Finally the animation of the little train in the publication of the editions of the work of Denaerde is fully understood.

Firstly the movement of the crank wheel in the animation is wrong because it shows that both the rails in the analogue for time and anti time are 180^{o} out of phase while in the original picture it is correct. This was always understood but for didactic purposes the animation of the crank wheel was easier to understand.

Secondly the vibrating rail with the wagons for inertia is not easy to understand. Only recently due to the analysis of the exchanges of triplet and doublet of pseudo vector cells around the proton, the function of the rail becomes clear. Namely the resonance exchange to the c-cavity of the proton has two modes for the triplet and doublet of the pseudo vector cells or in general the weak dark matter surrounding electric charged neutral matter. Once the proton behaviour to the mediating medium is understood extrapolation to all atoms is similar and meets no further contradictions.

*The principle of the unification for gravitational induction*

The law of induction for gravity is in fact fundamentally linked to vibrating rail for opposite moving accelerations vector components of the pseudo cells surrounding matter (anti matter) then generating the imaginary labour quanta to both the opposite direction of time and anti time. However the vibration in our cosmos is based on Planck’s constants with λ_{pl} of 4.05 10^{-35} m as quantum wavelength, far too short to interfere with the atoms having wave length of 10^{-12} for electrons and

10^{-15} m for the protons.

So a reduction in is needed and one starts off with the derivation of the gravitational induction based on Newton’s law of gravity. The algebraic derivation of the law is straight forward and based of the event horizon of a simple Schwarzschild black hole derived by general relativity theory.

λ c^{2} = G M

λ-event radius and G: the universal constant of gravity with h: Heisenberg’s constant .

Planck’s relations are: m_{pl}^{2} = hc /G and λ_{pl}^{2} = hG /c^{3} giving:

m M = m_{pl}^{2} M can be any mass and m the induced mediating quant or vice versa.

For Earth λ = 4.5 mm and for the sun λ = 1.5 km where m = h /(λc) and M either the earth mass or the solar mass. With respect to the actual radii of Earth and Sun the event radius is too small and becomes only of importance and quantized if applied to the pseudo vector weak dark matter surrounding the macroscopic mass M. See for the application the proposals for experiments in Bk 1 chap 4. Further as long as the induced m-quanta are below the light speed c the induction law is correct which is always valid for the pseudo vector e-neutrino cell moving at maximum ½ c effective.

The derivation of the induction law for atomic scale based on pseudo vector neutrinos surrounding matter is as follows:

(m_{e} /N_{e}) (M_{e} /N_{e}^{2}) = m_{pl}^{2} /N_{e}^{3} and m_{e} M_{e} = m_{pl}^{2} the induction law for electrons.

With (m_{e} /N_{e}) a pair of pseudo vector cells of e-neutrinos at 1.34002 eV and ½c effective. The number of N_{e} = 3.813364 10^{5} of paired cells per the unit mass of m_{e} is a constant.

Now apply this law to the proton and the electron for a scaling calculation.

For the electron 0.050818 N_{e} = 1.937875 10^{4} doublets.

For the proton 0.062588 N_{e} = 2.386708 10^{4} triplets.

Based on the ratios of these respectively 1.050818 and 1.062588.

m_{pl }= 5.456035 10^{-8} M_{e} = 3.267845 10^{15} m_{e} = 9.109462 10^{-31} (kg)

(m_{e} /N_{e}) x 2.24724 10^{4} = 5.368210 10^{-32} = m_{pl}^{2} /N_{e}^{3} and m_{e} /N_{e}^{2} = 2.24724 10^{4} .

Compare the number of doublets and triplets to induction mass of 2.24724 10^{4} kg giving:

2.24724 10^{4} /1.937875 10^{4} = 1.159641 —(kg)—2.24724 /2.386708 = 1 /1.062061

(1.159641 x 1.06 2061)^{2} = (1.231610)^{2} = 1.516864 (dimensionless, so ratio)

(√1728 – √1604.175) m_{e} = 1.517065 m_{e} A dark matter cell is (137.036)^{3/2} =1604.175

The deviation is 1.000132. It shows the validity of the induction law at atomic level.

The accuracy of the ratio of 1.000145 or 1.000132 then m/m_{o} gives on average 1.017c or 5.0 10^{6} (m/sec) for the expanding neutral electric charged pseudo matter based on the unit of m_{e} which is guessed the steady state velocity of pseudo matter in an Lorentz 4D-spaceduring evolution of our cosmos.

Now consider an equilibrium universe being 3D under the influence of pseudo vector gravity having an acceleration a_{o} . The radius of this universe: a_{o} R_{H} = ½ c^{2}

Hubble’s radius compromises 2R_{H} determining the event horizon R_{H} as observed. Newton’s law of gravity a_{o} R_{H}^{2} = G M_{tot} . It is guessed that 2R_{H} reverse to two events horizons of matter and anti matter universe.

The mediating mass for neutral H-atoms: m_{m} = 250.8082 m_{e} or 250. G = 6.67 10^{-11} [MKs]

Then due to equilibrium at atomic level:

a_{o} = G m_{m} /λ_{m}^{2} a_{o} = G 250^{3} m_{e} /λ_{e}^{2} = 1.613 10^{-10} (m/sec^{2})

Calculate the pseudo matter radius:

a_{o } R_{ps} = ½ v^{2} v = 5 10^{6} (m/sec) R_{ps} = 7.764 10^{22} (m)

R_{H} = 13.7 10^{9} x 10^{16} = 1.37 10^{27} (m) 1 lyr = 10^{16} (m) R_{H} /R_{ps} = 1.765 10^{4}

This ratio seems reasonable, the square root of it is 133 somewhat higher than above and half of the mediating mass. The relation between 133 and ½ 250 is not sorted out further.