arXiv subjects

Konstantinos Anagnostopoulos

Publications and source records attributed to Konstantinos Anagnostopoulos.

5 recordsLinked to original sources

arXiv2022

Complex Langevin studies of the emergent space-time in the type IIB matrix model

The type IIB matrix model has been proposed as a non-perturbative definition of superstring theory since 1996. We study a simplified model that describes the late time behavior of the type IIB matrix model non-perturbatively using Monte Carlo methods, and we use the complex Langevin method to overcome the sign problem. We investigate a scenario where the space-time signature changes dynamically from Euclidean at early times to Lorentzian at late times. We discuss the possibility of the emergence of the (3+1)D expanding universe.

hep-th↗

arXiv2021

Relationship between the Euclidean and Lorentzian versions of the type IIB matrix model

The type IIB matrix model was proposed as a non-perturbative formulation of superstring theory in 1996. We simulate a model that describes the late time behavior of the IIB matrix model by applying the complex Langevin method to overcome the sign problem. We clarify the relationship between the Euclidean and the Lorentzian versions of the type IIB matrix model in a recently discovered phase. By introducing a constraint, we obtain a model where the spacetime metric is Euclidean at early times, whereas it {\it dynamically} becomes Lorentzian at late times.

hep-lat↗

arXiv2021

A new phase in the Lorentzian type IIB matrix model and the emergence of continuous space-time

The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. In previous studies, Monte Carlo calculations provided interesting results indicating the spontaneous breaking of SO(9) to SO(3) and the emergence of (3+1)-dimensional space-time. However, an approximation was used to avoid the sign problem, which seemed to make the space-time structure singular. In this talk, we report our results obtained by using the complex Langevin method to overcome the sign problem instead of using this approximation. In particular, we discuss the emergence of continuous space-time in a new phase, which we discovered recently.

hep-lat↗

arXiv2018

Introducing an innovative robot-based mobile platform for programming learning

The present study introduces an Android based application that focuses on promoting students' learning experience when interacting with Lego Mindstorms Robotic Kit NXT. A thorough investigation of the current literature reveals that there are numerous applications attempting to overcome the limitations of Lego platform which, however, appear to only partially succeed in significantly improving children's engagement in fruitful learning. Their main limitations are that they either function on an elemental level or suffer from a general lack of creating effectively room for children to test their abilities and other curiosities. Aiming at confronting these limitations, the proposed android application, which is referred to as MyNXT, was created and presented. MyNXT offers direct access control along with the choice to program using simple linear logic through an easy and a user friendly environment with built in instructions for all ages. Concluding, the proposed application constitutes a stepping to an educating platform, which can facilitate the learning needs of children in contemporary times.

cs.CY↗

arXiv1993

Fluid Random Surfaces with Extrinsic Curvature: II

We present the results of an extension of our previous work on large-scale simulations of dynamically triangulated toroidal random surfaces embedded in $R^3$ with extrinsic curvature. We find that the extrinsic-curvature specific heat peak ceases to grow on lattices with more than 576 nodes and that the location of the peak $\lam_c$ also stabilizes. The evidence for a true crumpling transition is still weak. If we assume it exists we can say that the finite-size scaling exponent $\frac α {νd}$ is very close to zero or negative. On the other hand our new data does rule out the observed peak as being a finite-size artifact of the persistence length becoming comparable to the extent of the lattice.

hep-th↗