Jan Sladkowski | University of Silesia in Katowice (original) (raw)

Papers by Jan Sladkowski

A simple model of a buying-selling cycle is proposed. The model comprises two moves: a rational b... more A simple model of a buying-selling cycle is proposed. The model comprises two moves: a rational buying and a random selling. The notion of a profit intensity is introduced. Supply and demand curves and geometrical interpretation are discussed in this context.

We argue that the recently published by Przystawa and Wolf model of the Bagsik financial oscillat... more We argue that the recently published by Przystawa and Wolf model of the Bagsik financial oscillator is oversimplified and unrealistic. We propose and analyze a refined explanation of this rare financial phenomenon. We have found an example that results in profitability about 45 000 times bigger than that of the Przystawa and Wolf model.

The aim of the paper is to study the Bertrand duopoly example in the quantum domain. We use two w... more The aim of the paper is to study the Bertrand duopoly example in the quantum domain. We use two ways to write the game in terms of quantum theory. The first one adapts the Li-Du-Massar scheme for the Cournot duopoly. The second one is a simplified model that exploits a two qubit entangled state. In both cases we focus on finding Nash equilibria in the resulting games.

The Palgrave Handbook of Quantum Models in Social Science

The authors briefly review quantum game theory and its application in economics. This review is a... more The authors briefly review quantum game theory and its application in economics. This review is addressed at newcomers and some basic ideas of quantum theory are necessary to follow the text—the short introduction in chapter “A Brief Introduction to Quantum Formalism” will be sufficient. Due to the lack of space only the flagship issues will be discussed. Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. We are aware that the implementation of genuine quantum models is not an easy task. Nevertheless, such models are already an interesting although sophisticated theoretical tool.

We discuss the problem of determining the spacetime structure. We show that when we are using onl... more We discuss the problem of determining the spacetime structure. We show that when we are using only topological methods the spacetime can be modelled as an R- or Q-compact space although the R-compact spaces seem to be more appropriate. Demanding the existence of a differential structure substantially narrows the choice of possible models. The determination of the differential structure may be difficult if it is not unique. By using the noncommutative geometry construction of the standard model we show that fundamental interactions determine the spacetime in the class of R-compact spaces. Fermions are essential for the process of determining the spacetime structure.

Fundamental Theories of Physics

In 1854 Riemann, the father of differential geometry, suggested that the geometry of space may be... more In 1854 Riemann, the father of differential geometry, suggested that the geometry of space may be more than just a mathematical tool defining a stage for physical phenomena, and may in fact have profound physical meaning in its own right. Since then various assumptions about the spacetime structure have been put forward. But to what extent the choice of mathematical model for spacetime has important physical significance? With the advent of general relativity physicists began to think of the spacetime in terms a differential manifolds. In this short essay we will discuss to what extent the structure of spacetime can be determined (modelled) and the possible role of differential calculus in the due process. The counterintuitive discovery of exotic four dimensional Euclidean spaces following from the work of Freedman and Donaldson surprised mathematicians. Later, it has been shown that exotic smooth structures are especially abundant in dimension four—the dimension of the physical spacetime. These facts spurred research into possible the physical role of exotic smoothness, an interesting but not an easy task, as we will show.

Symmetry

The symmetry energy is an invaluable tool for studying dense nuclear matter. Unfortunately, its d... more The symmetry energy is an invaluable tool for studying dense nuclear matter. Unfortunately, its definition is somewhat implicit, and therefore, phenomenological methods are necessary to describe experimental facts. This paper discusses the differences arising from the use of Taylor series expansion and Padé approximation to determine theoretically the symmetry energy and the possible consequences for neutron stars. For this purpose, a form of the nuclear matter equation of state that explicitly depends on the symmetry energy is used. The obtained results point out that the applied approximations lead to modifications of the equilibrium proton fractions and equation of state, especially in their high-density limit. However, this effect is small near the saturation density n 0 .

Journal of the Physical Society of Japan

Physica A: Statistical Mechanics and its Applications

Quantum Information Processing

Physica A: Statistical Mechanics and its Applications, 2017

Eprint Arxiv Gr Qc 9906037, Jun 11, 1999

International Journal of Modern Physics D, 2001

We use various results concerning isometry groups of Riemannian and pseudo-Riemannian manifolds t... more We use various results concerning isometry groups of Riemannian and pseudo-Riemannian manifolds to prove that there are exotic R4's which allow the action of only SO(n, 1), SO(n, 2) or finite groups as isometry groups.

Fortschritte der Physik/Progress of Physics, 1990

The emergence of electroweak-unification in the superstring scenario is reviewed. Limitations giv... more The emergence of electroweak-unification in the superstring scenario is reviewed. Limitations given by the known experimental data are discussed.