Talk:Quantum gravity/Archive for 2014

Quantum Supergravity in Quantum Super Yang-Mills PDEs Algebraic Topology

The unification of the Einstein's General Relativity with Quantum Mechanics is realized in the following papers:

[1] A. Prástaro, Quantum extended crystal super PDE's, Nonlinear Analysis. Real World Appl. 13(6)(2012), 2491-2529. DOI: 10.1016/j.nonrwa.2012.02.014.

[2] A. Prástaro, Strong reactions in quantum super PDE's. I: Quantum hypercomplex exotic super PDE's. arXiv: 1205.2894.

[3] A. Prástaro, Strong reactions in quantum super PDE's. II: Nonlinear quantum propagators. arXiv: 1205.2894.

[4] A. Prástaro, Strong reactions in quantum super PDE's. III: Exotic quantum supergravity. arXiv: 1206.4856.

In particular, the new results contained in [2,3,4] explicitly prove that the theory developed in [1] allows to encode strong reactions of high energy physics by means of quantum nonlinear propagators in quantum super Yang-Mills PDE's, and in this way one solves the reciprocal incompleteness of General Relativity and Quantum Mechanics. Let us also emphasize that these new results have been possible thanks to the Algebraic Topology of Quantum Super PDEs, formulated by A. Prástaro in a series of early published works. These allow to go beyond the usual point of view, adopted by physicists, that considers quantum supergravity as classical supergravity quantized by means of standard methods. In fact, that approach cannot well interpret nonlinear quantum phenomena that are dominant in high energy physics. Really the usual canonical quantization of supergravity is made by means of so-called quantum propagators that are essentially obtained from the classical theory by a proceeding of linearization of such a theory. Instead the new Prástaro's concept of quantum nonlinear propagator allows to consider more general non-commutative PDEs and a nonlinear process of integration in the category of quantum supermanifolds. With this respect in [1,2,3,4] one encodes in a natural way all very complex nonlinear quantum phenomena in high energy physics as, for example, quantum black-holes and quantum entanglements. This is impossible in the usual quantum supergravity. This theory allows us also to answer to some problems in Cosmology that have been focused by the Scientific Community. Nowadays the experimental justification of the increasing expansion of our Universe is attributed to some an huge presence of dark-energy-matter, namely energy-matter that is larger than one usually observed. The Prástaro's theory of quantum supergravity, allows to understand that the Universe at the Plank epoch is encoded by a quantum nonlinear propagator with thermodynamic quantum exotic components. This quantum nonlinear propagator has zero quantum energy content, (hence it conserves the vacuum quantum numbers), and produces an expansion of the massive Higgs-universe, until its macroscopic level, called the Einstein epoch. Then the Planck-epoch-legacy has the effect to produce 'inflation' and further Universe's expansion also at the Einstein epoch, thanks to the presence in its boundary of thermodynamic exotic components. The dark-energy-matter is really the cause of the actual Universe as conjectured by some scientist, but it is not so strange or mysterious as it appears. It is a simple boundary effect of the geometrodynamic structure of the Universe legacy at its Planck epoch. Furthermore, 'dark matter' can be considered a generic term to identify virtual massive particles produced when a solution of the quantum super Yang-Mills equation crosses the Goldstone boundary, coming inside the Higgs quantum super PDE, contained into the quantum super Yang-Mills equation. This interpretation for dark matter supports also photo-production of matter in high energy gamma-gamma-scatterings. (In [1] it is proved that the mechanism of quantum mass production is a geometrodynamic effect: a global solution of quantum super Yang-Mills PDEs, crossing the quantum Goldstone-boundary of the Higgs sub-equation, acquires (or loses) mass.)

Agostino.prastaro (talk) 13:42, 28 July 2014 (UTC)