Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation

Abstract

Abstract:In a recent paper (Mod. Phys. Lett. A 2015, 30, 1550104), the black-hole/qubit correspondence (BHQC) was exploited to define "black hole quantum circuits" allowing for a change of the supersymmetry-preserving features of electromagnetic charge configurations supporting the black hole solution. This resulted in switching from one U-duality orbit to another, or equivalently, from an element of the corresponding Freudenthal triple system with a definite rank to another one. On the supergravity side of BHQC, such quantum gates are related to particular symplectic transformations acting on the black hole charges; namely, such transformations cannot belong to the U-duality group, otherwise switching among orbits would be impossible. In this paper, we consider a particular class of such symplectic transformations, namely the ones belonging to the so-called Peccei-Quinn symplectic group, introduced some time ago within the study of very special Kähler geometries of the vector multiplets' scalar manifolds in N = 2 supergravity in D = 4 spacetime dimensions.

Kaluza-Klein State in Bekenstein-Hawking Entropy Cycles

“…where the coefficients allows to a Peccei-Quinn group, ( + 1) [11], whose invariants are of the form…”

“…In the case with both 0 and 0 nonvanishing, one obtains a dyonic large EBH configuration, corresponding to the maximal rank= 4 element in the related Freudenthal Triple System [11]. If some of 0 or 0 vanish, one has a small EBH configuration, since in this case…”

“…Recently these class of operations on a EBH state where investigated by means of Peccei-Quinn (PQ) transformations [11]. These classes of operations on an EBH state can be associated on a BHQC to operators that does not change the magnetic charges of an EBH state.…”

Solar system tests in constraining parameters of dyon black holes

“…Earlier black hole were considered merely a mathematical entity rather than real existing astrophysical objects of the universe. Recently, especially after the successful detection of gravitational waves from black holes collisions [4,5] and the possibility of looking at an astrophysical black holes [6], black holes have become a hot topic in the current physics research [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]. Black holes arise from low energy effective string theories as a result of various compactification schemes.…”