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On 5 Apr, 10:18, Loui...@edu.herlufsholm.dk wrote:
> A Maxwell-analogous Gravitational Theory with two gravitational
> fields.
>
> By Louis Nielsen    Denmark        http://www.rostra.dk/louis
>
> More than thirty five years ago I suggested a Maxwell-analogous
> gravitational theory with two gravitational fields. The two fields are
> the 'gravito-static' field of Newton and the 'gravito-magnetic' field,
> which is a vector rotation-field. The two fields exist around matter
> in relative motions.
> In my treatise I show that the four field equations, which must be
> fulfilled by the 'gravito-static' field and the 'gravito-magnetic'
> field, are mathematical identical to Maxwell's electromagnetic
> equations.
> I show that the four field equations and the 'gravitational Lorentz-
> force equation' can be derived as a consequence of:
>
> 1) The gravito-static force law of Newton,
>
> 2) The transformation equations for positions, times, velocities, and
> forces as given in the special theory of relativity,
>
> 3) The assumption that the 'gravitational mass' is Lorentz invariant.
>
> In the equations I introduce a quantity, the 'gravito-magnetic
> permeability' coupled to the 'gravito- magnetic' field. The 'gravito-
> magnetic permeability' has connection to the gravitational constant of
> Newton and the propagation velocity of the gravitational fields
> (gravitational waves).
>
> According to my quantum-cosmological theory (see my treatise) Newton's
> gravitational 'constant' is not a constant but is decreasing along
> with the expansion of the Universe.
> If the propagation velocity of the gravitational fields does not
> change in cosmic time then it has as a consequence that also the
> 'gravito-magnetic permeability' is a decreasing quantity along with
> the expansion of the Universe.
> In our epoch the 'gravito-magnetic' fields are extremely small around
> moving bodies from daily life, and they are difficult to measure. But
> around massive bodies with high masses and great velocities there
> exist measurable 'gravito-magnetic' fields, f.i. around neutron-stars,
> quasars, black holes etc.
>
> In earlier epochs of the cosmic evolution of the Universe the
> magnitude of the 'gravito-magnetic' fields were higher. As we look
> back in time to distant objects in the Universe, these objects moves
> in more and more intense and strong cosmic 'gravito-magnetic' fields,
> which give a lot of astrophysical consequences and which can give
> explanation of different observations.
>
> You can study my mathematical derivation of the gravitational field-
> equations in part 6 of my treatise:
>
>    http://www.rostra.dk/louis/
>
> Comments are welcome.
>
> Best regards
> Louis Nielsen, Denmark

The Earth has been in existence for 4.55e9 years. It travels round the
Sun at 30km/s or c/10000. Maxwells equations predict dipole radiation
giving a maximum time of 100 million years for the existence of Earth.
Thus gravitational waves cannot be dipolar. The tensor in Maxwell's
equation is secong order (X(ij)) Gravitational waves are indeed
analogous to Maxwell but have Tensors X(i,j,k,l). A wave equation can
be constructed from curvature tensors. Gravitational waves are
therefore quadupolar. Tipolar waves are mathematically impossible, the
next is quadrupolar. GWs are quadrupolar.

This in fact tells ua that to detect them it is critical to have our
masses at least a radian apart. Thatr is why LISA is so vital.

The Earth is here. Maxwell's simple analogue cannot reflect
experiment.


  - Ian Parker