Complete the time traveler’s warning manual. Choose the grammatically correct sentence.
The correct answer is Were you to encounter your past self, the universe might implode.
To invert a second conditional sentence (If you encountered...), we use the structure Were + subject + to + infinitive.
"Should" is used for first conditional inversions and must be followed by a bare infinitive ("Should you encounter..."), making "Should you encountered" incorrect. "Did" is never used to invert conditionals in this manner.