Communication Network Quantification

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The following is a series of examples of the quantification of communications network potential or potential value. The diagrams are topological, and that modality of mathematical mapping can be quantified without limit to its dimensions or their value.

F = Communications Flux, Flux

L = Line or Dimension

F = 2L

N = Node of Communication, Communicator

Constant Flux

N + F = N^2

F = N^2 - N

Variable Flux (Continuum)

F[i] = N[i]^4x + N[i]^2x

A = n[a] ^ 4x + n[a] ^ 2x

A continuum or dimension is a time evolved continuum, where x = ( ω/2 * Pi ) * t.

F =< 1 ,

[ Fractional numbers ], F = 1 / [ Natural numbers ] ,

n ϵ N

Visually a world line, perpendicular to each node into and out of the page is considered. For a polygonal object the effect would be a toroidal prism or manifold. For a circle, the result is the basis of the string theory Bulk - a torus.

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