Rotational symmetry of quantized space-time

The description of a rotational symmetry of quantized space-time unifies quantum physics and the special theory of relativity and general theory of relativity. A large group of experts reshapes the quantum loop gravity model. This rotational symmetry develops all forces of nature and causes the process of matter precipitation. The model is based on the well-known fact that time is unidentifiable below a Planck time and that a length is unidentifiable below a Planck length.
Assuming that all energy before the big bang of the universe was stored in the singularity of such a Planck frame of time and length makes another assumption plausible that today’s existing Planck frames still contain energy. The rotational symmetry of space-time grasps this energy component below one x-Planck length as a minus length -x below Planck length level, and the component below one y-Planck time as a minus time -y below Planck time level. -x and -y are thus neither a length, nor a time interval. Both reflect opposing tension energies. Four axes of coordinates for x, y, -x and -y and the projections of rotating length and time intervals describe the theory of relativity and the relativity of simultaneity of events . The rotational symmetry widens the views on dark energy sources of an expanding universe and the basic principles of matter precipitation Particle physics.
Escape of time in a rotational symmetry of quantized space-time
Quantum physics introduces a minimum time interval of a Planck time and minimum length of a Planck length. All events within one Planck time of several synchronized clocks in different locations of a mass free space are interpreted as simultaneous events, if these clocks maintain their distance to each other. This simultaneity can be captured with figure 1: The x-axis shows constant distances in a mass-free three-dimensional space into any direction. These distances can be subdivided by Planck length distances, and measured by the Planck time intervals that a photon needs to cover this distance from one point to the other. The number of Planck lengths and necessary Planck time intervals will be identical, because the photon covers exactly one Planck length per Planck time at its speed of light.
The length contraction, the time dilation, and the relativity of simultaneity of events in a rotational symmetry of quantized space-time are shown in figure 2. The rotational symmetry of quantized space-time causes an escape of time .
The (+x)-axis describes a space length of intended motion direction within the inertial frame of reference of a resting observer, subdivided into Planck length distances. The (+y)-axis shows the time on a clock of this observer. The three axes x, y, and -x are based on the starting situation of figure 1 of a resting observer, reading length x and time y. The right side of figure 2 describes the length contraction by projections of rotating lengths onto the x-axis and the caused change of simultaneity of events by the projection of this rotating length onto the y-axis. A contraction will be read differently by the resting observer or by the moving observer: The resting observer notices a reduction of the size of the moving inertial frame of reference, and the moving observer notices a reduction of the original space distance to the target. The rotation angle has to be matched with the relative speed increase of the moving observer. For this purpose any freely chosen length is rotated from the x-axis into the y-axis and then calibrated with a linear superimposed speed scale from 0 up to the speed of light. The Pythagorean theorem develops the correct length contractions of the x-projections on the x-axis and the correct reading of the change of simultaneous events on any rotated x-length into serial events for the resting observer by the projections of the rotating length onto the y-time axis.
Using the Pythagoras theorem: <big>l v /c + x = l </big>
results in the length contraction: <big>x = l (1-v ⁄c ) </big>
The length l is any unaltered length in the moving system, lv/c the projection value on y. x reflects the reading of the length l by the resting observer on x by comparison with the unchanged x-scale, and at the same time the reading of the moving observer of the shrinking distance towards the target in space. The Heisenberg uncertainty principle becomes visible because with the introduction of quantization it is either possible to read the x-axis precisely, or the y-axis, never both simultaneously.
This Pythagoras formula can be applied in an identical way for the left side of figure 2. This way, the projection of an original time interval on the y-axis that rotates now from y to -x shows the reading of a decreasing time interval for a moving observer in relation to the resting observer: the time of the moving observer has been dilated in relation to the resting observer, causing the well-known proven fact that the moving observer reads a shorter time span between events than the resting observer does. The defined speed in meters per second stays constant for both observers because length and time change by exactly the same ratio: Speed of light stays constant for any observer within the rotational symmetry. The time dilation, i.e. the actual geometrical stretching of the time scale, is derivable by use of the reciprocal of the contraction factor. The -x axis reflects this dilation. Because of the relativistic construction, -x stays in relation to the y-time axis always below one Planck time. It has changed into an energy storage function of space-time, because of the time dilation any battery on a relatively moving spaceship lasts longer than in the original environment: It is aging slower. The relativistic mass increase is not a function of mass itself, but a function of the storage capacity of space-time in a rotational symmetry.
The rotational symmetry is completed by a fourth axis -y that opposes the y axis in the same way that -x is opposing x. Its value stays below a Planck length in relation to the x-axis, just like -x stays below a Planck time in relation to the y-axis. -x and -y are neither a length, nor a time in the environment of any observer with x-length and y-time. The processes on this -y-axis are extremely accelerated in relation to the processes on the x-axis because within the rotational symmetry we can consider the observer on the x-axis to move at relative speed of light in relation to an observer on the -y-axis.
Conclusion
The Planck-level frames are carriers of hidden vacuum energies and react to a presence of masses according to the descriptions of the general theory of relativity. Albert Einstein’s curvatures of space-time are now functions of relative (-x)-time delay compression and relative (-y)-acceleration of the rotational symmetry of quantized space-time. The high precision of the general theory of relativity is maintained. The rotations of elementary frames relatively to their environment produce elementary particles: Shooting highly energized photons onto a nucleus describes such a process, because this photon is an oscillation between the (electro-) static and (magneto-) dynamic sector and the shooting onto the nucleus generates a vibration between the space and time sector. Rotation of the affected area in an observer's inertial frame of reference generates in-pair an electron and a positron with electric point charges, magnetic spins, and rest masses. This generation process is state of the art. The energy that is necessary to turn space-time vacuum energy into matter reflects the mass of an elementary particle, with calibration in kilogrammes. A mass defect describes the reversal of this process. This energy does not get lost. Note that -x and -y are relatively contracted by relativistic impacts of a rotational symmetry and that they carry immense static (-x) and dynamic (-y) energies.
Group of involved experts
*Acad. Dr. Henryk Frystacki, Russian Academy of Technical Sciences -
*Prof. Dr. Jürgen Ehlers†, Albert-Einstein-Institute Potsdam -
*Prof. Dr. Victor Maslov, Russian Academy of Sciences -
*Prof. Dr. Jayanth Banavar, Pennstate University -
*Prof. Dr. C.V. Vishveshwara, Maryland, Bangalore -
*Prof. Dr. Jörg Frauendiener, Otago University -
*Prof. Dr. Abhay Asthekar, Pennstate University -
*Prof. Dr. Brunello Tirozzi, University Rome -
*Prof. Dr. Joachim Heinzl, Technical University Munich -
*Prof. Dr. Christop Lienau, University Oldenburg -
*Prof. Dr. Karl Mannheim, University Würzburg -
*Prof. Dr. Jürgen Reif, BTU Cottbus -
*Prof. Dr. Gernot Alber, Technical University Darmstadt -
*Prof. Dr. James Anglin, University Kaiserslautern -
*Prof. Dr. Joachim Ankerhold, University Ulm -
*Prof. Dr. Gisela Anton, ECAP Erlangen -
*Prof. Dr. Vollrath Martin Axt, University Bayreuth -
*Prof. Dr. Klaus Bärwinkel, University Osnabrück -
*Prof. Dr. Frank Bertoldi University Bonn -
*Prof. Dr. J.J. van der Bij, University Freiburg -
*Prof. Dr. Peter E. Blöchl, Technical University Clausthal -
*Prof. Dr. D. Breitschwerdt, Technical University Berlin -
*Prof. Dr. Wolfram Brenig, Technical University Braunschweig -
*Prof. Dr. Piet Brouwer F-University Berlin -
*Prof. Dr. Detlev Buchholz, University Göttingen -
*Prof. Dr. Heinz Clement, University Tübingen -
*Prof. Dr. Ansgar Denner, University Würzburg -
*Prof. Dr. Wolfgang J. Duschl, University Kiel -
*Prof. Dr. Klaus Fredenhagen, University Hamburg -
*Prof. Dr. Wolfgang Freudenberg, BTU Cottbus -
*Prof. Dr. Björn Garbrecht, RWTH Aachen -
*Prof. Dr. Martin Garcia, University Kassel -
*Prof. Dr. Florian Gebhard, Philipps-University Marburg -
*Prof. Dr. Carsten Greiner, University Frankfurt -
*Prof. Dr. Milena Grifoni, University Regensburg -
*Prof. Dr. Werner Heil, University Mainz -
*Prof. Dr. Ute Kraus, University Hildesheim -
*Prof. Dr. Hans-Jürgen Korsch University Kaiserslautern -
*Prof. Dr. Michael Krämer, RWTH Aachen -
*Prof. Dr. Wolfgang Kühn, University Giessen -
*Prof. Dr. Michael Lässig, University Cologne -
*Prof. Dr. Markus Lazar, Technical University Darmstadt -
*Prof. Dr. Manfred Lücke, University Saarland -
*Prof. Dr. Klaus Mecke, University Erlangen-Nürnberg -
*Prof. Dr. Margarete Mühlleitner, Karlsruhe Institute of Technology -
*Prof. Dr. Viatcheslav Mukhanov, LM University Munich -
*Prof. Dr. Alejandro Muramatsu, Physics Institute Stuttgart -
*Prof. Dr. Ralph Neuhäuser, Friedrich-Schiller-University Jena -
*Prof. Dr. Hans Peter Nilles, University Bonn -
*Prof. Dr. Daniela Pfannkuche, University Hamburg -
*Prof. Dr. Norbert Pietralla, Technical University Darmstadt -
*Prof. Dr. Ullrich Pietsch, University Siegen -
*Prof. Dr. Martin Pohl, University Potsdam -
*Prof. Dr. Thomas Reiprich, University Bonn -
*Prof. Dr. Erich Runge, University Ilmenau -
*Prof. Dr. Manfred Salmhofer, University Heidelberg -
*Prof. Dr. Robin Santra, University Hamburg -
*Prof. Dr. Gerhard Schäfer, Friedrich-Schiller-University Jena -
*Prof. Dr. Arno Schindlmayr, University Paderborn -
*Prof. Dr. Rüdiger Schmidt, Technical University Dresden -
*Prof. Dr. Eckehard Schöll, Technical University Berlin -
*Prof. Dr. Ralf Schützhold, University Duisburg-Essen -
*Prof. Dr. Lutz Schweikhard, Erst-Moritz-Arndt University Greifswald -
*Prof. Dr. Bernhard Spaan, Technical University Dortmund -
*Prof. Dr. Steffen Trimper, Martin-Luther-University Halle-Wittenberg -
*Prof. Dr. Rainer Verch, University Leipzig -
*Prof. Dr. Stefan Wehner, University Koblenz-Landau -
*Prof. Dr. Norbert Wermes University Bonn -
*Prof. Dr. Christof Wetterich, University Heidelberg -
*Prof. Dr. Volker Wulfmeyer, University Hohenheim -

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