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 by QD (quantum dynamics). If a particle could glide, it would move in infinitely small distances. In terms of propagation, these space-elements would be infinitely small, what means in QD unimaginable energies. The following applies: the smaller the distance, the greater the force by the same momentum 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 and multiplies to energy with E = hF, where h = Planck's constant and F = frequency.
Puls p = E/c = hF/c = (h·c/ʎ)/c = h/ʎ.    p=h/ʎ

The heartbeat of our world is a pulsing momentum (h)
it is invariant and has an universal size

Since h is invariable, only the wavelength λ and the frequency F can change in 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 only has integer values. 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 what doesn't make sense. 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  octahedra requires a certain ratio of their sizes, which is referred to below as M (measure unit of octaedra). 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 (scale1). In M10 are 19'683 field sizes possible, whereby the energy differences are always one quantum. It should be noted that only the quantities that form a field with 3^x or 3^-x (3^2; 3^3; 3^4 etc.) have the same center point as S1. 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. It should be noted, that 19'683; 13122; and 6561 can be divided by 3 and each field it selfe is 1 quant. Though the M10 sized field can be loaded of 19'683 quant's or 12 quants or 0 quants (empty). It should be noted here that these numbers are only theoretical. For example, they cannot be used to explain the term e-charge.

This cognition 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.

Structure and Entropy of space

The generally accepted standard model of physics SM assumes that there is a chaotic state of virtual particles in the form of bosons at the deepest (zero point) 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 (simular like the Schrödinger field whose value at any spatial point is the probability for an interaction at that point). On the one hand, this model gives the researcher more 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 of equilibrium 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 in this way still included in the matrix of space at 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 space 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 an intermediate layer of space that separates scales preventing the influence of asymmetrical values in tetrahedra and octahedra. The scales forming structure are our S1, S3, S5-S9, S10-S27, S28-S71 etc. Those of entropy but are the scales of even numbers as  S2, S4, S6 etc.

Quantendynamic deforming of space


The energy wave theory sees particles as standing waves. They therefore have a frequency. This will changes in the moving state. The wavelength λ becomes shorter at 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 isotrop. Today we know since Einstein that in principle "empty space" has no medium, with the result that interactions of particles (as standing waves) are transmitted by such as bosons or photons. This of course is a contradiction in terms. This particle zoo, however, also needs a medium. It is the weak point of Einstein space. The salvation is the idea of a plasma soup of virtual particles creating something like an 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 when universe was formed, a disharmonic scale would have been extinguished.

LHC (Large Hadron Collider) research basically interpreted its results in 4 energy zones or the 4 fundamental forces of the SM (standard model). They are the strong force by bosons, the weak force by gluons, the electro-magnetic force by 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 SM. 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 shells of the onion around the center. There are actually no quarks and bosons in proton and neutron fields, no gluons in 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 fields are in center positions and in combinations of one another in this matrix. This creates a diverse interplays, 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 fix definite 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.
The pictur shoes red (+) time and blue (-) time. They could also be seen as 4 colors of the state of 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 distortion of space and time. Therefore a particle oscillation is always in the same rhythm as its medium, here at the location (x; y: z: t) where t (time) is the oscillation of the tensor toward the 4th spatiel dimension. A particle is therefore not simply (+) or (-) but has a parity at this location (x; y; z; t) as a status of its oscillation (++) or (+-) or (-+) or (- -). The MFT sees it as 2 oscillations at right angles to each other. One as compression/depression of 3D space and the other as (+)/(-) time (as tensor to 4th space dimension). This dynamic of space is seen in the SM (Standard Model) either as particles or as antiparticles with (+) or (-) charges.
It is the Dirac-equation

Because contemporary physics, despite Dirac's mathematical proof, still clings to the notion of separate particles in a separate (and therefore empty) space, a separate antiparticle was invented by Dirac, which he (reluctantly) offered as a solution (and got the Nobel Prize). The MFT only sees a particle in 4 states. It is solely the geometry of the matrix that only allows parallel swinging of two particles at the highest energies (generation of antiparticles in CERN). However, it is the same particle, but measured from our side (of (+) time) to a (-) time parity.

The reason for this blindness of today's physics is that the matrix allows all scaled fields (from the proton to the EM field and larger) to oscillate synchronously in time. charge as parityAll parities in (-) time ((-+) (- -)) are asynchronous to the gauge. This only applies to particles smaller than neutrinos, since all weaker and larger fields interact with photons, which only act as 3-dimensional fields. There you only have the parity of (+) and (-). Photons are just momenta and add up to the parity of their medium. There the parities of the medium (the 4D space) become (++) (+-) (-+) (- -). The parities (++) and (+-) are responsible for the SPIN value for the small particles. At the larger fields it acts as chirality. In the picture above the relation between particle-antiparticle, charge and spin to the oscillating space is shown as a double-oscillation. The space cell (the colors of the matrix) oscillates with 2 parities of (+) time (our world or matter) to (-) time (antimatter), with each parity oscillating the 3D space from compression to decompression. This 3D oscillation is understood in the SM of today's physics as 1/2 spin.

Charge: a new concept of space is aplied

4D cross-sectionThe picture here shows a section through the plane, which is the 3D space in the 4D space concept and therefore has a top and bottom side. The wave-like deformation (oscillation) creates a pull-push on the top (+time) and push-pull on the bottom (-time) in a 360° wave.
That is why here
(++)=Blau (+-)=Grün (-+)=Gelb (- -)=Violett

This is the +/- time oscillation in the scheme above and is the most difficult to understand. Oscillation as a single event would have no relevance for physics. It would not be detectable for us in the period ʎ/c. Visibility is based on oscillation or repetition only. But that creates 2 views that count as parity + or -. However, the perspectives always create a relationship to the surrounding space of neighboring parities. In this way, apparently static spatial structures are formed, which, however, build on the repetition effect. Physics calls this a virtual state, but only limits it to a "zero-state" plasma. However, it is a universal principle for all particles and fields. So charge as property of field is only one view from one space-direction. Since we and our measuring instruments form this view, charge, which in itself is only an alternation of + and - and would neutralize itself, becomes a static property through this very view. It is as if 2 images are projected, one with green light, the other with red light, and the viewer with the green glasses only sees the green and therefore negates the red image and vice versa.

With the designation electron = e(x;y;z) or proton = p(x;y;z) the time value of parity(x;y:z:t) is missing in the SM of today's physics. Theoretically, this should be named as (+) or (-). But since in the SM (Standard Model) a particle has (+) or (-) charge as a static property, the time parity is no longer needed in the SM. The matrix theory does not want to introduce any new rules, it only intended to be background information. No matter where the interaction of a particle is, it has everywhere e.g. at location (x1;y1;z1;t1) the parity of electron = e(x1;y1;z1;t1). Instead of saying: the electron is (-), we now say electron = e(x;y;z;t.) and mean (+) or (-), in any case the opposite parity to the proton. Both are (+) or (-) according to location, but react always as opposite parities. Particles have no charge but the value (t) of the location x;y;z;t. Particles don't have a spin with a chirality, they have the parity x;y;z;t. It's an effect of the Matrix space.

A proton always has the opposite parity of the electron at the space-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.
It has to be noted, that charge in the SM is not connected to space and only a property of the particle. Parity needs a structural space, but is a property of it and therefore particle are space locations. That is why particle are not separated from space, they are properties of it.

Attraction / compelling as a parity of oscillation

A (+ +) or (- -) = attraction, (- +) or (+ -) = repulsion.
It is a simple principle of a structured 4D 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. Space is not empty, it has an entropic pressure.

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 the overlying 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 all the participated components.


In physics, the term parity stands for a state of oscillation. In the matrix-space it generates the effect of charge and in the standard model of physics it is charge and therefor a property of particles. To explain this, an important aspect of the  matrix has to be used. This is the hyperspace or 4D space. It is justified in Part 1 with the explanation of dimensions. It is hyperspace that explains the standing field in a medium with an elastic momentum of p=h/λ. It is not hyperspace itself that we deal here, but the idea that our space is embedded in a higher-level space (as it even could be embedded in poly dimensions). 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 it the density of time. But time is tied to space because it is an element of oscillation. The oscillation consists of the momentum p•λ , which is the natural constant h of our universe.
 This 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 will find themselves in a different world and in a different frequency.

The cycle, an 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 (been proven x times) should be used here. There, space and time form a continuum; zero = (tc^2)-(x^2)-(y^2)-(z^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 Dirac and Feynmann, who interpreted the quantum dynamic in his graphic diagramms, a retrograde time must be expected (e.g. when pairing a (-) and (+) electron, 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 principle acknowledged. From a logical point of view, however, the causal concept can be reversed (the result requires the cause as a precondition). However, considering the matrix, real nature is described as it appears in the limited space of interpretation. The oscillation of 3D space from its units what forms 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 indirect shadow-effects like (+) and (-) time.

SUSY the Super Symmetry

The 4-dimensional hyperspace (actually 5 space dimensions including the dimension 0 ) 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 describes it as a shadow of the 4th spatial dimension. Here we see the compression and decompression areas generalized as tensors of the 4 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 up; (+) time and down; (-) time of the 4-dimensional space. SUSI-3

These 2 sides as shadows 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 particle cannot take place. Attempts to determine the decay time of Protons came to the conclusion that these particles must live longer than the age of the universe, whatever that means in detail.


Here in Part 2 the structure and dynamics of space have been described to such an extent that a closer examination of particles as "children of space" is now  from a completely different point of view possible than from observations 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 QD of particles, which will be discussed in Part 3.

the matrix

Science sometimes becomes religion when the network of theories becomes dialectic. Knowledge then becomes a fixed building with foundations of which can't be tampered with. But true knowledge is never static and always in motion. Outside the dogma;  free Platonic thinking prevails. 


Gunter Michaelis, Griesbach, the 20.8.2020