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

4 1 Spin Connection Resonance in the Bedini Machine
which can be integrated to give a resonance equation. It is also possible to
produce a time dependent resonance equation from Eqs. (1.1) and (1.6). The
Ampère Maxwell law (1.6) is considered to produce a driving term:
∂E
∂t = c2 (∇ × B − µ0J) driving = −∇ ∂φ
∂t − ∂2A ∂t2 − ∂ 0 ∂
cω A +
∂t ∂t (cφω)
so that the most general resonance equation of time-dependent type is:
∂2A ∂A
+ c∂ω0 A + cω0
∂t2 ∂t ∂t
= c∂φω
+ cφ∂ω
∂t ∂t + c2 µ0J
− ∇ ∂φ
∂t − c2∇ × B.
If there is no charge and current density this equation reduces to:
(1.10)
(1.11)
∂2A ∂A
+ cω0 + c∂ω0
∂t2 ∂t ∂t A = −c2 (∇ × B) driving . (1.12)
There is resonance in A under the following conditions:
1. the scalar part, ω 0 , of the spin connection is non-zero,
2. the time derivative, ∂ω0
∂t , is non-zero,
3. the curl ∇ × B is non-zero and also time dependent.
When investigating various claims such as the Bedini machine it is necessary
to use equations such as this, which show for example that the magnetic
field in the design must be both space and time dependent, and produced
by a device that satisfies these requirements. That is an example of a design
prediction of ECE theory in engineering.
In addition to Eq. (1.6) there exists the Coulomb law (1.2), which is the
resonance equation [1–10]: [1–10]
∇ · cφω − ∇φ − ∂A
∂t − cω0
A = ρ
. (1.13)
ɛ0
In the absence of charge this equation reduces to:
∂A
∇ ·
∂t + cω0
A = 0 (1.14)