So Far, So Good.
So, what we have is an extremely unlikely companion for the Earth. It is bigger than any normal moon but extremely light in mass; it has 'made' the Earth a perfect incubator for life in many different ways and demonstrates its peculiarity by way of absolutely perfect solar eclipses and by its scissoring effect against the Sun.
Many professional astronomers are willing to admit that the Moon is very, very odd - even incredible, but they cannot go any further than this. If they were to do so they would be endangering their careers, partly because of a theory known as the anthropic principle.
The Anthropic Principle
The Anthropic Principle basically states that the universe is the way it is because if it were any other way, we would not be here to see it.
This certainly seems to be the case with regard to the Moon. It is quite true that if the Moon was not present, no life would exist on the Earth. Unfortunately the Anthropic principle is used as a sort of 'cure-all' and in the minds of many people, including me, it doesn't really mean much at all. It isn't meant to be taken this way but the Anthropic principle often seems like scientists saying "We know best." Or worse still "Things are the way they are 'because' they are," which is no explanation at all.
All the same, astronomers in particular are reticent to look at any possibility that will take them outside 'the box'. In so many ways science is like religion. It has its dogmas and its rules and those who want to stay inside its protective shield must abide by them.
The Moon Builders' Dilemma
Let us suppose for a minute that the Moon 'is' an artificial object and that those building it wanted people in the far distant future to know what they had done. They built the possibility of total solar eclipses and Moon/Sun scissoring into the system, so that people would take notice of the Moon, but that wasn't enough.
Those who built the Moon were clearly scientists themselves, They would have been aware that the burden of proof was definitely with them and that only irrefutable proof would convince die hard sceptics in the future that the Moon was not merely an unlikely but nevertheless natural object.
The best way forward would have been to incorporate messages into the Moon that could definitely not have appeared by chance. Eclipses and scissoring might be extremely unlikely, but not impossible. More was needed and if everyone was eventually to accept what had taken place it would have to be much more.
Would That be Really Convincing?
One really good way to create something that could never be accused of being a naturally occurring object would be to build it in such a way that it carried the same number sequences, but not necessarily allied with the same aspect of its creation. A very simple example might be a solid cubic block of something, that weighed exactly 4 kilogrames and had sides measuring 4 cm, though of course that would only be appropriate if those examing the object used the same measuring systems as the people who created it.
Size to weight ratios on their own could not be enough. If people at some distant time were really going to take notice, the number relationships would have to be extremely surprising, and cover a wealth of phenomena.
So in Terms of Ratios, How Does the Moon Square Up?
This is where things begin the get extremely interesting. There are so many cross-relationships in the case of the Earth, Moon and Sun that they filled a big part of our book, but here are just a few.
Size and Orbital Characteristics
We must first realise that we cannot look at the Moon in isolation. It was slotted into a system that already existed - namely the presence of the Sun and the Earth. If anyone was ever to take notice of its presence it would have to display number relationships with both other bodies.
The Sun is 400 times bigger than the Moon and the Moon stands at 1/400th part of the distance between the Earth and the Moon.
The Earth is 3.66 times bigger than the Moon and the Earth year (thanks to the presence of the Moon) takes 366 days (It really does but these are star days and not solar days.)
It takes 27.322 days for the Moon to fully orbit the Earth. That means that 366 orbits of the Moon around the Earth take an absolutely even 10,000 days!
The Number Matrix
The number 27.322, which we have just observed is the number of days it takes the Moon to orbit the Earth is highly significant, both singly and in its multiplies in the Earth, Moon, Sun relationship. For example, the Sun is exactly 109.288 times the size of the Earth - which is 4 X 27.322.
Even modern measuring systems were taken into account because the circumference of the Moon in kilometres is 10928.8 kilometres, which is 400 X 27.322. (And there is that '400' again, which you may recall is the number of times bigger the Sun is than the Moon.)
And as staggering as it may seem, the circumference of the Moon is 27.322% that of the circumference of the Earth!
It all boils down to a tripartate relationship between three numbers, their subdivisions and multiples.
What it Comes Down To
These are the three numbers in question and they appear time and again, in terms of the size, mass, orbital characteristics and orbital timing of the bodies in question. When the Moon was designed, certain immutable facts about the relationships between the Earth and the Sun were taken into account. The Moon became a third factor and was designed in such a way that it slotted into and also made quite magical the relationship between the Earth and the Sun.
I could fill pages like this because the ratio comparisons go on and on. All the relationships are in the book Who Built the Moon? and there are dozens of them. It is patently absurd to suggest that they can all exist by chance. They have all the characteristics of a fully 'intended' system, in which a comparison was made between the Earth and the Sun and then the Moon was designed to be of the right size and even the right mass to demonstrate its artificialiy in so many different ways.
But how on earth did we stumble across all of this? That's a story in itself.