Which theory of history is correct is correct (west civ proj section 1)

I think that the theory of history as a vortec is correct because history acts more like what this theory describes. This was thought of by William Butler and is similar to what hapens to an acordian. It explaines that history gets from larger to smaller and then larger or even smaller to larger and then smaller. This is like how the roman empire was non exestant,became a superpower, and then fell. The empire goes from small to large and then small. This is the most acurate of all the theories because it describles cansistantly what hapens to civilizations. I don't beleive that a circle could describe this type of history or even a straight line.