There is no law in physics which disproves time travel.
So strictly theoretically, yes; it is possible.
My personal paradox with time travel this thus:
- Say; you built a time machine, and never again will another be made.
- When you turn it on for the first time, you receive a message from the future (your future time machine)
- This message tells you to destroy the machine.
- You do
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Here is the paradox.
If you destroy it; then it would not exist in the future to send you the message to destroy it.
Enjoy having that play on your minds for at least a few minutes
It is basically the grandfather paradox with a twist.
~Frosty.