G-dimensional Theory [jnl article]

The Smarandache Quantum Paradoxes ["Nature", Vol. 413, No. 6854] and Smarandache Hypothesis (that there is no speed barrier in the universe and one can construct arbitrary speeds up to infinite) are defined as a formal set of (anti-logic) statements inclusive in modern quantum theory. To determine whether they constitute theoretical artifacts or can be considered true physical paradoxes, G Dimensional Theory, a unique, logical and physically congruent system of physics, at significant variance with modern and classical theory, is presented in Sections 3-4. In Section 5, within context of the two theories, follows a comparative analysis of the following Smarandache quantum paradoxes : (A) Sorites Paradox: Our visible world is composed of a totality of invisible particles. (a) An invisible particle does not form a visible object, nor do two invisible particles, three invisible particles, etc. However, at some point, the collection of invisible particles becomes large enough to form a visible object, but there is apparently no definite point where this occurs. (b)A similar paradox is developed in an opposite direction. It is always possible to remove a particle from an object in such a way that what is left is still a visible object. However, repeating and repeating this process, at some point, the visible object is decomposed so that the left part becomes invisible, but there is no definite point where this occurs. (B) Uncertainty Paradox: Large matter, which is under the 'determinist principle', is formed by a totality of elementary particles, which are under Heisenberg's'indeterminacy principle'. (C) Unstable Paradox: Stable matter is formed by unstable elementary particles (elementary particles decay when free). (D) Short Time Living Paradox: Long time living matter is formed by very short time living elementary particles. How to resolve these quantum Smarandache paradoxes? The Smarandache Quantum Paradoxes [“Nature”, Vol. 413, No. 6854] and Smarandache Hypothesis (FTL) are defined as a formal set of (anti-logic) statements inclusive in modern quantum theory. To determine whether they constitute theoretical artifacts or can be considered true physical paradoxes, G Dimensional Theory, a unique, logical and physically congruent system of physics, at significant variance with modern and classical theory, is presented in Sections 3-4. A comparative analysis of the Smarandache quantum paradoxes within context of the two theories follows in Section 5.