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If "arrow theory" is the same as the "arrow of time", then it has nothing to do with the future affecting the present. Time flows in one direction - the arrow of time is used, essentially, to describe entropy.
As far as I'm aware, the opposite being true is a theoretical construct. In theory, it's not impossible for order to come from chaos, for matter to spontaneously organise itself into an object rather than for an object to eventually disorder itself. It's just incredibly unlikely. Order turning into chaos is what gives us the "arrow of time" theory. The universe will eventually become disordered, effect follows cause, etc.
As far as I'm aware, the opposite being true is a theoretical construct. In theory, it's not impossible for order to come from chaos, for matter to spontaneously organise itself into an object rather than for an object to eventually disorder itself. It's just incredibly unlikely. Order turning into chaos is what gives us the "arrow of time" theory. The universe will eventually become disordered, effect follows cause, etc.