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Given the extreme difficulty in finding analytical solutions to Einstein’s equations for universe models, such as the Bianchi type IX, different physical-mathematical techniques have been designed to attempt to find, at least approximate solutions that could have relevance in modern cosmology. Belinskii, Khalatnikov and Lifshitz (BKL) have developed a method to study a particular time evolution dynamic of the Bianchi type IX universe model. Herein, it is shown that this method contains pitfalls. These pitfalls, among other things, prevent the conclusion that this model provides chaotic behaviour. We show that the initial presumption made by BKL turns out to be inconsistent with the assumed initial conditions, since it cannot be kept along with the time-extended BKL process. That is, the Kasner stipulations corresponding to ???, taken as initial conditions, are at odds with the initial assumption imposed on Einstein’s field equations.

Lorentz symmetry, a cardinal element of the special theory of relativity, is incorporated to the basic structure of modern physics whicb, in part, attempts the unification of gravity and quantum mechanics. The violation of such symmetry would bring about transcendental consequences. Tbe effect of Lorentz transformations on a spberica! wave front is presented bere. The observer assumed to be in uniform movement would also perceive a spherical wave front. It is shown that the image seen by this observer tums out to be nonspherical.Resume: La symétrie de Lorentz est un élément principal de la tbéorie de la relativité restreinte; elle est incorporée à la stmcture de base de la physique modeme, laquelle, en partie, veut réaliser une unification de la mécanique quantique avec la force de gravité. La violation d'une telle symétrie peut entraîner des conséquences transcendantales. Dans cet article, nous avons étudié l'effet des transformations de Lorentz sur un front d'onde spbérique. L'observateur en mouvement uniforme devrait apercevoir aussi un front d'onde spbérique. Nous avons démontré par contre que l'image vue par l'observateur n'est pas spbérique.

A basic fundamental analysis indicates that any radiation emitted by remote objects, such as galaxies and quasars, has only a limited age in comparison with that of the Universe. The radiation emitted by such objects thousands of millions of years ago is the oldest one that can be detected. Any previous radiation emitted by these bodies during their dispersion process resulting from the Universe expansion cannot be detected. It is shown on the basis of this analysis that the age of the Universe is much greater than that established as 13,700 millions of years and that the cosmic microwave background radiation must have a source other than the Big Bang.

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