I though of this today so this is an original theory, this is a theory attempting to find the truth in the free will vs. fate arguments.
So I don't really have a clue about the current cloning situation, but we can maybe clone a goat? OK, so the following situation will be completely hypothetical. Much like allegory in the cave one has to go with the scenario and please don't say, this could never happen because... just go with it from where I leave off. I will leave off questions and will respond to comments appropriately. The whole scenario will not be fully explained in the initial post and more will be added, depending on the comments.
So there is a man the subject of "Perfect Cloning". Perfect Cloning is cloning to the exact molecule, where normal cloning emphasizes only gene replication, perfect cloning is everything, the amount of hair, the exact mass down to the last atom, the piece of food stuck to the teeth, the bacteria living on the skin, every single detail of this man, and the organisms present within or on this man down to the last atom. The man gains consciousness within a room, where the clone will gain consciousness in a "perfect clone room" where the room is replicated in exactly the same detail as the originals, down to the last atom. Emphasis is on every single freaking detail, the exact temperature , humidity, air pressure... and time. The location is on the same latitude and longitude of the earth to equalize the time due to to rotation of the earth. The clone's room is on top of the originals, so modifications of air pressure and stuff may be needed. The rooms are exactly the same, down to the last atom! The man regains consciousness at the same time as the clone. The man says, "where am I?"
The question is, would the clone also say the same thing at exactly the same time, as well as with the exact same movements? ie. air released, temperature change, same volume?
Lets use some math.
Say the two rooms, on a molecular level are exactly the same.
R1 and R2 are set equal to each other, so we have:
R1 represents the original room, and R2 the exact replica of the room.
Let M1 represent the original man and M2 represent the clone
R1+M1=R2+M2, assume this is true in terms of whatever, lets use mass as an example. (feel free to substitute mass with anything else)
So original room and the original man combined makes
The question becomes, is this equation true for if X becomes something abstract like the brain frequencies of a human and clone, or the thoughts generated by the human and clone? What about concrete stuff like mass and pressure and movements?