Applied to three charges of color of the chomodynamique quantum, the set theory allows, based on an analogy, to find the model of matter.

Indeed, as any set of three objects, the set E of the three charges of color has eight subsets. Given E = {a,b,c}, the set of three charges of primary colors, red, yellow, blue, which are symbolized by, in order, by {a}, {b}, {c}. The eight subsets of E are:

These subsets symbolize the four kinds of bricks constituting of matter.

Foremost are the three subsets with one element, {a},{b},{c} symbols of the three quarks red, yellow and blue, follow the three subsets two elements, {a,b}{a,c}{b,c} symbols of the three antiquarks carrying their anticolors: orange {by merging the red {a} and {b} yellow}, purple {by merging the red {a} and {c} blue }, green {by merging the yellow {b} and {c} blue}, followed {a,b,c}, the set E, because all set is a subset of itself, it is the electron*, white by mix of the three colors, at least the eighth subset, the empty set, ¢, is colorless, because it does not contain any of the three charges of color, it is a kind of vacuum bag, the complement of all three charges of color, it is the neutrino.

 

The Christian Trinity has three equal and separate People whom it seems not prohibited by the Dogme to study the relationship from the Theory of sets, especially as the analogy between the model of matter and of the Trinity allows to define the Heaven and one of the most singular mystery of the Holy Trinity: the circumincession.

Preliminaries: as said at the end of this web page "The creative set", God can create only from what He knows, that is, Himself in three persons. His most loyal image is reflected by the closest to him Angels , those of the first choir of the First hierarchy, the seven Seraphim. Why Seven? Because of divine uniqueness: because there is only one God in three persons, each Seraphin can, through the People, see and reflect an image of God at the same time.

Indeed, as all three charges of color, the set of three Persons of the Trinity are symbolized by E = {a,b,c} with the eight subsets listed above and wich are images reflected by the Seraphim among whom three see God in a Person, three see God in two united Persons, one sees God in three united Persons.

But there are only seven Seraphim, then what the eighth subset? The empty set ¢, which is necessarily among the subsets of any combination of three elements. This set is empty because it does not contain any of the three persons, it is therefore, also, a kind of vacuum bag, the complement of all three persons or more appropriate, their container: Biblical Heaven created In the beginning.

Another contribution of the Theory of Sets applied to the Theology: the symbolization of the circumincession, dogma explicitly taught by the Council of Florence in 1439: each of three Persons is completely in each of two others.

This Dogma does not contradict the fact that the three persons are distinct: they are distinct as People, but inseparable {this is the circumincession} as God.

To understand the concept of circumincession, it is necessary to rely on the analogy between the three charges of color of antiquarks described above form: {a,b}, {a,c}, {b,c} and the three correspondents Seraphim who contemplate and reflect, each others, two persons in one God.

Each of the three charges of color, red, yellow, blue is obviously in each other to form the three anticolors: orange {red + yellow}, purple {red + blue}, green {yellow + blue}. But to find the analogy with the three correspondents Seraphim, it is necessary to have recourse in the Set Theory.

Therefore one consider {a}{b}{c}, symbols of the three persons, as three sets that have the same nature, because they are part of a same set: the alphabet.

On the other hand, according to the Christian dogma, the three persons are equal, one can write their relations of equality: {a}={b}and {b}={a}, {a}={c} and {c}={a}, {b}={c}and {c}={b}.

From these equalities, and the common nature of these three sets, it is deduced that:

The set {a} is included in the set {b} and, conversely, {b} is included in {a}, i.e. they are a single set -similar to the orange antiquark- which can be written indiscriminately {a,b} or {b,a}.

Similarly, the set {a} is included in the set {c} and {c} in {a}; so {b} is included in {c} and {c} in {b}, they constitute the sets {a,c} and {b,c} who also has written indiscriminately {a,c} or {c,a} and {b,c} or {c,b}.

Refering to the analogy between charges of colors and the Persons, so there is the circumincession but with the mathematical formulation more understandable: each of the three Persons is included in each of the other two, that the wording theological: each of three Persons is completely in each of two others.

At each of the seven Seraphim who see and reflect, each differently, one God in three Persons, one could assign a color: red, yellow, blue, for the three who contemplate and reflect God in one person, orange, purple, green, for the three who contemplate and reflect God in two Persons, white for those who contemplate and reflect God in three Persons. They would constitute a sort of celestial rainbow.

* cf web site electronquid

nota: the original text is in french