Testing a Possible Way of Geometrization of the Strong Interaction by a Kaluza-Klein Star

Geometrization of the fundamental interactions has been extensively studied during the century. The idea of introducing compactified spatial dimensions originated by Kaluza and Klein. Following their approach, several model were built representing quantum numbers (e.g. charges) as compactified space-time dimensions. Such geometrized theoretical descriptions of the fundamental interactions might lead us to get closer to the unification of the principle theories. Here, we apply a $3+1_C+1$ dimensional theory, which contains one extra compactified spatial dimension $1_C$ in connection with the flavour quantum number in Quantum Chromodynamics. Within our model the size of the $1_C$ dimension is proportional to the inverse mass-difference of the first low-mass baryon states. We used this phenomena to apply in a compact star model -- a natural laboratory for testing the theory of strong interaction and the gravitational theory in parallel. Our aim is to test the modification of the measurable macroscopical parameters of a compact Kaluza-Klein star by varying the size of the compactified extra dimension. Since larger the $R_C$ the smaller the mass difference between the first spokes of the Kaluza-Klein ladder resulting smaller-mass stars. Using the Tolman-Oppenheimer-Volkov equation, we investigate the $M$-$R$ diagram and the dependence of the maximum mass of compact stars. Besides testing the validity of our model we compare our results to the existing observational data of pulsar properties for constraints.Comment: 10 pages, 2 figure

Apóriák, avagy természettudomány és teológia párbeszédben

Természettudomány és keresztény teológia a valóság két különböző megközelítését nyújtja számunkra. Bár viszonyukat az elmúlt évszázadokhoz képest ma kevesebb konfliktus terheli, a két megközelítésmód összebékítése továbbra is nehéz feladat. Egy gondolkodástörténetből vett közel 2500 éves példa azonban arra figyelmeztet minket, hogy a tudomány fejlődése makacsnak látszó logikai zsákutcákból is meglepő kivezető utat nyithat

Textúrázott felületek fényképfelvételeken és pontfelhőn alapuló rekonstrukciója

A dolgozat a két cikk alapján bemutatja a Poisson és a Power Crust felületrekonstrukciós algoritmusokat, továbba tartalmaz egy lehetséges textúrázó eljárást több rögzítő eszköz által készített, texúrakoodinátákkal ellátott pontfelhő esetén

Plane waves as tractor beams

It is shown that in a large class of systems plane waves can act as tractor beams: i.e., an incident plane wave can exert a pulling force on the scatterer. The underlying physical mechanism for the pulling force is due to the sufficiently strong scattering of the incoming wave into another mode having a larger wave number, in which case excess momentum is created behind the scatterer. Such a tractor beam or negative radiation pressure effect arises naturally in systems where the coupling between the scattering channels is due to Aharonov-Bohm (AB) gauge potentials. It is demonstrated that this effect is also present if the AB potential is an induced, ("artificial") gauge potential such as the one found in J. March-Russell, J. Preskill, F. Wilczek, Phys. Rev. Lett. 58 2567 (1992).Comment: 6 pages, 4 figure