[quote=hecd2]It’s already been done: Ciufolini & Pavlis ‘A confirmation of the general relativistic prediction of the Lense–Thirring effect’ Nature 431, 958–960 (2004), with this abstract:
Fascinating. Something else that is fascinating . . .
A theorist named Hans Montanus has shown that you can contsruct a physical theory that makes the same predictions as GR but in an absolute Euclidean space-time:
Hans Montanus. General Relativity in an Absolute Euclidean Space-Time. Physics Essays, vol. 8, 1995. Abstract is as follows:
We will consider two phenomena well known from the general theory of relativity in an absolute Euclidean spacetime. From the mathematical point of view a Euclidean spacetime can be obtained from a Minkowski spacetime by means of a simple rearrangement procedure. We will make use of this procedure to derive the Euclidean spacetime analog of the Schwarzschild metric. From this metric, or rather from its corresponding Lagrangian, we will derive the expressions for the deflection of light and the precession of perihelia of planets in an absolute Eucliean spacetime. The results are striking. That is, we arrive at the same expressions as found in the general theory of relativity. The prediction of these values has always been regarded as a success of the general theory of relativity. Our results, however, show that the agreement between observed and the predicted values also supports the absolute Euclidean spacetime theory.
Hans Montanus. Arguments Against the General Theory of Relativity and For a Flat Altemative. Physics Essays, vol. 10, 1997. Abstract is as follows:
In this paper we will offer decisive arguments against the general theory of relativity. We will also offer an alternative model for gravitation; that is, we will construct the appropriate Lagrangian for the description of gravitational dynamics in an absolute Euclidean space-time. This Lagrangian leads to the correct predictions for the gravitational time dilation, the gravitational redshift, the deflection of light, and the precession of the perihelia of planets. In this alternative model for gravitation we do not need the concept of a curved space-time. Our flat, ablsolute, and Euclidean alternative excludes the possibility of black holes, Einstein-Rosen bridges, and other exotic consequences of the theory of relativity.
It goes without saying that his alternative approach wouldn’t sit well with the Standard Model folks. I mean whoah!
I don’t know how this would or does fit together with the Hoyle-Narlikar solution of the Einstein metric tensor, which also results in a theory with an absolute Euclidean space-time, wherein the mass of fundamental particles varies with their age. Maybe the two theories are complimentary.
In any case, watch out Standard Model! Or perhaps not. We’ll just have to wait and see . . .