Retired JPL physicist John D Anderson is back! He has, with his colleagues/team, found the linkage between LOD (Length Of Day) and the measured values of gravitational constant \(G\). LOD variations mean variations with the spinning frequency of Earth, ah, my first crush 😉 You better read the whole paper from IOPscience.
The conclusion is that smaller the Earth's spinning frequency greater the value of G. How is that possible? Or I should ask, how is that possible according to TOEBI? Because mainstream physics is pretty clueless about the question. There is no apparent reason why Earth's spinning frequency, caused by Earth originated reason, should affect conventional laboratory measurements of \(G\). By using quantum mechanical based measurements results differ, why? At least free fall measurements won't suffer from the following mechanism.
So, let's see what TOEBI can offer... at this point, qualitative. Relevant background information can be found from my previous blog posts (Dark Side - Part I & The Mechanism). Why smaller spinning rate of Earth increases the value of \(G\)? All the involved masses stay the same... first I thought that there would be changes with masses due to the possible changed FTE density caused by the decreased Earth's spinning rate.
Because the smaller Earth's spinning rate the amount of the ejected/deflected surrounding FTEPs is smaller. That indeed might change the FTE density (decrease) throughout Earth (in principle detectable phenomenon) but that's not affecting the \(G\) measurements by itself. However, there is another effect due to the decreased FTEP ejection/deflection.
Spinning particles generate a denser local FTE around them which is shown to us as particle mass, greater amount of FTEPs around an elementary particle means a higher mass for it. In special conditions, generated by high energy particle collisions, elementary particle can temporarily hold larger amount of these FTEPs around itself, e.g. muon. Nevertheless, the shape of those local particle FTE "bubbles" without any interacting outside FTEPs would be totally spherical.
Gravitating object most certainly affects the FTE "bubble" shape of a particle, it generates higher FTE density on the particle's side facing it. This is all described in those linked previous blog posts. Those, because of Earth spinning, deflected FTEPs shape those particle FTE "bubbles" too! They might distribute to the gravitational interaction (on the short scale probably not, this requires whole new blog post) but on top that they generate higher FTE density/pressure on the "sides" perpendicular to the gravitating object. Now you probably realize the mechanism how reduced Earth's spinning rate affects the measured \(G\) values...
...In case you didn't. Reduced FTE density/pressure (due to reduced Earth's spinning rate) on the particles sides perpendicular to the gravitating object allows larger amount of particle's FTEPs to spread on those sides (for a while! - new blog post is coming on the phenomenon). Now two macro world objects can share more of their FTEPs which causes the higher gravitational interaction between them, hence generate the illusion of the increased value for \(G\).
Published paper opens whole new perspectives for TOEBI development.
Update (6/5/2015): Check out also Matthew Pitkin's paper about the paper.