Cheating the death of the sun by relativistic interstellar spaceflight

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For the human species and its unique culture to survive the death of the sun, a bridge must be built to other solar systems with earthlike planets. The Kepler space telescope has discovered a large number of extrasolar planets, but only a few with earthlike conditions, and those are many light years away. Assuming that no new fundamental laws of physics which would greatly facilitate interstellar spaceflight are awaiting discovery, one can only see two avenues:First, at 10% of the speed of light via deuterium fusion bomb propulsion, harvesting the deuterium in the comets of the Oort clouds surrounding our and other suns, and by hopping from comet to comet. Second, with relativistic velocities by matter-antimatter generated GeV laser beams released from relativistically stabilized hydrogen-antihydrogen super-pinch discharges, transmitting the recoil of the laser beam by the Mössbauer effect to the spacecraft. The production of the anti-hydrogen can be done with solar energy in robotic factories on the planet Mercury. For the first, but much more for the second possibility, very large masses must be lifted in one stage into low Earth orbit. This can conceivably be done by chemically ignited pulsed pure fusion bomb propulsion.