As a child I remember hearing the popular paradox presented by Zeno proposing that Achilles could never catch a tortoise in a race since he would have to traverse the infinite space between himself and the tortoise. After some pondering I concluded that the obvious answer to the dilemma is that the space is not infinitely divisible. Although in later years I learned that this paradox can be explained by a finite infinite series, I have always found it difficult to accept that just because a concept can be supported mathematically, it must therefor exist in reality. In the case of Zeno’s paradox, although finite infinite series do exist, I believe the simple explanation I constructed as a child to be a better answer since it is both a viable solution to the problem, while also being comprehensible at a practical and intuitive level that is often lost with mathematical constructs. A few years ago I learned that the current scientific position is that space is in fact infinitely divisible and I have been disturbed ever since.
Does Infinity exist? In the literature the overwhelming answer to this question by the scientific community is yes... on paper. It is interesting to consider that in spite of a prolonged search for infinity in nature, it remains elusive. Although the importance of the concept of infinity in the field of mathematics is indisputable, ironically, it represents perhaps the most compelling example of a mathematical constructs that is “true” yet non existent in reality. Although many will argue that infinity exists in the singularity at the heart of a black hole, or perhaps at in some fields, when these phenomena are examined they become logically incomprehensible, mathematically error ridden, and physically non existent. If one were to weigh the evidence with respect to the physical existence of infinity, the overwhelming weight points to its non existence. If infinity doesn’t exist than space must be finitely divisible. If so, of what is space divisible into, and what are the consequences of its finite divisibility?
In searching for a possible constituent of the fabric of space one could consider whether the oscillations of electro magnetic states observed by the motion of matter/energy through space are a reflection of the matter/energy “train” moving through space, or perhaps an illumination of the “tracks” on which it travels. As a photon of light, buckyball, or large celestial body travels through space, could it be passing through (occupying), a mesh like network of electro magnetic “cells”? These cells could consist of an electro core surrounded by a magnetic space that causes oscillations in state as the matter moves from one cell to another. Perhaps this process is similar to the duel particle process by which electrons jump between orbitals... i.e.) The energy is particulate in nature while in the middle of each cell but it never occupies the space between each cell as it moves from cell to cell... instead it is exhibits wave like properties between cells.
Dr Richard Feynman once stated that the double slit experiment contains the only mystery of quantum mechanics. If one considers the double slit experiment from within the framework of an electro magnetic mesh through which matter and energy travel the experiment may be able to be accounted for in a more conventional manner than current postulations. Imagine the borders of the electro magnetic cells constantly moving in relation to the material containing the double slits as the earth, laboratory, apparatus, and particles being fired at the screen constantly move through the mesh like network. Depending on the position of the cell abutting the screen relative to the slot, the particle could be in a state of solid, defined, particulate matter, or in a state of diffuse energy (electro or magnetic). If the particle hits the slot in the screen in a state of diffuse energy it will diffusely enter both slits and interfere with itself. If it hits the screen during the solid particle phase it will pass through one of the two slits or hit the barrier and travel through none at all.
Although I am not able to support these ideas mathematically due to a lack of training, the model I am proposing has some interesting intuitive possibilities. These include;
In such a model could movement from cell to cell produce the electromagnetic radiation seen as matter changes velocity/direction when acted on by a force, or by the oscillation of atoms? Perhaps there is an electro magnetic “lag” of the vector a particle was on before force was applied to change its direction.
Could the motion of matter through a network of electromagnetic cells produce gravitational forces? Interesting... the more matter massed together the more cells being “activated” the more gravity being produced. If this was true one would also expect an increase in velocity to result in an increase in gravitational forces since more cells would be activated per unit time.
Could time itself be a function of motion through electro magnetic cell with time being relative to motion through cells similar to the example of gravity mentioned above?
Perhaps some of these questions have been addressed with research done on electron orbitals and energy states?