3 research outputs found
Consequences of a Goedel's misjudgment
The fundamental aim of the paper is to correct an harmful way to interpret a
Goedel's erroneous remark at the Congress of Koenigsberg in 1930. Despite the
Goedel's fault is rather venial, its misreading has produced and continues to
produce dangerous fruits, as to apply the incompleteness Theorems to the full
second-order Arithmetic and to deduce the semantic incompleteness of its
language by these same Theorems. The first three paragraphs are introductory
and serve to define the languages inherently semantic and its properties, to
discuss the consequences of the expression order used in a language and some
question about the semantic completeness: in particular is highlighted the fact
that a non-formal theory may be semantically complete despite using a language
semantically incomplete. Finally, an alternative interpretation of the Goedel's
unfortunate comment is proposed. KEYWORDS: semantic completeness, syntactic
incompleteness, categoricity, arithmetic, second-order languages, paradoxesComment: English version, 19 pages. Fixed and improved terminolog
Bohmian Zitterbewegung
A new bohmian quantum-relativistic model, where in the conventional
Schroedinger picture arises a generalization of the classic Zitterbewegung is
proposed. It is obtained by introducing a new independent time parameter, whose
relative motions are not directly observable but cause the uncertainties of the
quantum observables. Unlike Bohm's original theory, the quantum potential does
not affect the observable motion, as for a normal external potential, but it
only determines that one relative to the new time variable, of which the
Zitterbewegung of a free particle is an example. The model also involves a
relativistic revision of the uncertainty principle for particles with non-zero
rest mass.Comment: 13 page