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Dude, where's my spaceship? Dude, where's my spaceship? Albert Einstein Albert Einstein Science Fiction Science Fiction Science Fiction Science Fiction Science Fiction Science Fiction Science Faction Science Faction c c 299,792,458


  1. Dude, where's my spaceship? Dude, where's my spaceship? Albert Einstein Albert Einstein

  2. Science Fiction Science Fiction

  3. Science Fiction Science Fiction

  4. Science Fiction Science Fiction

  5. Science Faction Science Faction

  6. c c ● 299,792,458 m/s (in a vacuum) 299,792,458 m/s (in a vacuum) ● The fundamental constant of relativity The fundamental constant of relativity

  7. Gedankin, anyone? Gedankin, anyone? Two ships, one beam of light Two ships, one beam of light ●

  8. Gedankin, anyone? Gedankin, anyone? Two ships, one beam of light Two ships, one beam of light ● Both see light as going c Both see light as going c ● Something's gotta give Something's gotta give ● Time! Time! ●

  9. Another example Another example ● Clocks (to the whiteboard!) Clocks (to the whiteboard!) ● What if the moon disappears? What if the moon disappears?

  10. Paradox of the twins Paradox of the twins

  11. More Trouble More Trouble ● Infinite mass to reach the speed of light in finite Infinite mass to reach the speed of light in finite time or with finite acceleration time or with finite acceleration

  12. Can anything move faster? Can anything move faster? ● Two objects moving away at 0.99c? Two objects moving away at 0.99c? – No information travel! No information travel! ● Rotating a giant stick Rotating a giant stick – Transmits force at most c Transmits force at most c ● Tachyons Tachyons – Imaginary mass, or already moving faster Imaginary mass, or already moving faster than c than c – Can't detect them, so they are useless Can't detect them, so they are useless

  13. Surely there's a way Surely there's a way ● Here are some possibilities Here are some possibilities

  14. Casimir Effect Casimir Effect ● Vacuum Energy Vacuum Energy – Lower the energy, c becomes bigger Lower the energy, c becomes bigger – Negligible increase Negligible increase

  15. Quantum Entanglement Quantum Entanglement ● Spooky action at a distance Spooky action at a distance ● Can't be used to transmit information Can't be used to transmit information

  16. Wormholes Wormholes ● Connection between two distant points in space Connection between two distant points in space ● Closed timelike curves Closed timelike curves ● Causality violations? Causality violations?

  17. Alcubierre Drive Alcubierre Drive ● Contract space in front of ship while expanding Contract space in front of ship while expanding space behind it rapidly space behind it rapidly ● Requires ridiculous amounts of dark energy Requires ridiculous amounts of dark energy

  18. Time travel Time travel ● Paradoxical? Paradoxical? – e.g. Grandfather paradox e.g. Grandfather paradox ● There are philosophical arguments that prevent There are philosophical arguments that prevent paradox paradox

  19. Faster than light travel Faster than light travel ● Relativity of Simultaneity Relativity of Simultaneity – Train thought experiment Train thought experiment ● The mathematics show that if a signal is sent at The mathematics show that if a signal is sent at FTL, some frames will see it as being received FTL, some frames will see it as being received before it is sent before it is sent

  20. Closed time-like curves Closed time-like curves

  21. Wormholes again Wormholes again ● Take one entrance to the wormhole Take one entrance to the wormhole ● Accelerate it to near c Accelerate it to near c ● Move it back to other entrance Move it back to other entrance ● Time inside the wormhole remains synchronized Time inside the wormhole remains synchronized ● Can only move back as far as when the system Can only move back as far as when the system was created was created ● Requires dark energy Requires dark energy

  22. What does the future hold? What does the future hold?

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