Did the proposed Expansion of Earth during Cambrian Explosion lead to the formation of Moon?

The discussions related to the Expanding Earth hypothesis stimulated interesting questions. How planets and Moons would have been born in TGD-based astrophysics and could the formation of Moon relate to the Expanding Earth hypothesis (see for instance this) and whether the gradual growth of Moon’s orbit could relate to it.

During the last year, I wrote two articles about the birth of stars and planets and also moons in TGD Universe last year (see this and this.

The first basic idea is the fractality of TGD-based cosmology, which follows from the TGD view of space-time as a 4-D surface in H=M⁴× CP₂. Another key idea is the replacement of a smooth continuous cosmic expansion with a sequence of fast explosions.

1. The scaled down versions of Big Bang would occur on different scales. For example, a star would produce shells of mass ejected in an explosion that would condense into planets.
2. The planets could also do the same and this would lead to the birth of shells, from these the rings would be born and from these the Moons would be born.

The Cambrian explosion is also an explosion. The composition of the Moon is the same as that of the Earth. The crazy question that comes to mind (I can already hear my colleague’s snoring laughter in my ears) is whether the Moon was born this way but .5 Gy ago (instead of 4.5 Gy), in the Cambrian explosion. This of course does not exclude the possibility that Moon was formed in a similar explosion for 4.5 billion years ago.

Can the Cambrian option be ruled out by comparing the ages of the Earth’s Moon? Radiometric age determinations give the matter making up the Earth and the Moon (so not the Earth or the Moon itself!!) age estimates of 4.543 Gy and 4.46 Gy, i.e. an age difference of 80 million years.

1. The age of the material composing Moon has been deduced from the radioactive decay of Zirconium and in the latest determination it increased by 40 million years. This inaccuracy is of the same order as the difference in the ages of the substances! So can the Moon be matter of the same age as the Earth? You can also critically ask why the Moon’s and Earth’s matter would be of different ages when the composition is the same? The most natural explanation is that the substance is the same and therefore of the same age.
2. Radioactive age determinations would therefore not rule out the hypothesis of the formation of the Moon in the Cambrian explosion. In such an explosion, a layer with a thickness of about 6 km would have been thrown out and taken with it both the life on the surface and the fossils if there were any! .5 billion years old fossils would be products of underground life!

Is there any empirical evidence that the age of the Moon cannot be on the order of .5 billion years. Is there any evidence for the explosive origin of the Moon? Could one compare Theia hypothesis and the two variants of TGD proposal? Could the dynamics of the Moon-Earth system help here?

1. It is known that the distance of the Moon from the Earth increases slowly: 3.8 cm per year (see this). At this speed, the Moon would have reached a distance of about 3RR_E (three Earth radii) from the Earth, so the speed must have been significantly faster at the beginning. So could the increase in the radius of the Moon’s orbit be a remnant of the rapid increase in the radius of the orbit associated with the explosion.
2. The same rough estimate would give a class of 30 R_E, which corresponds to the distance of the Moon, the Moon was born in such an explosion 4.5 Gy ago. The expansion of the spherical layer would have slowed down quite quickly.

Theia hypothesis would explain the increase of the distance of the the Moon in terms of the recoil momentum gained in the collision. This would have made the orbit elliptic. The orbit of the Moon is slightly elliptic: the eccentricity is .055 (see this). How quickly did the ejected crust condense to form the Moon? Surprisingly, this could have happened very quickly. It is estimated that the Moon could have been born within hours after the impact of Thea (see this.