How to Build a Warp Engine – Warping Space With Masses (1)

1. Warping space with masses

It all began with the Cavendish experiment. As Newton was saying two masses attract each other or as Einstein was saying a mass is warping the fabric of space-time.  Einstein predicted this effect in the GTR (General Theory of Relativity) and it was one of the first confirmations of the GTR (the eclipse of Sun of May 29, 1919 when the position of the stars near Sun was shifted by the gravitational attraction of the Sun itself). In a way this is similar to the deviation of the electron rays in an old TV set by the magnetic (or electric) fields in the deflection unit. Just that now the electron rays are replaced by light rays and the magnetic (or electric) field in the deflection unit is replaced by the gravitational field. Let us find some numerical values considering that the light ray is deflected by a gravitational field produced by mass situated near the ray of light.

As in all deflections by a field we have

$y=(at^2)/2$    and $x=v*t$  so that $y=a/2*(x/v)^2$
and therefore for $a=GM/r^2$  and $v=c$ we get

$y=GM/(2r^2 )*(x/c)^2$

From a numerical evaluation we obtain for a mass of 1 kg at a distance of $r=1$ meter from the ray, 1 meter long, the value of deflection of about $10^{-27}$ meter. This is something disappointing small but let us redo the computation for a light ray at a distance of just 1 nm from the mass. If the mass is situated again over a distance of 1 m then the bending of the ray is now $y=10^{-9} m=1 nm$ which could be detected with our possibilities.

No need for an interferometer, one could make an arrangement with the light ray situated initially at a distance of 1 nm from the planar mass, after a distance of 1 m, the ray will be bent enough to intersect the plane of the mass.  

Can we improve this, to make the effect o space bending bigger and easier detectable? We can use a ray of electrons that have been accelerated at a smaller speed: the smaller their speed, the more detectable the warping of the space. We can use the same arrangement as for the light ray or we can use an interferometer with electrons instead of light. I know interferometers with coherent electron rays do not exist until now, but this can be easy achieved.