Update:
Metivier has already let me know that what he considered to be memory inversion is not really what is being used in the below magic act (Imagine the odds of that being the case) . He is still somewhat mysterious about what it is supposed to mean. Anyway Metivier’s adventures in the letter I hall of his memory palace has motivated me to share the secret of a legendary matchstick boxes act.
Original post:
Metivier made a comment about magicians using memory inversion in Photoreading, The Einstein Factor?. He didn’t explain what he meant by that, so I reacted to him by showing a magic act that may be about that. Since my reply is at the end of a long forum thread many people will never see my display of that magic act. So Here is the magic act again, but now in the category of magic acts (that makes sense 
).
The act is basically a hybrid between “the matchsticks box is full and magically becomes empty trick” and an alternative to “the cups and balls trick”.
Props used in act
So we begin
Make sure that prop 1. is in place. This prop is used to make a rattling sound that tells the audience that we are dealing with a full matchstick box. You show prop 2. (side a up) unopened first and then you open it to show that it is full and then you close it again.
Because some members of the audience may feel that there is something suspicious about the shown matchstick box, we inverse their memory, that is we adjust their memory after the fact so to speak by shaking the box and the sound of the matchsticks (the hidden ones) will alter their memory so that they don’t even remember seeing anything suspicious.
For the next part that resembles “the cups and ball trick” we must flop prop 2. so that side b ends up on top. We do this by moving the matchstick box from our left hand to our right hand and flopping it halfway. We disguise the flop after it has been done (so another memory inversion) by keeping the box moving in a circular motion. After that we shake it and once again to make the rattling sound to reassure our audience that we are still dealing with a full box of matchsticks.
The matchstick box is placed in the middle of the table. The two empty boxes (prop 3.) are first shown to be empty and then closed and finally placed on both sides of the other matchstick box.
Now we move them around slowly just like cups in “the cups and ball act”. We have to act that we do something special when moving even though everybody must be able to keep their eyes on the matchstick box that was in the middle (prop 2.) We then ask someone from the audience to point at the full box of matchsticks and then show that chosen box to be empty instead by opening it.
And at last we come to the prestige (=highlight) of the act; all boxes are shown to be empty.
Final words on psychology used
If we were to show the box of matchsticks (prop 2.) to be empty right after the flop frrom side a to side b, some people may see the connection between the two events. The 2nd part of the act, namely the alternative to “the cups and ball trick”, not only allows for time to fade the memory of the flop, it also gives te audience an alternative moment (the moving around of the boxes) in which something of a deceptive nature might have taken place. In the end their attention is so much diverted that they don’t have a clue as to what has really happened.