If the past is a cone of possible pasts, most of which have higher entropy than the present (due to time symmetry), that means your memories are probably fake, because they describe a past with lower entropy. This is known as Loschmidt’s paradox.
One popular solution to the paradox is to assume that the distant past had very low entropy for some reason. If that’s right, that means the past’s nondeterminism is different from the future’s nondeterminism: probabilities about the future are conditioned only on the present, but probabilities about the recent past are conditioned on both the present and the distant past.
If the past is a cone of possible pasts, most of which have higher entropy than the present (due to time symmetry), that means your memories are probably fake, because they describe a past with lower entropy. This is known as Loschmidt’s paradox.
One popular solution to the paradox is to assume that the distant past had very low entropy for some reason. If that’s right, that means the past’s nondeterminism is different from the future’s nondeterminism: probabilities about the future are conditioned only on the present, but probabilities about the recent past are conditioned on both the present and the distant past.
I suspect that entropy is more fundamental than time. This is my second post related to Loschmidt’s paradox. The first one is here.
Update: See this comment for a more complete resolution of Loschmidt’s paradox.