This article presents my studies in Schrodinger's Equation, electron-positron CP Violation and anti-matter annihilation. Enjoy.

1. First of all, let's start with Schrodinger Equation:
LEFT SIDE
- letter i is (imaginary number)
- h is the Plack constant
- is a time derivative
- is the wave function of the quantum system
RIGHT SIDE
- h is Planck constant
- is reduced mass
- is divergence of gradient in Euclidean space
- V is potential energy of the system
- is the wave function of the quantum system
Translating for a more simple equation we have:
Where:

2. Variable n goes from 0 to 1, 0 meaning origin and sucessive numbers a longer path
in the ellipsoid.
It's important to notice that Eisntein, Podolski et al were not able to properly refute
Schrodinger's equation, in his article of 1936. Their argument was flawed.
For the Imaginary side, we have two solutions: Real numbers (that represent our
reality in the imaginary side) and Imaginary numbers in the imaginary side, that
represent reality of the imaginary side. See the solutions for Real numbers in
Imaginary side along the ellipsoid path of an electron, for instance:

3. Now the solution of imaginary numbers in the Imaginary Side, their reality. Yes, it's
the opposite, and symmetric. This is called the tachyonic field.
Now, the Real Side, our world, real numbers defining quantum state. Note that
quantum states do not change over a longer ellipsoid path, along time:
But in the imaginary numbers in the Real Side this is different: they look like the
Imaginary solution, the Imaginary side, that can be called anti-matter side. Note
that the imaginary solution for the Real Side is not symmetric to the Real solution in
the Imaginary side.

4. If Frequency (Hertz, letter n, number of turns in ellipsoid path) slows down, we can
notice an alteration in the quantum states range and values.
See what happens to quantum states if Frequency increases A LOT in the Real and in the
Imaginary side: the Real side of matter starts behaving like anti-matter, with quantum
states evolving over the path (along time) and being negative.
With increase in Frequency, anti matter also changes, evolving also, but at smoother
(smaller) steps.

5.
But what about mass? Following the equation presented before, given that Schrodinger
equation states Imaginary = Real, we have:
What happens to mass during the ellipsoid path and different quantum states? It is not
stable and it assumes a scalar value, according to path, and is inverted in the Imaginary
Side. This is specially interesting for neutrinos oscillation, as I said in this post: http://
vickyzd.blog.ru/220286163.html. As I said, according to the angle of incidence of neutrinos
over a given particle, neutrinos can assume diferent masses.The graphics below confirm
that.
If we alter difference of potential, mass does not change in the Real world, but decreases
in the anti-matter side:

6.
BUT, according to current theory, the Higgs mechanism, a decrease in Temperature turns
the Higgs field into a tachyonic field, with imaginary mass. This breaks electroweak
symmetry and triggers the Higgs mechanism that provides mass to a particle. I don't
agree, because the tachyonic field coexists with matter side. Beside that, it seems that the
Higgs mechanism depends upon temperature, and this is not viable for daily life.
Quantum states depend upon mass, path of the particle, time spent and potential energy.
So, mass depend upon path of the particle and potential energy in a given time. The
tachyonic field is always there, I mean, here, because there is not a world or ether
separating matter from anti-matter. THIS is THE PROBLEM. In «our» world, matter jumps
quantum states (remember previous graphic, parallel lines). In the tachyonic field, anti-
matter evolves its quantum state (remember the previous graphic, the U and inverted U
shape). I guess this lack of understanding of matter-anti-matter dynamics make scientists
create SO MANY names for particles, that may be a few particles whose properties
change according to the dynamics of the environment.
But why do I say anti-matter coexists in our world? See the graphic below. In the Real
World, during electron's path around atom nucleus, quantum states present an U shape.
Positrons present an inverted U shape, that is flattened because is negative and too small:
Let's take a closer look at the positron evolution in his path (yellow line above):

7. Now let's take a look in the Imaginary side solution, the anti-matter side. For the
Imaginary side, Real is negative and imaginary numbers are positive. They seem to
be like a mirror, but values are different. This confirms Charge Parity CP Violation.
When in anti-matter side, Real (electrons) behaves like anti-matter (positrons),
evolving quantum states, instead of jumping.
So, positron is more dynamic that the electron, because in matter, quantum state is
stable (parallel lines) and in anti-matter, quantum state evolves during path. So,
neutrinos are matter with anti-matter behavior, that present oscillation, that is,
they evolve their quantum states (and mass) during their paths and proximity to
particles. So, an electron, while positron, follow Bose-Einstein principle.
If this is true, there is not an anti-neutrino. The change in neutrino mass happens
in the Imaginary state, probably generating and effect in anti-matter of particle (a
proton, for instance), changing its quantum state. That's the effect of ionizing
radiation in human cells causing cancer. Note that
But what happens to mass when we add gravity as potential energy, besides
difference of potential (DDP?). We have the following equation:
Note that we have two masses. Let's consider Space where MASS of the second

8. object is ZERO. Mass is a scalar value, ranging from 0 to 80 grams.
By adding a planet with HUGE mass, gravity makes MASS increase to 407
kilograms. Note that in both cases, the Imaginary side, anti-matter, DOES NOT
change its values. So, in space is not only weight that changes, but also mass.
But how do we know which solution is the correct, if anti-matter attracts matter and
there is a medium between them or if matter and anti-matter repel each other and
annihillation happens in the «curve» of the dimension? Note that electrons and
positrons have opposite quantum states and while electron mass is stable in Real
world, it decreases in the anti-matter side. See the graphic below, almost like a
mirror.
According to Difference of Potential equation, we have:

9. So, the positron indeed have positive charge, according to my Schrodinger
Equation:
BUT A POSITIVE CHARGE IN THE IMAGINARY FIELD DOES NOT MEAN WILL
ATTRACT A NEGATIVE CHARGE IN THE REAL FIELD, BECAUSE THEY MAY HAVE
DIFFERENT BEHAVIORS.
See the picture below, showing the gradient field. Note that both point to the same
direction, southwest. This may mean that negative charge (positron) in the
imaginary side (tachyonic) DOES NOT attract the electron (positive charge), but
they move in same direction.
Now, see the gradients and how they evolve increasing the size of the orbit of the
electron:

12. UPDATE: See the direction of the electron-positron field:
In half of a ellipsoid path:

13. And the electron-positron gradient field in a complete path:

14. Now, see how electron-positron gradient field evolves in different orbits (level of
energy). The pictures below show that when electrons change orbit (quantum
number n), they also change quantum numbers mL (magnetic) and L (azimuth)

16. This means that probably current matter — anti-matter annihillation theory may be
wrong. Probably there is not a medium between matter and anti-matter, but they
coexist in the same reality.

17. UPDATE: So, according to my studies, I found (see pictures below):
1) Electron and Positron have different paths, given that anti-matter quantum
states evolve.
2) Electron and Positron have opposite charges —1 and +1
3) Electron and Positron present same gradient direction. With higher orbits
(quantum states) they become more similar
4) Electron jump quantum states. Positron evolves quantum states during its path
5) Mass of electron and positron have a scalar value during path. Electron mass
may assume negative values in the beginning and end of path
6) With increase in gravity, electron mass increases, but positron mass is stable
7) Quantum states of electron and positron are opposite but not symmetric.
So, in electron-positron relationship, the Charge Parity Violation (CP violation) is
due to:
- charge (difference of potential)
- parity (coordinates)
- mass
- quantum state
See the graphics:

18. PATH
Both electron and positron roam the same Delta S, BUT as matter quantum states
are fixed and anti-matter quantum states evolve over path, see what happens:
The orbit of the positron resembles a Fibonacci order.
So:

19. MASS
DIFFERENCE OF POTENTIAL
DIRECTION OF GRADIENT

20. QUANTUM STATE
According to my measurements one second in the Imaginary (anti-matter) side
lasts 10,000,000 ten million seconds in the Real side. Given that Universe has
13,799 billion years, anti matter side has 1,379 years