Image:Development-Diagram.gif

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The shape of the red curve is representative of the advancement path of a civilization, within each stage. The rotating triangles represent the possible technology levels on the left side, and the possibilities of collapse on the other. As the civilization surpasses approximately level X.95 in each cycle the possibility of collapse returns to zero. This coincides with a technological singularity on the opposite side. At the beginning of the stage technology possibilities are zero. The technology development occurs logarithmically versus exponential energy growth around the beginning of a stage. Around 0.8, from empirical evidence from our stage, energy development seems to match pace with technology development. Once this point is surpassed it has been suggested by the works and statements of Carl Sagan, Stephen Hawking, and Freeman Dyson, and the design of the Kardashev Scale and the civilization lifetime variable of the Drake Equation that a collapse point can either occur, or entrance to a period of unprecedented technological change. The image is a rough diagram of the changes over each type, but is used as a visual reference through the rest of the article. Real civilization changes cannot be simplified to this level, where wide variations will occur within type, but mathematically and historically this diagram seems to hold true.

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