QUANTIZATION - THE UNIVERSALITY OF HYPERBOLIC GEOMETRY
Author: Nicolae Mazilu
Published on Sunday, June 22nd, 2008 in category ProtoQuant
ABSTRACT For one reason or another, we say that the matter is confined. This is how we always perceive it – in pieces. As these pieces are in a wide variety of dimensions, and as we learned that by using forces we can break the pieces into even smaller ones, we then say that the matter is formed of pieces confined by some forces between their ultimate components. The minimal image we can have of the components of a piece of matter is that of a material particle in the sense of Hertz: ultimate piece of matter, indestructible, indicating a point in space, existing only in matter. According to the same philosophy, the most general material structure we can think of is that of material point. Although the name suggests geometrical point, this is not the case in reality, inasmuch as the definition of the material point depends on scale. For instance the stars can be considered material points, but they are not material particles. They are formed of material particles.