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Now SEE! If I ran a powerful Hi Tech civilization and we needed some gigawatts of power, I'd cycle the sun through some different energy states as needed to get the fusion boost and maybe heavier elements I wanted...The two sci fi books "Forge of God" and "Anvil of Stars" deal with the concept of inconceivably advanced ET civilizations that use solar systems like billiard tables and create genetically modified species to act as intermediaries with new star faring civilizations moving around the galaxy...Larry Niven's great assertion that "Any sufficiently advanced technology may appear indistinguishable from "magic" to less advanced cultures." might apply here.

These odd systems may simply be massive public works projects...who knows?