# Search results for: J. Czajko

International Letters of Chemistry, Physics and Astronomy > 2015 > Vol. 52 > 172--177

Since a hierarchical notion of dimension is needed to ensure that a virtual, indirect orthogonality of dimensions is maintained in higher-dimensional spatial structures, a generic function for furling and unfurling of the fourth dimension in four-dimensional (4D) spatial structures is proposed. The furling allows three extra dimensions (above the regular three) in a 6D algebraic structure to be represented...

International Letters of Chemistry, Physics and Astronomy > 2015 > Vol. 52 > 172--177

Potential energy quotient of the angular nonradial to the usual radial potential energy (and the quotient’s density for a closed orbit or an openended trajectory of a satellite) is offered without direct dependence on the mass of the given (assumed as nonrotating) celestial body (such as star or planet) but with explicit dependence on the body’s density of matter.

Although in mathematical sense the actual meaning of Galilei‟s experiments conducted at leaning tower of Pisa is that he failed to detect any measurable impact of composition of matter on gravitating bodies, the obvious failure is mistakenly interpreted as experimental confirmation of lack of the impact instead. Galilei did not really perform internal validity checks of his experiments, because he...

Since former definition of work done by any radial/center-bound (central) force field (and consequently thus also of the corresponding to it expense of potential energy of the field) was incompletely defined (so that these two basic notions were valid only for purely radial phenomena), some indirect estimations of those linear magnitudes that relied on the former (incomplete yet always presumed as...

Operationally complete representation of work done and the corresponding to it potential energy within the usual radial/center-bound, nonrotating gravitational force fields comprises two extra terms: linear nonradial and angular nonradial, in addition to the usual radial term. Since these nonradial terms have negative signs, they suggest presence of potentials corresponding to repulsive forces generated...

Since polynomials of higher than fourth degree, which is the algebraic counterpart of generic geometric dimension, are insolvable in general, then presumably no more than just four mutually orthogonal geometric dimensions can be placed within a single geometric space if it is expected to be fully operational. Hence a hierarchical notion of dimension is needed in order to ensure that at least virtual...