To the Theory of Everything. Phenomenology

Anomalies of annihilation of -decay positrons in the system “²²Na-gaseous neon of natural isotopic composition (~ 9% ²²Ne)” and precedent of the theory of the complete degeneracy for para- and ortho-superpositronium in the supersymmetric N = 2 QED give grounds to represent alongside with Dirac fermions (QED) also phenomenology of a true neutral Majorana fermions (electroweak interaction/EWI and the Theory of Everything/TOE) as additional low-energy aspect of the supersymmetry ( -supersymmetry).

For the first time, the prospect of analog formalization of the status of a physical observer in General Relativity and Quantum Field Theory is designated ( -orthopositronium formed in substance in the final state of -decay type ). Lack of this is the reason for the stagnation of the modern Standard Model.

Key words: system “²²Na-gaseous neon”, quantum electrodynamics, Dirac fermions, electroweak interactions, Majorana fermions, supersymmetry, additional -supersymmetry, Theory of Everything.

This is detailed abstract of the cycle of publications in the Electronic scientific & practical journal “Researches in Science” (15) and Electronic scientific & practical journal “Modern scientific researches and innovations” (17), which discuss the extension of the modern Standard Model/SM, dictated by a cycle experiments of observing the anomalies of the lifetime spectra of -decay positrons ( -“start” — -“stop”;  — nuclear gamma-quantum,  — annihilation gamma-quantum) in the system of “²²Na-gaseous neon of natural isotopic composition (~ 9% ²²Ne)”.

To stimulate the development of SM on the designated experimental base (USA/1956, 1965; Russia/1967-1987; England/1975; Canada/1975) and reasonable phenomenology (Russia/1977-2008) is a difficult task because the world community did not notice in the mentioned experiments the paradoxical correlation “²²Na-gaseous neon”.

The hypothesis was confirmed by implementing critical comparative experiments with a decrease in the fraction of the ²²Ne isotope in gas (1985-1987) [1] and phenomenology developed on this basis [2]. There is no other possibility to explain the Mössbauer effect for the “start” -quantum () in the neon gas phase as manifestation (involving orthopositronium/^TPs formed in gas in the final state of -decay) a macroscopic vacuum two-sign spacelike structure — atom of long-range action/ALRA of Planck mass (alternative to counterproductive phenomenology “tachyon”).

With each act of the -decay of the type  (²²Na, ⁶⁴Cu, ⁶⁸Ga, etc.) in space-time of complete relativity [3] the macroscopic mass 2|M_Pl| is realized.

The SM in a state of stagnation since beginning of the search for the physical realization of the mathematical structure of supersymmetry (mid-1970s). Now that the phenomenology of the Project of a new (additional) -physics “outside” the light cone/Project [4] has been formulated, the essence of the problem can be briefly stated.

When physicists discuss the appearance of virtual -pairs () in quantum Dirac vacuum does not comment on the question of the spin state of the pair. All quantum numbers of the physical vacuum are zero. Therefore, a virtual -pair can be born only in the singlet state (the total spin of the pair S = 0), i.e. in the SM/QED the birth of a virtual -pair in the bound state of triplet positronium (^TPs, spin S =1) is excluded. This state of positronium is of particular interest for explaining the anomaly in the “²²Na-gaseous neon” system, since virtual single-quantum annihilation is present in the dynamics of the ^TPs annihilation. This means orthopositronium oscillations in “the looking glass”, where from the standpoint of a physical observer the signs of the action and speed of light are negative and . The binding energy of the ground state Ps is eV, the hyperfine splitting of triplet and singlet positronium energy in QED eV.

In supersymmetric quantum electrodynamics/SQED the virtual vacuum state of orthopositronium is possible. Precedent is presented in [5]: “... in the case of supersymmetric N = 2 QED we find complete degeneracy for para- and ortho-superpositronium”. That is opens for physical observer the space-time “outside” the light cone, if we assume topological quantum transition/TQT in the final state -decay type .and ^TPs represents the analog formalization of a physical observer who (what) “sees” the two-sign spacelike ALRA-structure (“local” causality [2, 4]).

The expected implementation of the Project will mean that the positronium atoms generated by a positron in the final state of -decay -Ps (TQT) — ortho- and para- — are different from QED-Ps \ , and the mathematical structure of supersymmetry within Hamiltonian dynamics must be complemented by the concept -supersymmetry that go back to the problems of the Hamiltonian graph and the traveling salesman problem.

In this regard, a new and low-energy limit of combining QED and weak interaction is revealed — electroweak interaction/EWI. Consideration of the EWI in the framework of the alternative E. Majorana [6] (true neutral fermions) becomes a strong argument of -supersymmetry [7].

The fundamental unification of physical interactions (Theory of Everything) is achieved by filling each of the nodes of the Hamiltonian graph ( with allotment ALRA core  in dark matter — on Earth and in a gravity field of sufficient strength) by the masses by all stable particles of matter (m_p, m_e, ). The compensating structure of ALRA in “the looking glass” contains these masses with negative sign [2, 4].

This is a worthy occasion to discuss the unified nature of dark matter\dark energy [4].

The program of a decisive experiment was proposed [8].

References

1. Levin B.M., Kochenda L.M., Markov A.A., Shantarovich V.P. Time spectra of annihilation of positrons (²²Na) in gaseous neon of various isotopic compositions. Sov. J. Nucl. Phys., v.45(6), p.1119, 1987.
2. Levin B.M. About extension of Standard Model of Physics.
3. http://science.snauka.ru/2013/01/3279
4. Andreev A.F. Spontaneously broken complete relativity. Pis’ma Zh. Eksp. Teor. Fiz., v. 36 (3), p. 82, 1982.
5. Levin B.M. Atom of Long-Range Action Instead of Counter-Productive Tachyon Phenomenology. Decisive Experiment of the New (Additional) Phenomenology Outside of the Light Cone. Progress in Physics, v.13(1), p.p.11-17, 2017; Levin B.M. Half-Century History of the Project of New (Additional) -Physics, Progress in Physics, v.13(1), p.p.18-21, 2017. http://www.ptep-online.com
6. Di Vecchia P. and Schuchhardt V. N =1 and N = 2 supersymmetric positronium. Phys. Lett., v.B155 (5/6), p. 427, 1985.
7. Majorana E. Teoria simmetrica dell’elettrone e positrone. Nuono Cimento, v. 14 (4), p.p. 171-184, 1937.
8. Levin B.M. Supersymmetry, -Orthopositronium and Electroweak Interaction in the Theory of Everything. Phenomenology. http://web.snauka.ru/issues/2019/05/89372
9. Levin B.M. The Program of the Decisive Experiment to the Project of New (Additional) -Physics “Outside” the Light Cone. http://web.snauka.ru/issues/2019/04/88990