Nehru's calculation of gravitional deflection incorrect?

[StevenO]

Hi All,

I was recently discussing results of RST compared to GR.

For the gravitational deflection of lightrays by the sun KVK Nehru calculates that the GR results should be corrected with a factor 3/pi, so the results of RST would be 1.67 arcseconds versus 1.75 arcseconds for GR. It can all be found in this article: www.reciprocalsystem.com/rs/cwkvk/deflect.htm. He reports contemporary measurements to be in the range of 1.5-1.8 (while we are talking 1981).

Now in the meantime measurement accuracies have improved and the result of GR has been proven with an accuracy of 0.01%.

So it looks this correction factor 3/pi is incorrect. In another article, about the precession of planetary perihelia there seems to be some discrepancy between Larson and Nehru on this topic. To quote:

According to the Reciprocal System, an independent motion (like gravitation) of speed v has associated with it an increase of coordinate time amounting to v²/c² unit per each unit of clock time (c being the speed of light). [3] In order to calculate the excess orbital movement, Larson argues like this: “Since the gravitational motion is inward, the scalar space-time direction of the orbital motion is outward, and the computed time increase is radial. To obtain the circumferential space equivalent of this linear time increase, we must multiply by ¶.”[4]

Thus, according to Larson the total coordinate time increase is ¶ v²/c² s/s. In the quotation just cited, what Larson states regarding the scalar direction of the orbital motion as being outward, is understandable. But what the expression “the computed time increase is radial” is expected to connote is difficult to see. For, “...no matter how many dimensions it may have, time has no direction in space.” [5] To be sure, it is true that time has a property called ‘direction in time’, but this is a purely temporal property and ‘directions in time’are not in any way determined by directions in space. Consequently, the coordinate time increase associated with gravitation (or with any independent motion) is a scalar addition. The words “...to obtain the circumferential space equivalent of this linear time increase, we multiply by ¶,” do not, therefore, depict the truth, except pointing out that the necessity of having to include in the calculations a factor amounting to ¶ has been recognized.

The true state of affairs can be understood if we recall that gravitation is a three-dimensional scalar motion. If v is the gravitational speed, then the coordinate time increase per each scalar dimension is v²/c². The total coordinate time increase, therefore, is 3 v²/c². The orbital motion of the planet is one-dimensional (scalar). As such, the effective coordinate time increase, as applied to the orbital motion, is 3 v²/c². The same is true in any other case where the motion is one-dimensional, like, for example, that of a photon grazing the sun. On the other hand, if we are considering the effect of the coordinate time increase due to gravitation on an atom situated in the gravitational field, the result is different. Since the atomic rotation is three-dimensional, the coordinate time increase effective per dimension is 3 v²/c² / 3 = v²/c² only. This is the value which causes the gravitational redshift, for instance.

The article can be found here: www.reciprocalsystem.com/rs/cwkvk/precplanetperi.htm

I think the discrepancy is due to differences in geometric interpretation of the time region motions.

Now with the increased knowledge on geometries from RS2, could be prove that the 3/pi correction factor is not correct?

Any help on this topic is welcome.

Steven

[StevenO]

Actually I have found the solution. The numbers used for the sun (location, size, mass) in SR/GR calculations are off by 4% due to an error in the gamma transformation factor as used by Lorentz and Einstein.

I'll report on that later.

[Horace]

Steven,

Very nice thinking.

I look forward to reading more on this