This is going to be long, but bear with me. I’m going to try (and probably fail) to explain an unconventional way of looking at the universe, from which its beginning can be explained fairly simply in a materialist context. Some of these ideas are from Huw Price’s Time’s Arrow and Archimedes’ Point, a book about the nature of time that I highly recommend.
It is not truly a law of physics that entropy must necessarily increase over time. As far as we know (with one known exception involving certain mesons) all of the fundamental interactions of the universe are temporally asymmetric. This may at first seem inconsistent with the obvious temporal asymmetry of thermodynamics, and I will attempt to explain why this is not so.
Consider the notion of cause and effect. It is known that the laws of mechanics are completely asymmetric in time. In a mechanical interaction between several particles, it is as easy to determine what the initial conditions were given the final conditions as it is to determine what the final conditions will be given the initial conditions. If one does not define the cause as the first in a pair of linked events, as some philosophers do, then there is no objective reason that follows from the laws themselves to claim that the initial conditions caused the final in a way that the final did not cause the initial.
This state of affairs does not exist in interactions involving thermodynamics, or so it seems. The initial and final states of a thermodynamic system contain objectively different bulk properties–In our experience, the final state always has greater entropy than the initial. However, thermodynamics is merely a statistical description that applies to large numbers of mechanical interactions between the components of complex systems. It seems unreasonable that an asymmetry should exist in the aggregate when it does not exist in any individual part.
The most popular explanation among cosmologists for the fact that entropy increases unidirectionally in time, given the fact that the laws of physics contain no preferred time direction, is that the universe began in a state of enormously, extraordinarily low entropy. I can vaguely recall one calculation that immediately following the big bang the universe was perfectly smooth to about one part in 10[sup]10[sup]70[/sup][/sup]. The miniscule degree of lumpiness remaining is what allowed galaxies and stars to form through gravitational clumping. If it had been significantly greater, all the mass in the universe would have collected in black holes almost immediately. Because most states are, by definition, high entropy, the vast majority of possible futures for the universe at that early smooth stage would then have evolved onward from that point with continually increasing entropy.
Consider a simple apparatus in which a chamber full of gas and a chamber in vacuum are connected by a sliding door. This system is isolated from the environment. Assume the gas particles are large enough that quantum indeterminacy can be ignored (I do not think this changes things since the Schrödinger equation itself is temporally asymmetric, but it simplifies matters). When the door is opened, the gas will quickly expand to fill the chamber with vacuum, which results in a greater entropy for the system. Now, consider a state an hour after the door has been opened, when gas particles evenly fill both chambers and move with apparently random velocities. Now, consider another set of two chambers which at that moment is exactly identical except that the velocity of every gas particle is reversed. Entropy in a gas is a bulk property of state, so both sets of chambers will have identical entropy. If time continues forwards, then the particles in this second set of chambers will reverse all the collisions in the first set of chambers. One hour later, all the particles will end up in a single chamber, and the door can be shut, locking in the system at a lower entropy than it began.
This demonstrates that the second law of thermodynamics is not a true law of nature, but a statistical principle that can be violated in situations that do not require physical impossibilities. It is true that the initial arrangement of gas particles is extremely unlikely in the second system in the sense that a mathematically random arrangement of gas particles will almost certainly not show a dramatic reduction in entropy into the future. The final arrangement of gas particles in the first system is also extremely unlikely in that a mathematically random arrangement of gas particles will almost certainly not show a dramatic reduction of entropy into the past. In this case, this unlikeliness can be explained by the astoundingly unlikely initial conditions of the universe. All later system that has evolved from this initial state retain most of this unlikeliness, but it is continuously dissipated through random interactions between particles that allow them to take on more likely states. This is the substance of the second law of thermodynamics.
The point of this is that an asymmetric notion of cause and effect does not have any natural existence in fundamental physical law, but is rather a consequence at the human scale of the peculiar initial conditions of the universe. If the universe were constrained to end in a state of high entropy rather than begin with one, we would see entropy increase into the past rather than the future. We would remember the future rather than the past, and we would see our present actions as having consequences in the past rather than the future. In fact, we would call the future “the past” and the past “the future”. Surely in that case we would not believe that the end of the universe required a supernatural explanation. Such a state of affairs could conceivably exist even in distant regions of our own universe. The observable universe seems homogeneous overall, but the theory of inflation tells us that all we can see of the universe might be an infinitesimal part of a vastly larger whole. On such a grand scale there is no reason to believe the universe could not contain regions which began in initial states vastly different than our own.
In order to explain the existence of time, we must think from a perspective in which the concept of time does not exist. Imagine the universe as a god might see it: all reality laid out before you as a finished whole; time simply a dimension akin to space, both of which separate events. From such a vantage point, the universe exists in an eternal moment. I don’t believe any being can truly see the world from that perspective, but it gives a hint towards the type of explanation that is required.
The universe cannot have a prior cause, because nothing prior to it can exist. I propose instead to look for a cause in the present. Imagine today’s universe from a time-reversed perspective. One sees galaxies moving towards one another and the density of space increasing. One concludes that if present trends continue, the universe will end in a singularity in which space and time will cease to exist. In causative terms, the inward motion of matter will cause the universe to end. From an atemporal viewpoint, one can see that this reversed accounting of events cannot be objectively preferable to our own. From our perspective, one can say that the present and future outward motion of galaxies caused the universe to begin in the past. The future explains the past and the past explains the future. The universe is a self-contained whole that justifies its own existence.