THE FUNDAMENTAL LATTICE

The scientific hypothesis always goes beyond the facts which formed a basis for its construction.

Vladimir Ivanovich Vernadsky

Date and time

Fudls form a three-dimensional cubic lattice. It is eternal and infinite, not created and indestructible, is absolute and unyielding; does not contain defects and foreign objects. Lattice axes do not prove physical effects therefore the space has no special directions.
In each top of the Lattice meets on 6 fudls. Each fudl has on 5 "neighbors" since both of its ends. Every chronon in top occurs to pair contact interactions. The result – is an oscillation / there is no oscillation – is defined by imposing not only the contact, but also mediated interactions. Speed of fundamental interactions is theoretically infinitely great. Absence for fudls of such property as memory is the reason for that. Apparently, they are incapable to detain on themselves a signal even on one chronon. Therefore fundamental signals absolutely instantly passes through all infinite Lattice. However, they almost completely suppress each other even at small distances. The triad of orthogonal fudls forms natural basis of space.

We will number all edges of the Lattice. The matrix M is the matrix of an instantaneous condition of the Lattice:



or  or , where 

has one of eight possible values:

,

and l, m and n – respectively a coordinate x, y, z of tops of the Lattice.

A graph, isomorphous to the Lattice, is the graph of the instantaneous condition of the Lattice.

The three-dimensional space is unique in the sense that breaks elements of fundamental length only into cubes. Really, the tetrahedron, a cube, an octahedron, a dodecahedron and a regular icosahedron have interior spatial angles at tops respectively (in steradians):



It is apparent that only cubes can be joined closely as the round spatial angle 4π is multiple only Ωc = π/2.
The four-dimensional space-time is a mathematical fiction!

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