If I understood correctly, the effect has been now firmly re-established in the case of the Earth's electric field (see this). The electric field would be created by a static dipole assignable to the magnetic field of the Earth with respect to which the Earth rotates.
If my interpretation is correct, an analogous effect occurs also for the Faraday disk, which is a conductor disk rotating around its symmetry axis. Faraday observed that a very small radial electric field is generated with magnetic Eρ= ω B (c=1). This radial electric field field can be obtained from a vector potential At= ρω B. This generates electric charge density ρ= ω B inside the disk. This looks strange: how can rotation generate electric charge? Does this conform with Maxwell's laws?
- What comes to mind is that Maxwell's induction law implied by special relativity explains the effect. However, the rotation is not a rectilinear motion although the magnitude of the velocity is constant so that the effect is more general than predicted by the Faraday law. Furthermore, the magnetic field rotates and at least in quantum theory, nothing should happen if the rotational symmetry is exact.
- Could the charge generation be a dynamical phenomenon? Could there be a generation of a surface charge compensating for the charge density in the interior? The sign of this charge density depends on the direction of the rotation so that surface charge would be positive for the second direction of rotation. One would expect that the surface charge is negative since electrons are the charge carriers. Also a large parity violation would take place.
- In the TGD framework, space-time is a 4-surface and gauge fields are induced. so that their geometrization is obtained. This means that the electroweak vector potentials are the projection of the spinor connection of CP2. Let (cos(Θ),φ) be spherical coordinates for the geodesic sphere S2 of CP2. The Kähler gauge potential is Aφ= cos(Θ) and the Kähler form is JΘφ= sin(Θ). Introduce cylindrical coordinates (t,z,ρ,φ) for M4 and space-time surface.
- The simplest space-time surface describing the situation without rotation corresponds to the embedding (cos(Θ),φ) = (f(ρ),nφ), n integer. The non-vanishing component of the induced gauge potential is (Aφ= nf(ρ) and induced magnetic field is Bz= n∂ρf. The choice f=Bρ gives a constant magnetic field.
- The rotation of the space-time surface implies φ \rightarrow φ-ω t= nφ-ω t so that induced vector potential gets time component At= fω giving rise to electric field E= ρ ω B. This is what the Faraday law extended to curvilinear motion would give. One could interpret the Faraday effect as a direct evidence for the notion of induced gauge field (see this).
- Could there be a charge transfer between the disk and a third party? In TGD, the third party would be what I call field body, which plays a key role in the explanation of numerous anomalies. TGD predicts the possibility of both electric and magnetic bodies and magnetic bodies, which are space-time surfaces giving rise to the TGD counterparts of Maxwellian fields and gauge fields.
- The field bodies are carriers of macroscopic quantum phases with large effective Planck constant heff=nh0, h= (7!)2h0 (a good guess). For the electric field body, ℏem wouldbe proportional to a product of elementary particle charge q and large em charge Q associated with a negatively charged system such as DNA, cell, Earth, capacitor,.. giving rise to large scale electric field. For the gravitational magnetic body ℏgr would be proportional to a large mass M, such as the mass of the Earth or Sun and small mass m.
- Both signs for the charge for the rotating disk are in principle possible and are determined by the direction or the rotation but in living matter negative charge is typical and could be generated by Pollack effect transforming ordinary protons to dark protons at the gravitational or electric magnetic body associated with the system and inducing the generation of exclusion zone (EZ) with negative charge giving rise to electric field body carrying dark electrons. Reversal of the Pollack effect would bring the protons back. Electrons could be transferred to the electric body or return from it. This effect would mean a large parity breaking effect and could relate closely to the chiral selection in living matter. TGD indeed predicts large parity breaking effects since macroscopic electroweak fields are predicted to be possible.
For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.
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