Originally posted by twhitehead
OK so far. Remember though that the hypothesis is that the set of rules can be worked in both directions of time. ie given a particular state, one can use the rules of physics to work out both future states and past states in the exact same way.
[b]There is no 'future or past' just the present, but the present keeps changing, as the particles move arou ons be equivalent? How many particles must be added before a difference starts to emerge?[/b]
Ok. I haven't been clear.
In the example I am talking about, there is no direction of time, there is no time, period.
Time is not a thing, it has no direction, it's an illusion.
It's very hard to talk about this without using words that are time related, and saying things like before and after.
But don't confuse this for thinking that time actually exists. (it might or might not, this is just one interpretation)
Ok we have a system with some number of particles.
They all have a position and velocity/momentum and are acted on by forces according to the laws of physics.
This is the systems current state.
Neither the past nor the future exist, just the present.
However this present keeps changing. The particles move, because of their momentum and the forces acting on them.
The past is the state it was just in, the future the state it's about to be in.
The only thing that matters for determining the next state is the current one.
It doesn't matter how you got to this state, it could be instantly created in this state.
All that is needed to determine the next state is the current one.
The system doesn't 'remember' the past, it's just that the previous state 'caused' the present state, and the
state before that caused the previous state, and so on.
You could imagine a marble rolling down a board with nails in it (like this one) under entirely Newtonian deterministic physics.
http://playingwithmathematica.com/2011/04/29/a-monte-carlo-bell-curve/
http://www.karlsims.com/marbles/index.html
The present position of the marble is due to it's initial position/velocity, and its acceleration due to gravity and it's collisions
with the barriers/nails/ect on the way down.
It's current state is a result of it's past, not it's future.
The existence of further nails that it will collide with has no effect on it's present position.
If this marble were slightly soft and malleable, it would have marks on it indicating it's past collisions.
It wouldn't have marks on it representing collisions that haven't happened yet.
Thus the marble has a memory (of sorts) of it's past but not the future.
The past has left an imprint by determining the present state.
The present state will determine what the future state is.
Our memories are like the marks left in the marble, they are caused by the past and not the future.