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

6 1 Spin Connection Resonance in the Bedini Machine
1.3 Systematic Evaluation of Equations for the Bedini
Machine
If no scalar potential is present, the ECE field equations (1.1–1.6) in the base
manifold take the simple form:
with the definition equations
∇ × E + ˙B = 0 (1.21)
∇ × B − 1
c 2 ˙E = 0 (1.22)
∇ · B = 0 (1.23)
∇ · E = 0 (1.24)
B = ∇ × A − ω × A (1.25)
E = − ˙A − cω 0 A. (1.26)
Here the dot denotes the time derivative, A is the vector potential, ω the
vector spin connection and ω 0 the scalar spin connection, both in units of
1/m. It is more convenient to transform the scalar spin connection to a time
frequency:
ω0 := cω 0 . (1.27)
Eqs. (1.21-1.24) represent a system of eight equations and by the right-hand
side of Eqs. (1.25-1.26) seven variables are defined. In the most general case
the scalar potential Φ is the eights variable so that (1.21)–(1.24) can be
solved uniquely. Here we restrict consideration to the case without charges
and therefore without a scalar potential.
In classical electrodynamics we have the same equations, but without the
spin connection. This leads to an inconsistency for solving the equations.
Sometimes solely the fields E and B are considered, then only the equations
(1.21)–(1.22) can be used. The Gauss and Coulomb law are tried to be handled
as “constraints”, but this leads to an over-determined equation system. In
other cases (when charges and currents are present) the potentials A and