Warping of the space-time surface explains the variation of Newton's constant
Esa Ruoho has been studying Allais effect and has sent excellent and very inspiring questions related to the Allais effect. His questions have led to rather detailed and highly predictive TGD based model for the Allais effect (see this) based on the notion of warping distinguishing between GRT and TGD.
One of the latest questions whether the predicted large reduction of the light velocity, which is due to warping made possible only for space-times identified as 4-surfaces, could reflect itself in the value of the gravitational constant G.
I looked more closely to see if warping, which predicts that the speed of light can have values c#≤c, could explain the far too large variation associated with G measurements. Warping really affects the measured value of G.
- Warping does not affect the gradient of the gravitational potential to which the gravitational force is proportional. However, it causes a small change in gtt and therefore in gtt and it affects the Christoffel symbols as a scaling and would scale the value of the gravitational force, i.e. the value of G measured in the GRT based or Newtonian framework.
- The gravitational acceleration predicted by GRT is given by
GM/[r2gtt1/2]
gtt= 1-GMR/c2r = c#2 and extremely close to value 1 for the solar system.
gtt=c#2→ gtt -R2×ω2 .
The change of gtt can be much larger than the very small deviation of gtt from 1 predicted by GRT. a is large and gives a scaling to G that varies depending on the situation because warping is critical so c#2 fluctuates.
The parameter R×ω can be large and can be measured from the anomaly of G. Geff= G/1-R2ω2 as a good approximation and ωR can therefore be measured. See the article Allais effect again or the chapter with the same title.
For a summary of earlier postings see Latest progress in TGD.
For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.
Source: https://matpitka.blogspot.com/2026/05/warping-of-space-time-surface-explains.html
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