The Arrow of Time: Why Does Time Flow Forward?



Updated: 2013/9/28
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Published: 2004/12/26

Have you ever wondered why time seems to flow in only one direction? The apparent irreversibility of time has puzzled physicists for a long time. In this article, I explore that mystery.

Many-Worlds Interpretation and the Arrow of Time

The Everyday Arrow of Time

Our everyday world is full of irreversible processes.

For example, imagine a glass of water being knocked off a table. The glass shatters, and the water spills onto the floor. We never see the reverse process: shards of glass reassembling into a cup while spilled water flows back inside.

This everyday distinction between past and future seems obvious. Yet when we look at time from the standpoint of fundamental physics, the basic laws themselves do not usually distinguish between past and future.

The Physical Arrow of Time

At a fundamental level, many physical laws are symmetric with respect to time. They do not intrinsically prefer the future over the past.

For example, consider two billiard balls that approach each other, collide, and then separate. If we recorded the event and played the video backward, the reversed motion would still be consistent with the laws of physics. In this sense, many physical theories are time-reversal symmetric.

Time-reversal violation has been observed in certain particle-physics processes, but such effects are far too small and specialized to explain the macroscopic arrow of time we experience in daily life.

The Thermodynamic Arrow of Time

Thermodynamics introduces the second law: entropy, often described as a measure of disorder, tends to increase over time. Many physicists regard this increase in entropy as the origin of time's asymmetry. Even so, the deeper reason why entropy increases remains a subtle and important question.

The World as a Movie Reel

Why does time flow only toward the future? One simple way to imagine the universe is as a movie reel, with the Big Bang at one end and the future extending in the other direction. But this raises another question: why is the reel asymmetric in the first place?

The Arrow of Time in the Many-Worlds Interpretation

Here I propose one way the many-worlds interpretation might account for the arrow of time.

In this view, worlds at different moments form part of a larger branching structure. Each world does not trace a single fixed history like a frame on a movie reel. Instead, histories branch outward like a web. There is no absolute time label attached to each world; what matters are the relationships between worlds.

For example, consider all worlds whose internal clocks read time t. From each of those worlds, many possible successor worlds can branch out. Most of those successors may have clocks showing t+1, while a much smaller number may have clocks showing t-1.

We perceive time as moving forward because the overwhelming majority of branches lead to worlds whose clocks have advanced. In this picture, the arrow of time emerges because there are far more high-entropy branches than low-entropy branches, making transitions toward higher entropy overwhelmingly more likely.

Many-Worlds Interpretation and the Arrow of Time Diagram

If a branch ever reached a state of maximum entropy, however, we might no longer observe time as progressing. When entropy is already maximal, time may lose its practical meaning, and internal clocks would no longer function reliably.


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