I have never understood this, it seems backwards to me. We notice that entropy tends to increase over time, and then say that entropy is a fundamental cause of

I have never understood this, it seems backwards to me. We notice that entropy tends to increase over time, and then say that entropy is a fundamental cause of time? The increase of entropy is a statistical certainty given a causal ordering of events, no new fundamental properties required. It is certainly true that the increase of entropy gives a measurable direction to the arrow of time, i.e. the future is where entropy is higher. But I cannot fathom how entropy is anything more than a statistical effect.