Noncommutativity and the weak cosmic censorship

Abstract

We show that a noncommutative massless scalar probe can dress a naked singularity in AdS3 spacetime, consistent with the weak cosmic censorship. The dressing occurs at high energies, which is typical at the Planck scale. Using a noncommutative duality, we show that the dressed singularity has the geometry of a rotating BTZ black hole which satisfies all the laws of black hole thermodynamics. We calculate the entropy and the quasi-normal modes of the dressed singularity and show that the corresponding spacetime can be quantum mechanically complete. The noncommutative duality also gives rise to a light scalar, which can be relevant for early universe cosmology. * Electronic address: kumars.gupta@saha.ac.in † Electronic address: tjuric@irb.hr ‡ Electronic address: asamsarov@irb.hr § Electronic address: ismolic@phy.hr

Black hole thermodynamics in the presence of nonlinear electromagnetic fields

“…Considerably bigger challenge is to generalize all these results for NLE Lagrangians which also include terms with covariant derivatives of the 2-form F, as well as nonminimal coupling to gravitation and other matter fields. Such corrections to the Maxwell's Lagrangian could be produced via generalized uncertainty principle [18] or induced from the noncommutative field theories [30,55,57,82].…”

Observables in Quantum Mechanics and the Importance of Self-Adjointness

“…Since (64) are not elements of the Hilbert space L 2 (R + ) we do not normalize them to 1, but rather interpret them as "stream" of particles. Therefore we have streams of particles with momentum k and −k both with their corresponding amplitude.…”

“…Here θ(α) is the phase of the reflected wave that depends on the parameter α that controls the allowable types of interaction on the boundary. The solutions (64) are often called scattering states. This is often the case in physics.…”

“…Self-adjointness and the theory of SA extensions are known to play important roles in a variety of physical contexts, including systems with a confined particle [21][22][23], Aharonov-Bohm effect [24][25][26][27], graphene [28], two and three dimensional delta function potentials [29], heavy atoms [30][31][32], singular potentials [33,34], Calogero models [35,36], anyons [37,38], anomalies [39][40][41], ζ-function renormalization [42], scattering theory [43], particle statistics [44], black holes [45][46][47][48][49], integrable system [50,51], Klein-Gordon equation [52], renormalons in QM [53], quasinormal modes [54], supersymmetric QM [55] and toy models for strings [56], spectral triple [57], noncommutative field theories [58][59][60], resolving the spacetime singularities [61][62][63][64][65] and even pl...…”

Noncommutative field theory from an angular twist

“…Besides QNM spectra of black holes, there are many other important concepts in physics which may require an appropriate reassessment in terms of quantum nature of spacetime, such as the geodesic and quantum completeness [74], the existence of naked singularities and related issue of validness of the cosmic censorship hypothesis [75], the renormalization of black hole entanglement entropy [76] and a description of physics in terms of fuzzy (Anti)-de Sitter space [77], [78], [79], [80] to name a few. We think that these issues should be given a considerable attention in future studies.…”