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criticisms of the einstein field equation - Alpha Institute for Advanced ...

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2.6. SPIN CONNECTION RESONANCE<br />

∂2φ ∂φ<br />

+ 2β<br />

∂r2 ∂r + ω2 0φ = −ρ<br />

. (2.162)<br />

ɛ0<br />

There is freedom <strong>of</strong> choice <strong>of</strong> <strong>the</strong> spin connection. The latter was unknown in<br />

electrodynamics prior to ECE <strong>the</strong>ory and must ultimately be determined experimentally.<br />

An example <strong>of</strong> this procedure is given in paper 94, where spin<br />

connection resonance (SCR) <strong>the</strong>ory is applied to a patented device. One <strong>of</strong> <strong>the</strong><br />

papers published in <strong>the</strong> standard model literature [26] applies SCR to magnetic<br />

motors that are driven by space-time. It is probable that SCR was also discovered<br />

and demonstrated by Tesla [28], but empirically be<strong>for</strong>e <strong>the</strong> emergence<br />

<strong>of</strong> relativity <strong>the</strong>ory. SCR has also been applied to gravitation and published<br />

in <strong>the</strong> standard model literature [27]. So a gradual loosening <strong>of</strong> <strong>the</strong> ties to <strong>the</strong><br />

standard model is being observed at present.<br />

In paper 92 <strong>of</strong> <strong>the</strong> ECE series (www.aias.us), Eq. (2.160) was fur<strong>the</strong>r considered<br />

and shown to reduce to an Euler Bernoulli resonance <strong>equation</strong> <strong>of</strong> <strong>the</strong><br />

general type:<br />

d2x dx<br />

+ 2β<br />

dr2 dr + κ20x = A cos(κr) (2.163)<br />

in which β plays <strong>the</strong> role <strong>of</strong> friction coefficient, κ0 is a Hooke’s law wave-number<br />

and in which <strong>the</strong> right hand side is a cosinal driving term. Eq. (2.160) reduces<br />

to Eq. (2.163) when:<br />

ωr = 2<br />

<br />

β − 1<br />

r<br />

<br />

, κ 2 0 = 4<br />

r<br />

<br />

β − 1<br />

<br />

+<br />

r<br />

∂ωr<br />

∂r<br />

(2.164)<br />

There<strong>for</strong>e <strong>the</strong> condition udner which <strong>the</strong> spin connection gives <strong>the</strong> simple resonance<br />

Eq. (2.163) is defined by:<br />

ωr = κ 2 0 − 4β loge r − 4<br />

. (2.165)<br />

r<br />

Reduction to <strong>the</strong> standard model Coulomb law occurs when:<br />

when<br />

β = 1<br />

r<br />

(2.166)<br />

ωr = 0, κ 2 0 = 0. (2.167)<br />

In general <strong>the</strong>re is no reason to assume that condition (2.166) always holds. The<br />

reason why <strong>the</strong> standard model Coulomb law is so accurate in <strong>the</strong> laboratory<br />

is that it is tested <strong>of</strong>f resonance. In this <strong>of</strong>f resonant limit <strong>the</strong> ECE <strong>the</strong>ory<br />

has been shown [1, 12] to give <strong>the</strong> Standard Coulomb law as required by a vast<br />

amount <strong>of</strong> accumulated data <strong>of</strong> two centuries since Coulomb first inferred <strong>the</strong><br />

law. In general, ECE <strong>the</strong>ory has been shown to reduce to all <strong>the</strong> known laws <strong>of</strong><br />

40

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