We apply our model of quantum gravity to a Kerr-AdS spacetime of dimension $2 m+1$, $m\ge2$, where all rotational parameters are equal, resulting in a wave equation in a quantum spacetime which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal as gravitational waves. The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. We also prove that the Kerr-AdS spacetime can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the $r$ variable by $\rho=r^2$ such that the extended spacetime has a timelike curvature singularity in $\rho=-a^2$.
In this paper, we prove the mirror symmetry conjecture between the Saito–Givental theory
of exceptional unimodular singularities on the Landau–Ginzburg B-side and the Fan–Jarvis–
Ruan–Witten theory of their mirror partners on the Landau–Ginzburg A-side. On the B-side, we
develop a perturbative method to compute the genus-0 correlation functions associated to the primitive
forms. This is applied to the exceptional unimodular singularities, and we show that the numerical
invariants match the orbifold-Grothendieck–Riemann–Roch and WDVV calculations in FJRW
theory on the A-side. The coincidence of the full data at all genera is established by reconstruction
techniques. Our result establishes the first examples of LG-LG mirror symmetry for weighted
homogeneous polynomials of central charge greater than one (i.e. which contain negative degree
We present a 3D topological picture-language for quantum information.
Our approach combines charged excitations carried by
strings, with topological properties that arise from embedding the
strings in the interior of a 3D manifold with boundary. A quon is
a composite that acts as a particle. Specifically, a quon is a hemisphere
containing a neutral pair of open strings with opposite
charge. We interpret multiquons and their transformations in a
natural way. We obtain a type of relation, a string–genus “joint
relation,” involving both a string and the 3D manifold. We use
the joint relation to obtain a topological interpretation of the C*
Hopf algebra relations, which are widely used in tensor networks.
We obtain a 3D representation of the controlled NOT (CNOT) gate
that is considerably simpler than earlier work, and a 3D topological
protocol for teleportation.
We find the shock wave solutions in a class of cosmological backgrounds with a null singularity, each of these backgrounds admits a matrix description. A shock wave solution breaks all supersymmetry meanwhile indicates that the interaction between two static D0-branes cancel, thus provides basic evidence for the matrix description. The probe action of a D0-brane in the background of another suggests that the usual perturbative expansion of matrix model breaks down.