a geometrical approach to physics

Part 2: The old paradigms are questioned

The properties of space

Heisenberg believed that if a particle moved a very short distance between points A and B, it would “jump” without using the space in between. That was about 90 years ago, his idea was way ahead of its time. Even today there are only a few physicists who dare to follow the consequences demanded by QT (quantum theory). If a particle could move gliding, it would move in infinitely small distances, which according to QT means unimaginable energies. The following applies: the smaller the distance, the greater the force with by same moment of h. space cannot consist of infinitely small stretches, it must have an elementary size.
The space would be rigid and without any "degree of freedom" (according to Feynman). Such a state would be considered a singularity, but in reality it is never  reached. In order to enable degrees of freedom, the term elasticity is necessary, a bending potential that allows deformation and its resistance. Only this elasticity enables the pulse, a form of energy that acts per frequency cycle and multiplies to energy with E = hF, where h = Planck's constant and F = frequency. The energy value E is therefore h • frequency, with which pulse = h.

The heartbeat of our world is h

Since h is invariable, only the wavelength λ and the frequency F can change in the space cells. Since λ • F = c (speed of light), λ and F are coherent. Since λ can only have quantities that depend on the scale of the matrix, F is quantized (ΔF = F1-F2) and therefore digital. In the scales of our everyday physics, however, F appears to be analogous, this no longer applies in the size of the atomic / subatomic world.

The edges of the tetrahedron and octahedron are in this case the λ, whereby the frequency of these space cells is also fixed for the invariable c. If one considers the space cell in the center of a proton as a reference for the smallest part of space, then space, which is still up to now isotropic, would only have to have an all-encompassing frequency. When mapping this space structure via the physical values of particles such as protons, electrons, neutrons and neutrinos, an isotropic view of the space can no longer be maintained. The edge size or rod length S1 (scale 1) as an isotropic unit of length must be abandoned and replaced by rod lengthes (distances of the field strengths E=h or E=h•F/c) as coherent values of the frequency F and the field strength E.

Rod length or field distances as scale and metric

For geometric reasons (look at wave-d.html) the bar sizes must keep the ratio of 3^x or 3^-x to each other. These allow frequencies and neighboring relationships to the adjacent colors (properties) to be retained in the same way and form units in equilibrium again. The Nesting in Babushka fashion of the octahedron and tetrahedron requires a certain ratio of their sizes, which is referred to below as M (scaled metric). Nesting means unequal spaces with the same center. The ratio of their sizes are:

< < < 3^-4 ; 3^-3 ; 3^-2 ; 3^-1 ; 3^0 ; 3^1 ; 3^2 ; 3^3 ; 3^4 > > >

Here is M1=S1 (3^0); M2=S^3 (3^1); M3=S9 (3^2); M4=S27(3^3) etc. As was shown in the main page matrix, energies in the equilibrium can only use rod length S1; S3; S5 etc to be observed. It becomes clear that the fields mentioned here are “standing” or “local” fields that can only have a bar length of odd numbers.

Metrik-1The frequencies resonate in the same ratio as tone C to tone G to tone G‘ etc. As we can see later when looking at the particles, a metric or here the rod length contains several scales. E.g. the M10 (3^9) has19'683 scalings of S1. In 19'683 there can be nested field sizes, whereby the energy differences are always one quantum. It should be noted that only the quantities that form a field with Mx (M2, M3, M4 etc.) have the same center point as M1. In our example there would be between M9 (3 ^ 8 = 6'561) and M10 (3 ^ 9 = 19'683) 19683-6561 = 13122 intermediate fields with 1 quantum difference each.


This realization becomes important when considering particles. Several field sizes are formed around the center of particle in Babushka style. The geometric metric of the nesting fields is important so that the different impulses of space atoms, here tetrahedra, cancel each other harmoniously. Later we see that this is one of the reasons that space has to behave quantum dynamically.

Structur and Entropie of space

The generally accepted standard model of physics assumes that there is a chaotic state of virtual particles in the form of bosons at the deepest base of space. The “pop-ups” go in two directions as particles and antiparticles. The reason for this state is similar to the matrix, only chaotic. According to this fact an attempt is made to think further with probabilities. On the one hand, this model gives the researcher more possibilities and space for interpretations of his experiments; on the other hand, he cannot hold on anywhere in the jungle of possibilities.

It is different in matrix space. There, the popups are bind together in such a way that they form units again, which create structures in certain scales. The main reason for this much more reasonable behavior comes from the fact that the current state of space we have found is the result of extreme compression during a so-called "Big Bang" situation. The cosmological conditions are still included in the matrix of space in the smallest possible way. The basis of space does not start all over again from the first sketch but is the consequence of the past.

The cosmic expansion here is evidence, that pace as whole and in the small is not empty and under a certain pressure. This pressure is listed here as entropy of free space. In order to understand this, it must be assumed that outside a spatial structure, which consists of a determinable scale of tetrahedra and octahedra, there is a symmetrical relationship between all values. This entropy of values is also an intermediate layer of space that separates scales of influencing asymmetrical values in tetrahedra and octahedra. The scales forming the structure are our S1, S3, S5, S7, S9 etc. Those of entropy but are the scales S2, S4, S6 etc.

Quantendynamic deforming of space

The energy wave theory sees particles as standing waves. They therefore have a frequency. This changes in the moved state. The wavelength λ becomes shorter in the direction of motion. This is called the Doppler effect, derived from Christian Doppler's space theory. Here the space is considered a medium. At that time the medium was accepted as all-encompassing and uniform. Today we have known since Einstein that the medium can also be modified. This medium generally consists of a certain energy level. In quantum dynamics, however, energy is quantized. Since Planck's formula E=hF connects the energy with pulses and frequency, it can be concluded that the medium always has an associated frequency. Frequency F=c/λ requires that the medium must consist of a certain wavelength, here our rod length. Since many geometrical scales are possible, many media are also possible in principle. But they all have connected frequencies that have to get along with one another, since in the event of a disharmony such a standard would have been extinguished when the universe was formed.

LHC research basically interpreted its results in 4 energy zones or the 4 fundamental forces of the standard model. They are the strong force from bosons, the weak force from gluons, the electro-magnetic force from photons and gravitation. They are the forces of interaction in the respective zones that are used as standards by the matrix theory. However, the geometry of the matrix shows that there are many more scales or power zones. Of course, this is also assumed in profane research, but there, in an incomprehensible manner, historical research successes are adhered to. Historically, the particle idea was held onto for too long. The energy field idea is well known, but not yet integrated into the standard model. Fields have layers. The earth has it, the atmosphere has it, the magnetosphere has it, etc. So also with the particle fields. They are like the peels of the onion around the center. There are actually no quarks and bosons in proton and neutron fiellds, no gluons in the field association of the atomic nucleus, no electron orbitals in orbits, no atoms and molecules etc as a distingtion of space. From the beginning there are field constellations of different densities (scales).The only essential difference is that the fields are in center positions and in combinations of one another. This creates a diverse interplay, as we will see later.

Since the different energy levels must be in harmonic relationships due to their associated frequency, their values also have integer harmonic relationships that make the space as a carrier of these energies quantum dynamic. Geometrically this means:

In space (depending on the scale) there are only definable points that allow existence.

This means that between the points there are interference cavities that do not allow any measurable existence. With measurable existence it is meant here that one always has to measure from a standard. These interference areas can become quite large according to their scale, whereby the areas of culmination also become correspondingly large. This not only explains the “2-slot experiment” but also the area with about 90% more probability of the electron locations in their corresponding shell (or old-fashioned) atomic orbit. The deformation of this solid structure is recognized as kinetic energy.

Metrik-2An important, yes axiomatic point is the existence of standing waves. A string on a guitar can be imagined as one-dimensional (1D), where the oscillation oscillates rectangular to the string, i.e. in the 2nd dimension. A loudspeaker diaphragm can be imagined as 2-dimensional (2D), vibrating at rectangular angles to the diaphragm in the third dimension. 3-dimensionally, a spherical wave must therefore have a center, where an effective force acts at rectangular angles to all 3 coordinates from 4D space. The matrix structure of space shows us, that standing waves (or standing fields) always lie in the scale ranges of odd numbers, while the running or propagating waves (light) lie in the range of even scales.

In summary: The quantum dynamic space is divided into layers in terms of energy, which have a certain scale, energy level, frequency and thus their own time as properties. The 3D space can also be deformed into other dimensions and receives effective forces from the 4D space. Its spatial points (locations) are privileged locations for field centers with a compensating status in space-time-pulses and, in principle, have the same distances from one another.

Oscillation instead of a rigid space

double oscillationOscillation instead of a rigid space. An oscillation always forms a 180° cycle. A cycle therefore has at least 2 parities. 360° is a double oscillation.
In the picture at the left, a multiple cycle is shown as a double oscillation. Time is included as a dimension of space. This creates 4 states here:

(+ +)=Rot, (+ -)=Grün, (- +)=Gelb, (- -)=Blau. They are the 4 colors of the matrix space. The meaning of this consideration is that with the completed cycle this unit adds energetically to zero and, as a medium-space atom, can also be a unit of “empty space”. As a unit, it has the shape of a tetrahedron. Since this has the same rod length (λ), the unit also has the frequency c/λ. 4 parities are generated here, which add up to zero when interacting with neighboring units. As a result, 4 such units can again form a tetrahedron of the next higher scale. In our case it would be S2 and would mean that there would be no color change when interacting with S2 neighboring units, which in other hand would pass on asymmetric energies with V=c.

Parity or charge

Oscillatio-2The standard model of physics requires the criterion of charge or (+) and (-) for the above-mentioned interaction. This is replaced by the MFT (matrix-field theory) by the term parity, since MFT regards all particles as oscillation, which means a change from (+) and (-). This is difficult to understand and requires giving up of an empty space with the mechanics of separate particles. In the MFT, a particle is a modification of space. Therefore a particle oscillation is always in the same rhythm as its medium, here the location (x; y: z: t). A particle is therefore not simply (+) but has parity at this location (x; y; z; t) as a status of its oscillation (parity = particle-Parity(x1)=(x1; y1; z1) instead of + or -). With the designation electron-P(x; y; z) or proton-P (x; y; z) the time value of this parity (x; y: z: t) is omitted. In theory, this should be named as (+) or (-). But since there is a proton (+) and an electron (-) in the standard model anyway, time parity is no longer required. No matter where the interaction of these particle is, it has everywhere e.g. at the location (x1; y1; z1;) a parity electron Px(1; y1; z1). Instead of saying the electron is (-), we are now saying electron-P(x; y; z). and mean (+) or (-), in any case the opposite parity to the proton. Both are (+) or (-) according to the location, but react as opposite parity.

A proton always has the opposite parity of the electron at the point of interaction.

A neutron has a double parity with zero result and does not culminate in the energy field range of the electron-proton interaction. Ultimately, this means that it only has an equal interaction in the more compressed field area (gluons). It is the requirement of the matrix space dynamic .

Each particle oscillation is coherent with the space oscillation.

The effect of the charge is now called parity

A (+ +) or (- -) = attraction, (- +) or (+ -) = repulsion.
It is a simple principle of a structured matrix space. The prerequisite is a medium and a structural order of its inner space network. If the distances between nodes are strongly bent, then there is a contraction in space network (called here as compression). This is only possible if the elasticity of the network results in decompression areas (zones where the network is in tension) around the contraction field. These in turn tend to cancel out or compensate for each other with compressed network areas. If that were the only truth, our world would soon have disappeared and everything would have the value of zero. However, the compensation has a complicated structure. If there are distortions in 3D space, then they immediately compensate each other with V = c. Even an oscillation would not be possible. If there are distortions with a vector in the 4D-space, the compensation will be limited to a quantum (e = hf) within a distance (or scale S1-Sx). In the surrounding 3D space, the balance becomes visible through an overriding tendency to approach the possible place of balance (attraction). The opposite will be the case when the balance sheet is a culmination, i.e. the opposite of what would produce a rejection. The picture below shows the dynamics of the basis without the superordinate effect of a quantum dynamic compensation..

dynamic of space fabric

So it doesn't depend on (+) or (-) but only on     - equal or unequal -

The scenario + or - as a charge or peculiarities of the particles only arises by the property of 3D space to balance all distortions. However, this compensation is limited to the certain rod length of the relevant scale, which gives the field size (λ = hc / e). So it is an overriding property of the space to balance out itself. This property allows a momentum in the limited field area to be drawn towards the counter momentum. An attraction is created. Only this brings a flattening (depression) of space by attraction, by interaction with the counter-moment or counter-parity. It is irritating that a depression of space means attraction. This is just the effect of overarching tendency towards equilibrium.

If there were only + or - for repulsion or attraction in physics, then nothing would prevent the particles of our world from either merging or radiating to the edge of the universe.

All constellations are the balance of more than one components.


In physics, the term parity stands for a state of oscillation. In the matrix-space it is charge and in the standard model of physics this is a property of the particles, but here it is the standing fields. To explain this, an important aspect of the matrix has to be used. This is hyperspace or 4D space. It is justified in Part 1 with the explanation of the dimensions. It is hyperspace that explains the standing field in a medium with an elastic momentum of V = c. It is not hyperspace itself that is dealt with here but the idea that our space is embedded in a higher-level space. As a result, space as a medium loses its last classic property of Euclidean space. The space itself can be deformed. And it will.
And with the deformation the space density changes and with the density the time. But time is tied to space because it is an element of oscillation. The oscillation consists of the moment Pulse • (λ / c), which is the natural constant h of our universe.
 Oscillation-3This defines the strength of the transmitted force and relates it to the space cells responsible for the transmission. The greater the force transmission, the smaller the space cell or λ. Everything is dominated by the moment h of the medium. The structure of the matrix results from the absolute balance of all the properties involved, and the phenomena of our world result from its disruption. When someone turns the button h, they find themselves in a different world and in a different frequency.

The cycle, a element of space

cycle-1A cycle is a 360 ° process, but the course does not necessarily have to be circular. It can be symmetrical or asymmetrical. Asymmetric cycles are e.g. Light waves, spirals or the orbits of the moons of planets, which in turn have also orbits around their sun. The result of their mathematical description results in at least one space vector. Symmetrical cycles, on the other hand, result in zero. They don´t have any vector of motion. They become indivisible entities that can be seen on a larger scale as an elementary neutral entity. This concept fits perfectly with the units of the matrix, which are internally a double oscillation and externally completely neutral.


The new concept of time

Einstein's relativity theory has been proven x times and should be used here. There, space and time form a continuum (d = √ (x ^ 2) + (y ^ 2) + (z ^ 2) + (t ^ 2)). From a relative point of view, a cycle in space is also a cycle in time. Einstein only recognized time in one direction. However, since Feynmann, who interpreted the quantum dynamic in his graphic representations, a retrograde time must be expected (e.g. when pairing a (-) and (+) electron through the Compton effect, a backward vector of time is assumed).
Feynman-1For most physicists this is just a graphic interpretation and only serves the purpose of being able to assign values to the empirical experiment. There is only one causal concept for them. From a logical point of view, however, the causal concept can be reversed (the result requires the cause as a precondition). Be that as it may, here, when considering the matrix, real nature is described as it appears in the limited space of interpretation. The oscillation of the 3D space from the units that form the medium of the matrix oscillates from + (x; y; z; t) to - (x; y; z; t). As shown in the hyperspace chapter above, the matrix space has additional dimensions. From the measurable knowledge area of 3D space, the influences of other dimensions are only shadows, i.e. indirect effects.

❶ One of them is the particle as a stationary field, ideally imaginable as a ring-shaped, nested spheres of the spatial densities depending on the scale.
❷ Another shadow effect is the space pattern of the canceling areas of compression and decompression which, depending on the respective oscillation of the scale, form (+) and (-) areas in the matrix space.
❸ An important effect is that, as with the representation of the 2nd dimension, the realization requires a backside of the 2D surface, and the 3D space also requires the shadow effect of an anti-space, the quasi-backside of space. All values are converted there. The compression areas become decompression areas, the time direction and its causal chain are reversed.

SUSY the Super Symmetry

The 4-dimensional hyperspace (actually 5 space dimensions including the dimension 0 or 6 dimensions including the time) can be imagined at best if one of the coordinates, here the z-coordinate, is suppressed.
SUSIi-1You symbolize the 3D space as a 2D image, tilt it until it becomes a line.

SUSI-2Then one imagines the line with a very thin thickness, according to the conditions as a shadow of a higher dimension. In this thickness, we introduce the processes that the point ❸ describes it as a shadow of the 4th spatial dimension. Here we see the compression and decompression areas generalized as tensors of the 3 spatial coordinates of the 4D space.

The picture below shows the compression and decompression areas as a wavy line in 3D space. The space can no longer be isotropic here. It is fractionated into quanta of size E=hF. These quanta are the basic elements of a 3D spatial structure in form of tetrahedra. The illustration shows the 4 colors blue-green-yellow-red, which indicate the 4 possible states (+ +) (+ -) (- +) (- -). This is the double oscillation. The time here is the above (+) time and the below (-) time of the 4-dimensional space. SUSI-3

These 2 sides as shadows ❸ of hyperspace are here (above) the normal space symmetry and (below) the SUSI referred to as super symmetry. It is the carrier of antimatter. It becomes clear here that a particle that is explained as a 4D field must have its antiparticle on the opposite side of the 4D space as an inseparable part of its oscillation. Aging of the particle (particle) cannot therefore take place. Attempts to determine the decay time came to the conclusion that these particles must have a longer time than the age of the universe, whatever that means in detail.


He, too, is a relic from the old idea of ping-pong balls in an empty space. A torsion no longer makes sense with a concept of oscillation. In the double oscillation the space particle (fermion) shows up times in (+) time and once in (-) time. This forms the full 360 ° cycle. A particle in (+) time shows up as ½ cycle (spin). Dirac, a Swiss scientist at Oxford, formulated the mathematical conditions for the full cycle. He recognized for every particle (½ cycle) that an anti-particle belongs to the full cycle. This realization is inconvenient. However, it is astonishing that it was simply pushed out from all considerations by physicists because of this uncomfortable idea. There is enough empirical evidence, e.g.:
♦ The number of places in the electron paths is calculated : number of places = 2·shellnumber^2, what means 2 electrons at the same spot of space.
♦ New particles that are generated in LHC's such as CERN are always generated in pairs.
♦ Hawking also used this logic when describing the so-called Hawking radiation.
♦ Logic demands that the Big Bang created matter / antimatter in equal amounts.
♦ The assignment of a helicity (spiral-shaped torsion with left or right rotation) to the fermions and also to the massless particles can omitted, since it can be better described by the oscillation as a general principle of all fields. In addition, there is then no collision with the speed of light (a spiral path would be longer than the path at V=c), but also as a request of quantum field theory, since these standing fields certainly do not rotate.


Here in Part 2 the structure and dynamics of space have been described to such an extent that a closer examination of the particles as "children of space" is now possible from a completely different angle than from the observation of recognized physics that was generated from empirical research. Space lost its homogeneous character, its image was rounded off with the opposite side (anti-space). Time and pulses were described with a 360 ° cycle. By considering the Planck constant as the pulses of our world, an underlying frequency and wavelength λ is requested. With this, our world was quantized. The old ideas of Euclidean space are replaced with the matrix of space. All of this creates a completely different starting point for considering the quantum dynamics of matter particles, which will be discussed in Part 3.

the matrix

Science sometimes becomes religion when the network of theories becomes absolute dialectic in the holy halls of universities. Knowledge then becomes a fixed building, the foundations of which must not be tampered with. But true knowledge is never static and always in motion. Outside the holy halls, free Platonic thinking prevails. 


Gunter Michaelis, Griesbach, the 20.8.2020