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QUANTIZATION - THE UNIVERSALITY OF HYPERBOLIC GEOMETRY

Author: Nicolae Mazilu

Published on Sunday, June 22nd, 2008 in category ProtoQuant

Conclusions

The “quantization” is actually the reason we can see the colors of light: the distance along the rays is quantized, is a wavelength. Moreover, this procedure also explains phenomena like the Doppler Effect for instance: the absolute distance between two material points depends on the relative motion of those two material points. We have to pay close attention though: this effect is “pure” only as long as the equation (6) is satisfied. If Barbilian differential form is non null, then the conclusion might as well be biased. We might find, for instance, that there is no Hubble constant or Great Attractor or any such things. These are indeed only the reflection of relative motion, but not “laws” or real objects. Useless to say, the spectra can be thought of in exactly the same terms. In this section we just showed that the Geometry of Physical Optics is also valid for particles in the sense of Hertz. Again, this is a relationship between waves and particles which does not use the concept of frequency at all. Therefore, there is a connection between waves and particles, but this is only in the nature of our perception of the World, not related to the law of conservation of energy. The original de Broglie association may be indeed a mathematical reflection of the fact that the energy conservation is a law when taken jointly with the frequency conservation.

In order to properly use these results we need to know, of course, something about the evolution of statistics of the particles inside a material point. But even without a deep knowledge of that statistics, one can say something about the general interaction of the material points. In spite of the fact that this image of interaction might seem something like a mathematical fiction, there are however indications that it might describe the reality. Well, if someone believes in partons, like physics’ theorists do, it is certainly a reality. However, we have in mind phenomena like the creation of charge in Geiger-Marsden experiments (Larson, 1963) or, at the macroscopic level the unexplained explosion of comets or meteorites. This might have been the case for instance with the Tunguska event: the body reached a state where its image with respect to Earth disintegrated, just like a nucleus.

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