Spin Connection Resonance in the Bedini Machine - Alpha Institute ...
Spin Connection Resonance in the Bedini Machine - Alpha Institute ...
Spin Connection Resonance in the Bedini Machine - Alpha Institute ...
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16 1 <strong>Sp<strong>in</strong></strong> <strong>Connection</strong> <strong>Resonance</strong> <strong>in</strong> <strong>the</strong> Bed<strong>in</strong>i Mach<strong>in</strong>e<br />
1.4.4 Computation of <strong>the</strong> energy balance<br />
The <strong>the</strong>ory should provide a method to estimate <strong>the</strong> energy balance of <strong>the</strong><br />
Bed<strong>in</strong>i mach<strong>in</strong>e. Accord<strong>in</strong>g to <strong>the</strong> previous section it is assumed that <strong>the</strong><br />
excess energy comes from <strong>the</strong> spacetime processes <strong>in</strong> <strong>the</strong> extended unit volume,<br />
where <strong>the</strong>y are evoked by <strong>the</strong> transducer. So a calculation has to compare<br />
<strong>the</strong> energy density of <strong>the</strong> <strong>in</strong>put fields (E)driv<strong>in</strong>g or (B)driv<strong>in</strong>g to <strong>the</strong> energy of<br />
<strong>the</strong> total fields be<strong>in</strong>g present <strong>in</strong> <strong>the</strong> resonance case. The result may depend on<br />
whe<strong>the</strong>r we consider <strong>the</strong> energy of <strong>the</strong> force fields only or whe<strong>the</strong>r we <strong>in</strong>clude<br />
<strong>the</strong> effects on <strong>the</strong> spacetime potential A. In <strong>the</strong> first case we can def<strong>in</strong>e <strong>the</strong><br />
energy densities for <strong>in</strong>put and output:<br />
u<strong>in</strong> = ɛ0<br />
2 (E2 )driv<strong>in</strong>g + 1<br />
(B<br />
2µ0<br />
2 )driv<strong>in</strong>g, (1.68)<br />
uout = ɛ0<br />
2 E2 + 1<br />
B<br />
2µ0<br />
2 . (1.69)<br />
The result<strong>in</strong>g total energies <strong>the</strong>n are obta<strong>in</strong>ed by <strong>in</strong>tegrat<strong>in</strong>g over <strong>the</strong> unit<br />
volume and time:<br />
<br />
E<strong>in</strong> = u<strong>in</strong> d 3 rdt (1.70)<br />
<br />
Eout = uout d 3 rdt (1.71)<br />
and <strong>the</strong> “coefficient of performance” is<br />
COP = Eout<br />
. (1.72)<br />
E<strong>in</strong><br />
Alternatively, <strong>the</strong> output energy can be related to <strong>the</strong> spacetime potential.<br />
From <strong>the</strong> m<strong>in</strong>imal prescription of momentum density p<br />
p → p + eA (1.73)<br />
we can def<strong>in</strong>e <strong>the</strong> k<strong>in</strong>etic energy density of <strong>the</strong> field by<br />
u = e2 A 2<br />
2m<br />
(1.74)<br />
where m is <strong>the</strong> “mass” of <strong>the</strong> field volume. Accord<strong>in</strong>g to <strong>the</strong> de Broglie equation<br />
m = ω<br />
c 2<br />
(1.75)