The category ${\mathfrak Q}$, (resp. ${\mathfrak Q}_S$), of quantum manifolds, (resp. quantum supermanifolds), introduced by A.Pr\'astaro, gives a natural framework where implement a geometric theory of quantum (super) partial differential equations (PDE's). The interest for quantum supermanifolds is motivated by the fact that these structures allow us to describe the unification of all the four fundamental forces (gravity, electromagnetic, weak nuclear, strong nuclear), at the quantum level. In this note we present some recent developments in this direction. In particular we will consider quantum black holes as solutions of quantum super Yang-Mills equations. These interpret very high energy level production of particles, where the effects of strong-quantum-gravity become dominant.

On quantum black-hole solutions of quantum super Yang-Mills equations / Prastaro, Agostino. - STAMPA. - 5:(2008), pp. 407-414. (Intervento presentato al convegno Fifth International Conference on Dynamic Systems and Applications tenutosi a Morehouse College, Atlanta, Georgia - USA nel May 30 - June 2, 2007).

On quantum black-hole solutions of quantum super Yang-Mills equations

PRASTARO, Agostino
2008

Abstract

The category ${\mathfrak Q}$, (resp. ${\mathfrak Q}_S$), of quantum manifolds, (resp. quantum supermanifolds), introduced by A.Pr\'astaro, gives a natural framework where implement a geometric theory of quantum (super) partial differential equations (PDE's). The interest for quantum supermanifolds is motivated by the fact that these structures allow us to describe the unification of all the four fundamental forces (gravity, electromagnetic, weak nuclear, strong nuclear), at the quantum level. In this note we present some recent developments in this direction. In particular we will consider quantum black holes as solutions of quantum super Yang-Mills equations. These interpret very high energy level production of particles, where the effects of strong-quantum-gravity become dominant.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/174187
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