Planet Formation and Evolution - Moon Formation - Lunar FormMation - Origin of the Moon - Origin Moon - Eva Nessenius

Origin of the moon: The arrows show where the moon came out of the earth. The moon's pathway under the Paleozoic lithosphere along the equator is the real cause for the opening of the Mediterranean Sea, the Central Atlantic Ocean, the Gulf of Mexico and the Pacific Ocean. 

In Precambrian time the moon originated inside the earth and left the earth in Permian opening the lithosphere from underneath the surface. Therefore the continental plates started moving apart into opposite directions and the earth volume started increasing, because the release of pressure at all places the moon passed along underneath opening the lithosphere caused changes of the geophysical conditions in the earth interior. The increase of mass by meteorites and photosynthesis continued.

The idea of planetesimal-accretion is wrong. Earth originated as a gas giant (Herndon). We'd rather compare the protoearth with a Low-Density-Superearth:

https://beyondearthlyskies.blogspot.de/2013/10/an-extremely-low-density-super-earth.html 

The Precambrian earth and the Paleozoic earth before Permian was like a "puffy planet" or a "low density super earth".  Its density increased during the evolution of our solar system.

https://www.abc.net.au/news/2015-05-02/puffy-new-planet-hats-6b-discovered-500-light-years-away/6439466

The giant impact hypothesis is wrong.
An impact was unnecessary as the moon left the earth by centrifugal and endogenic forces.

Wikipedia: Giant impact hypothesis: "This lunar origin hypothesis has some difficulties ... for example, the giant impact hypothesis implies that a surface magma ocean would have formed following the impact. Yet there is no evidence that the Earth ever had such a magma ocean and it is likely there exists material that has never been processed by a magma ocean. There are a number of compositional inconsistencies that need to be addressed. The rations of the Moon's volatile elements are not explained by the impact hypothesis. The presence of water trapped in lunar basalts is more difficult to explain, an impact would have entailed a catastrophic heating event. If the bulk of the proto-lunar material had come from an impactor, the Moon should be enriched in siderophilic elements, when, in fact, it is deficient in those. The Moon's oxygen isotopic rations are essencially identical to those of Earth. If a separate proto-planet Theia had existed, it would have had a different oxygen isotopic signature than Earth, as would the ejected mixed material. The Moon's titanium isotope ratio (⁵⁰Ti/⁴⁷Ti) appears close to the Earth's (within 4 ppm)..." ^[28]

The composition of the lunar material equals the material of the protoplanet earth. Components of an hypothetical impactor are missing:

https://www.astrobio.net/topic/exploration/moon-to-mars/titanium-paternity-test-says-earth-is-the-moons-only-parent/

 
"... The isotopic homogeneity of this highly refractory element suggests that lunar material was derived from the proto-earth mantle, an origin that could be explained by … fission from a rapidly rotating … earth" (Junjun Zhang 2012).

https://adsabs.harvard.edu/abs/2012NatGe...5..251Z  
 
The material of the moon has the same age as the earth (Precambrian) because the moon originated inside the earth a long time before it came out. The age of the lunar material cannot be used as indicator for the time the moon left the earth. It is an indicator for the time of its origin in the interior of the Precambrian proto-earth. Earth-rotation accelerated in Permian because its volume decreased and its radius became smaller, due to T-Tauri-phases of the young sun. The emerging of the moon by fission was possible because the conditions on earth were different than previously assumed. The earth lost most of its voluminous atmosphere during the T-Tauri phases of the sun.

Hot phases in paleoclimate were caused by T-Tauri-Eruptions of the sun. After Permian there were some more hot phases (Trias, Cretaceous) drying out the earth enhancing metamorphosis of sediments. In Permian the earth lost large parts of its atmosphere. Water and gases escaped from the earth's interior as well. After that the atmosphere was still denser and more voluminous than today, as there were some more hot phases to come.  

The emerging moon didn't consist of dense rock-material like today. It was rich of water and gases because the earth mantle the moon emerged from, still had these ancient properties. The newborn moon was not too heavy in relation to the density of the dense ancient atmosphere with its high atmospheric pressure. Earth had less mass and therefore less gravitation. For all these reasons less energy was necessary to overcome the lower gravitation of the smaller Permian earth. The buoyancy eased the emerging, while endogenous and centrifugal forces worked synergetically. Earth's rotation accelerated in Permian. Endogenic forces provided additional energy:

https://en.wikipedia.org/wiki/Earth%27s_rotation

https://en.wikipedia.org/wiki/Leap_second

The moon's pathway under the Paleozoic lithosphere along the equator is the cause  for the opening of the Mediterranean Sea, the Central Atlantic Ocean, the Gulf of Mexico and the Pacific Ocean. Then continental drift caused repercussions on the paleoclimate:

Some people say: "If the moon had left the earth by fission, it would be orbiting around the earth in the equatorial plane".  Thinking thoroughly you realize:  The postion of the rotation-axis of the earth changes with its axial precession. Therefore we cannot expect the moon to always orbit in the equatorial plane. The moon keeps orbiting in the same plane (although it's not really a plane but a spiral along Earth's orbit around the sun) but the position of the equator is changing with the axial precession:

https://en.wikipedia.org/wiki/Axial_precession