I wouldn't make Time = anything yet.
Time is our symbolic measurement and ordering of change. Change is what we observe.
Bitcoin makes that distinction beautifully visible, block order is retained change. The clock is our description of when that is observed.
Maybe don't search for the mirror of energy/time.
Remove time and see what survives. Survives is not existence or non-existence, it's what the change doesn't change in that instance of change.
