Warping 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 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.

Indeed, in 2015 a team of researchers led by J. D. Anderson published a study in Europhysics Letters (see this) reporting that measurements of Newton’s gravitational constant G over several decades appear to oscillate with a period of 5.899 +/- 0.062 years. The periodicity in G measurements matches the approximately 5.9-year oscillation found in Length of Day (LOD) variations, which are fluctuations in Earth's rotation rate. This phenomenon would be analogous to the variation of the pendulum period in the Allais effect.

Could warping, which predicts that the speed of light can have values c# ≤ c=1 (here the units with c=1 are used), relate to the far too large variation associated with G measurements? Warping indeed affects the measured value of 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. The second possibility is that the variation of the effective value of G is induced by the pressure caused by dark graviton feed from the Sun.

  1. 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.
  2. The gravitational acceleration predicted by GRT is given by

    (1- rs/r2) ×GM/r2

    gtt= 1-GMR/c2r == c#2 and extremely close to value 1 for the solar system.

  3. c#2 is transformed by warping:

    gtt=c#2→ c#2 -R2×ω2 .

    The change of gtt can be much larger than the very small deviation of gtt from 1 predicted by GRT. The effect on the gravitational force is however trivial.

Could the radiation pressure of the graviton flux coming from the Sun or from the Earth itself affect the value Geff of G? This pressure decreases like 1/r2 just as the gravitational force does. For the Sun graviton flux would concentrate to the wavelength λ= Λgr= 3000 km and the energies of gravitons would vary in the range 1-105 eV. For the Earth the wavelength would be λ=Λgr= 5 mm. The period for the variation of c# should be equal to that for the variation of G is T∼ 5.9 years.
  1. If the gravitons with a shared gravitational Compton length λ=Λgr∼ RE/2 from the Sun induce a transversal gravitational force, the variation of Geff would be basically due to the emission of gravitons. The intensity of the emission of gravitational waves should have T as a period. Sunspot cycle has a period TS= 11 years (varying in wide limits) and is part of a 22 year cycle. T∼ TS/2 suggests a chaonic period doubling dynamics.
  2. In TGD, sunspots relate very closely to the magnetic monopole flux tubes. The monopole flux loops emitted by reconnection mechanism from the Sun carry solar wind, radiation and also gravitationally dark gravitons with λ=Λgr∼ RE/2 so that frequency-/wavelength resonance amplifies the effect of gravitons. Therefore variation of Geff would reflect the dynamics of the monopole flux tubes.

    The receival of dark gravitons induces transversal gravitational force and therefore has an effect on the rotation period of the Earth and could explain the correlation with the variation of LOD.

See the chapter Allais effect again or the article with the same title.