Symmetry of gravitational field to electric field and Maxwell equation

AI Thread Summary
Symmetry plays a crucial role in discovering new physical laws, as highlighted by Feynman. The equations governing electric and gravitational fields exhibit notable similarities, suggesting a potential relationship. This raises the possibility that gravitational fields may be associated with an unknown field, possibly dark energy, that could be described by analogous equations to Maxwell's. Experimental verification of this unknown field is necessary to advance understanding. The concept of gravitoelectromagnetism is relevant to this discussion, indicating a potential framework for exploring these relationships.
PBTR3
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Symmetry is an important way to find new physical laws according to Feynman. The equation that describes the electric field and the gravitational field are quite similar. Since the electric and magnetic fields are well defined by the Maxwell equations could it be possible, by symmetry, that the gravitational field has a related unknown field that could be described by a similar set of equations.

The unknown field could be dark energy or something else.

Now all I need to do is experimetally verify that that field exists.

PBTR3
 
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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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