... thenarmis@yahoo.com The black hole, which arises solely from an incorrect analysis of the Hilbert solution, is based upon a misunderstanding of the s... ...tion The variabler has given rise to much confusion. In the con- ventional analysis, based upon the Hilbert metric, which is almost invariably and inc... ...matter and charge requires the determination of the mappingψ. The orthodox analysis has completely failed to understand this and has consequently fail... ...nd this and has consequently failed to solve the problem. The conventional analysis simply looks at the Hilbert metric and makes the following unjusti... ...ory — all the postulates are naturally contained in the geometry of a four-dimensional pseudo- Riemannian space with the sign-alternating signature (−... ...e theory. Verifcation of the theory by experiments has shown that the four-dimensional pseudo-Riemannian space satisfes our observable world in most c... ...al coordinates are imaginary, because the observable projection of a four- dimensional impulse on the spatial section of any given observer is positiv... ...n to displace a free mass-bearing particle of rest-mass m 0 through a four-dimensional interval of length ds. What happens to matter during this actio... ...metric tensorg αβ to the energy-momentum tensor of matter through the four-dimensional curvature of space-time. This implies that the gravitational fe...

... and spatial coordinates are imag- inary, because the projection of a four-dimensional impulse on the spatial section of any given observer is positiv... ... observable quantities (chronometric invariants) are pro- jections of four-dimensional quantities on his time line and the spatial section, made by pr... ... usual symbols Γ α μν = =g ασ Γ μν,σ , usingh ik instead ofg αβ . The four-dimensional generalization of the chr.inv.-quan- tities F i , A ik , and D ... ...e time, as Synge’s well-known book [12] shows, in a space of constant four-dimensional curvature, K= const, we haveR αβγδ =K(g αγ g βδ −g αδ g βγ ),R ... ... in an arbitrary curvature space, we obtain a correlation between the four-dimensional curvature K and the observable three- dimensional curvature in ... ... a ν =γ μ γ ν D μ a ν (57) where D μ is the covariant derivative of tensor analysis. Decomposing the Clifford product γ μ γ ν into its sym- metric and... ...nopoles in Maxwell’s theory was investigated by [89] and a recent critical analysis of “unifed” theories of gravity with electromagnetism has been pre... ...the notion of fractal “manifolds”. A scale- fractal calculus and a fractal-analysis construction that are esential in building the notion of a fractal... ...lgebras and physics. Edited by R. Ablam- owicz, B. Fauser. Vol 2: Clifford analysis. Edited by J. Ryan, W. Sprosig. Birkhauser, Boston, 2000. 7. Loune...

...spiritual, respectively, of the spatiotemporality, yet, upon an objective analysis, one can find that the hypotheses of the concept are of a scienti... ...conformist inability, have recourse to whimsical assumptions, in the last analysis of the same nature as the occultist ones. Any occultist ″speciali... ... since those cannot exist. Different spaces can only be (necessary) ″n″ - dimensional mathematical fictions, but the latter are not real spaces. One... ...e existence of parallel worlds, of concurrent: existences in different n-dimensional spaces (The existence of these parallel worlds represents inde... ... the moral rules, especially those of the natural morals, and in the last analysis, the divine judgement takes effect, through monadic dissociation ... ... sacred predestination, and if these acts occur, they reflect in the last analysis some deficiencies of a moral nature. The manifestation of the rei... ... human mind. The equilibrium between the two directions which, in the last analysis, signifies the way to the truth, is determined by the divine laws...