Subatomic Particles and Relativistic Complex Numbers

Because the pictures and explanations of the previous posts are difficult to understand, I have tried to make an algebraic explanation of what we think the atomic nucleus and their subatomic particles are, considering them as the consequence of the entanglement of at least two gravitational fields that vary – expand and contract – periodically with the same phase (fermions) or with oposite phase (bosons).

Algebraic_Fermions

Algebraic_Bosons

Asymmetries:

Fermions_And_Bosons

In the pictures below I have tried to explain the energy and force vectors of fermions and bosons using complex numbers (I guess that in a non conventional way):

Relativistic_Complex_Numbers_FA

Relativistic_Complex_Numbers_FB

Relativistic_Complex_Numbers_BA

Relativistic_Complex_Numbers_BB

I consider that imaginary axis have an inverted symmetry with respect to the real axes. “Imaginary” numbers, have a mirror inverted (mirror reflection) symmetry with respect to “real” numbers.

Different signs express an oposite or an inverted symmetry. Numbers do not have any sign in themselves, they have it with respect to other numbers that have a reflected (inverted, up-down, in the Y axis) or a mirror (oposite , left-right, in the X axis) symmetry.

Here we are using all axes as real and imaginary at the same time, simultaneously. X2 is as a real axis, it has real numbers (-1, 0. +1), but it is simultaneously an imaginary axis (when the two imaginary numbers are on x2 and the real numbers are on X1 and X3.

So, in these pictures there are four imaginary numbers simultaneously, but we need to change our perspective to see them. It depends on where is our focus. If we consider that X2 is the real axis, then we only see two imaginary numbers, one of them on X1 and the other on X3. But if we are watching at X1 and X3 as the real axes, then we will see only two imaginary numbers on X2, and they will be the product of X1 and X3.

So, we are using relativistic axes simultaneously, because their reflections, and the position of the numbers on them, depends on the position that we are observing.

If we are observing from X2 as the real axis, the X1 and X3 axes are the reflection of X2. X2 is ordered from left to right as -1, 0 +1; X1 is ordered from left to right as +1, -0, -1, and X3 is ordered from left to right as +1, +0, -1. In this sense, when X2 is the real axis, the square of -1 is +1 and its square root is +1 too.

But if we are watching from X1 or X3, then X2 is their mirror reflection axis. So in this case X1 or X3 are the real axis and X2 is the imaginary (the reflection axis). In this cases X1 is ordered from left to right as -1, 0, +1 and X2 is ordered from left to right as +1, -0, -1. So, here the square of -1 is +1. What is its square root? if there are not another axis below X1, then its square root is the same number -1, but if there is another reflection X axis below of X1, the square root of the -1 X1 will be +1.

The same occurs with the vertical Y axes, each one is the mirror inverted of the following.

Y1 Y2 Y3

X1 +1 +0 -1 Mirror inverted axis

X2 -1 0 +1 Real axis

X3 +1 -0 -1 Mirror inverted axis

Y1 Y2 Y3

X1 -1 0 + 1 Real axis

X2 +1 -0 -1 Mirror inverted axis

X3 -1 0 +1 Real axis

We are speaking about relativistic coordinates. A relativistic mathematics with relativistic complex numbers.

But how could be possible that exist simultaneously two different realities? Does reality depend on the focus that we are watching?

I have put in other posts that in our opinion, two entangled gravitational fields that vary periodically create in their mutual intersections 4 news fields that are the currently known as subatomic particles. They form the shared atomic nucleus. And these new 4 “electromagnetic” fields represent different dimensions.

Yo can see this four dimensions in the picture below. Imaginary numbers of X1 and X3 (considering x2 as the real axis) exist in the dimensions 2 and 4. And simultaneously, imaginary numbers of X2 (considering X1 and X3 as the real axes) exist in the dimensions 1 and 3.

Mirror_Symmetries_2

Regards.