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

2.7. EFFECTS OF GRAVITATION ON OPTICS AND SPECTROSCOPY
model law of induction of Faraday is:
∇ × E + ∂B
= 0 (2.169)
∂t
and spinning the magnetic field about its own axis does not produce a nonzero
curl of the electric field as required. Clearly, a static magnetic field will
not cause induction from Eq. (2.169). So this is a weak point of the standard
model, in which induction is caused in the classical textbook description by
moving a bar magnet inside a coil, causing a current to appear. In ECE it has
been shown [1,12] that the explanation of the Faraday disk generator is simply:
F = F e/m + F mech
which in vector notation (section 2.5) produces the law of induction:
∇ × Emech + ∂Bmech
∂t
(2.170)
= 0. (2.171)
Spinning the disk has the following effect in ECE theory.
In the complex circular basis [1,12] the magnetic flux density in ECE theory
is defined by:
B (1)∗ = ∇ × A (1)∗ − i κ
A (0) A(2) × A (3)
(2.172)
B (2)∗ = ∇ × A (2)∗ − i κ
A (0) A(3) × A (1)
(2.173)
B (3)∗ = ∇ × A (3)∗ − i κ
A (0) A(1) × A (2)
(2.174)
where
κ = Ω
(2.175)
c
is a wave-number and Ω is an angular frequency in radians per second. When the
disk is stationary the ECE vector potential is [1,12] proportional by fundamental
hypothesis to the tetrad:
A (1) = A (0) q (1)
A (2) = A (0) q (2)
(2.176)
(2.177)
A (3) = A (0) q (3) . (2.178)
In the complex circular basis the tetrads are:
q (1) = 1
√ 2 (i − ij), (2.179)
q (2) = 1
√ 2 (i + ij), (2.180)
q (3) = k, (2.181)
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