Warp drives aren’t going to happen, IMHO.
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Does this mean at least for the next 200-500 years or so — it will take 10-100 years to reach the nearest stars.
Much of star treck is set out about between 2250—2300. Do you think that bradbery was wildly optimistic about about how long in the future it will be before intergalactic travel is possible at speeds that are faster than inter generational
Again, in my opinion, and I have written on this thread just why this is so, there will never be intergalactic travel. There is never going to be any means of travelling at speeds greater than the speed of light. It’s not a question of technology. It’s a matter of geometry. The fundamental shape of our spacetime is such that it isn’t possible to exceed the speed of light in vacuum.