In "The Table and Its Image", we suggested an explanation of the equivalence of matter and energy, which, according to the hypothesis put forward, are both formed by the three colour charges of quantum chromodynamics.

However, the three colour charges of the carrier of the energy, the photon, each of which is included in each of the others, would not, in this view, be ordered, whereas those of matter, like antimatter, are ordered in different permutations (cf. figures).

If true, it would be the non-ordered colour charges of the primordial photon - the original vessel containing all energy, and therefore all charges, perhaps an infinite number of charges - that, by becoming ordered, triggered the Big Bang, thus creating the universe.

But why should the photon be a set of colour triads? It is obvious, given that numbers have no real existence, that its mathematical model as described above - the simplest possible model, since it contains just one triad: a set of three abstract components, equal, distinct one from another, and non-ordered - could not have pre-existed, and it is therefore necessary to seek its origin elsewhere.

Hence three hypotheses:
- Such a search is pointless because the photon is not a set of colour charges,
- Such a search is pointless because the photon is the result of chance,
- The photon is configured in the image of a pre-existing template.

If the third of these hypotheses turned out to be true, it would establish a link between Science and Faith that would unite them in synthesis. The unity of all knowledge would then have been achieved.

The link would take the form of a correspondence between the respective arrangements of the colour charges of the photon and the persons forming the Holy Trinity. This arrangement is so extraordinary, at the boundary of what is imaginable, we cannot even conceive of it occurring by chance in both these contexts.

For the photon (see previous text), this arrangement involves the inclusion of each of the three colour charges in each of the two others. Such inclusion is impossible to envision in a material context, where three distinct objects cannot be located at the same time and in the same place. However, such mutual inclusion is allowable in the domain of energy, and all the more so in the spiritual domain, which uses a specific term for this - circumincession - to express this type of configuration.

Circumincession is a term invented by theologians to express the idea that each of the three divine Persons, each distinct yet equal to each other, is present in each of the two others. Why the term "circumincession"? The answer given by the Council of Florence is that, "Due to the unity of the divine substance," each Person is entirely present in each of the two others.

In other words, because in God there is but one substance, each of the three Persons is manifestly the entirety of that substance and hence can be found entirely in each of the other two.

In this way, the symmetry of their mutual inclusion does indeed establish a correspondence between the three colour charges of the created universe and the three Persons of the Creator, but there is another fundamental difference between them in addition to their respective natures.

As astrophysicists currently believe - although for a different reason in the present context - the Big Bang created space-time.

For in order to transform the energy of the primordial photon into matter and anti-matter, the Big Bang mobilized the non-ordered charges of the primordial photon, which had to undergo movement in order to arrange themselves in different permutations.

This in turn means that there was a succession between the non-ordered and ordered states, and therefore the creation between them of a space-time interval in which the movement of the colour charges took place.

We can go on to say that the primordial photon is no longer the present but has become the primordial past, forming the centre of the space-time hypersphere of four-dimensional geometry.

Within this hypersphere, filled as it is by time, can be found the past, and outside it the future. Between the two, the hypersphere's surface, which separates them, is the present, in which are ordered the colour charges of the primordial photon and where the reverse process has reconstituted some of the photons in order to heat up and stir the astrophysicists' primordial "soup".

Conversely, divine immutability, as promulgated by the First Vatican Council, gives rise to the conclusion that there can be no succession of states within God, for whom all actions form one eternal Act.

Using the G3 group, it has been surmised that the entire universe is formed by configurations of the three colour charges. However, without recourse to the group theory, we inevitably encounter once again - using the theological parameters - the same configurations, given that they are the original templates.

In order to demonstrate this, we can base our argument on the message offered by circumincession: each Person is entirely present in each of the others, the Person thus included being termed the inhabitant and the Person in whom that inclusion occurs the inhabited.

We can then take the non-ordered set {abc} of images of the three Persons, and describe the logical implications of their mutual inhabitation, each in each of the two others, not losing sight of the fact that all actions in God are simultaneous.

The inhabitant is characterized by putting it first and in bold type in the set of three Persons. We need six sets to represent the three inclusions, thus giving...

( a, b, c) ( a, c, b)   ( b, a, c) ( b, c, a)   ( c, a, b) ( c, b, a)

... since two sets are required to symbolize each inclusion. For example, in ( a, b, c), 'a' precedes 'b' and 'c', but 'b', which is inhabited, precedes 'c', which is also inhabited, without however having priority since they both have the same 'inhabited' status. For this reason, it is necessary to take account equally and simultaneously of the order ( a, c, b) in which 'b' and 'c' have been permutated. The same consideration applies to the inclusion of ' b ' and ' c '.

We can thus find the six permutations, the templates for the six particles and antiparticles - electron and positron, muon and antimuon, tau and antitau - forming the table of the forty-eight elementary components of the building blocks of creation (cf. visual of tables).

The fact that the primordial photon, composed of triads of non-ordered colours, could disintegrate into permutations proves that these existed in a latent state - in potency, as followers of Thomas Aquinas would say - in this photon, where their combined presence formed a physical equivalent to circumincession.

Why should the primordial photon be a reflection of the divine image? Because God could create only on the basis of what He knew, that is to say Himself and His three Persons.

The existence of a single photon as creator in three colour charges can in this way be considered as a proclamation of the existence of a single God the Creator in three Persons.

nota: the original text is in french