Abstract This paper deals on artificial intelligence (AI) application for the estimation of kerf geometry and hole diameters laser micro-cutting micro-drilling operations. To this aim cutting drilling operation were performed NIMONIC 263 superalloy sheet, 0.38 mm in nominal thickness, by way a 100 W fibre modulated wave regime. Linear cuts holes (by trepanning) fixing average power at 80 changi...

The near-horizon geometry of an asymptotically AdS5 supersymmetric black hole discovered by Gutowski and Reall is analysed. After lifting the solution to 10 dimensions, we explicitly solve the Killing spinor equations in both Poincaré and global coordinates. It is found that exactly four supersymmetries are preserved which is twice the number for the full black hole. The full set of isometries ...

I summarize the basic ideas and formalism of loop quantum gravity. I illustrate the results on the discrete aspects of quantum geometry and two applications of these results to black hole physics. In particular, I discuss in detail the derivation of the Bekenstein-Hawking formula for the entropy of a black hole from rst principles.

The attractor mechanism implies that the supersymmetric black hole near horizon solution is defined in terms of the conserved charges only and therefore is independent of asymptotic moduli. Starting only with the near horizon geometry, Sen’s entropy functional formalism computes the entropy of an extreme black hole by means of a Legendre transformation where the electric fields are defined as c...

We provide new exact solutions of the Einstein equations which generalize the noncommutative geometry inspired Schwarzschild metric, previously obtained by the authors. We consider here more general equations of state and find new geometries describing both a regular “dirty black hole” and a “wormhole”. We discuss strong and weak energy condition violation and variuos aspects of the regular dir...

I summarize the basic ideas and formalism of loop quantum gravity. I illustrate the results on the discrete aspects of quantum geometry and two applications of these results to black hole physics. In particular, I discuss in detail the derivation of the Bekenstein-Hawking formula for the entropy of a black hole from first principles.

We review the way the BTZ black hole relaxes back to thermal equilibrium after a small perturbation and how it is seen in the boundary (finite volume) CFT. The unitarity requires the relaxation to be quasi-periodic. It is preserved in the CFT but is not obvious in the case of the semiclassical black hole the relaxation of which is driven by complex quasi-normal modes. We discuss two ways of mod...

We revisit the 4D generalized black hole geometries, obtained by us [1], with a renewed interest, to unfold some aspects of effective gravity in a noncommutative D3-brane formalism. In particular, we argue for the existence of extra dimensions in the gravity decoupling limit in the theory. We show that the theory is rather described by an ordinary geometry and is governed by an effective string...

Two-dimensional dilaton gravity coupled to a Klein-Gordon matter field with a quartic interaction term is considered. The theory has a classical solution which exhibits black hole formation by a soliton. The geometry of black hole induced by a soliton is investigated. E-Mail:[email protected] E-Mail:[email protected]

The two dimensional substructure of general relativity and gravity, and the two dimensional geometry of quantum effect by black hole are disclosed. Then the canonical quantization of the two dimensional theory of gravity is performed. It is shown that the resulting uncertainty relations can explain black hole quantum effects. A quantum gravitational length is also derived which can clarify the ...