω 3 03
(B.13)
cφ = −A 0 0. (B.14)
So the electric and magnetic field in general relativity (ECE theory) are:
E = −∇φ − ∂A
∂t − cω0 A + cωφ. (B.15)
B = ∇ × A − ω × A. (B.16)