Zwicky thought that the entire solar system could reach Alpha Centauri in a few thousand years.Forty years later, physicist Leonid Shkadov proposed that far advanced extraterrestrial civilizations might harness the energy output of their sun for interstellar migration. They would use a "stellar engine" - no need for fusion motors here. Simply construct an immense spherical mirror that reflects some of the star's radiation back onto its surface.
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This radiation pressure on the star creates an imbalance where a net force pushes the star in the opposite direction. This is simply Newtonian physics, though Sir Isaac would have never imagined such an application.To work, such a stellar engine would have to be a megastructure, millions of miles across (shown above). The bad news is that a planet might have to be dismantled to make such a monstrosity. The good news is that such megastructures - if they exist - should be detectable with today's telescope technology.
Duncan Forgan, of the University of Edinburgh, proposes that such a mega-mirror might obstruct part of the disk of a star during our observations that look for planets passing across the face of a star, an event call a transit. More Here
Reference: faces-on-mars.blogspot.com
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