One of the most valuable tools for understanding the nature and structure of temporal reality is physics, i.e. the empirical study of the material universe and how its component parts interact. Time can be empirically investigated from several angles – from thermodynamics to quantum mechanics – and this article is only able to provide the briefest of snapshots. Nonetheless, a glance towards the empirical sciences reveals that understanding the nature of time may be more challenging than the previous metaphysical discourse indicated.
2.2.1 Special relativity
The Special Theory of Relativity, introduced by Albert Einstein in 1905, catalysed a revolution in our understanding of space and time (Einstein 1905; 2010, originally published 1920). Newtonian Mechanics, the scientific paradigm that previously dominated this intellectual space, held time to be absolute and wholly independent of objects or observers. In Philosophiae Naturalis Principia Mathematica, Newton argued that ‘absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external, and by another name is called duration’ (Newton 1934: 6–12, Scholium to Definition viii). Thus Newton was committed to the objective passage of time and the existence of an absolute present moment that structures that passage.
Special Relativity profoundly violated these postulates, sending shockwaves reverberating throughout the scientific community. Rather than space and time being absolute, Special Relativity (following Minkowski’s geometric formulation) indicated that each are distinct dimensions of four-dimensional Minkowski space-time, and one’s measurement of length and duration is, to some extent, observer dependent. In a paper published in 1908, Minkowski made his now famous proclamation that, as a result of Special Relativity, ‘space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union between the two will preserve an independent reality’ (Minkowski 1908). What this means in practice is that observers travelling at different speeds will disagree on the duration and distance between the same two events. This has been empirically confirmed many times over since Einstein introduced it in 1905 (Brown 2005: 82–87). Importantly, within Special Relativity there are no privileged observers, meaning no single observational perspective can take precedence over any other. What this leads to is the so-called relativity of simultaneity, namely the claim that objective simultaneity relations cannot be substantiated within the special theory. Because there will be variation in distance and duration between different frames of reference, and there is no observer-independent way to choose between these, the notion of an absolute simultaneity relation becomes untenable. That appears to lead to the conclusion that the special theory is incompatible with the existence of a universal present moment.
There is some dispute over both the correct interpretation of Special Relativity and its domain of application, however, and several interpretations of the content of the theory are available. The most widely accepted, at least within physics, is generally referred to as the space-time interpretation (or the Einstein-Minkowski interpretation). The space-time interpretation holds that Special Relativity ought to be taken at face value, and that we ought not to postulate the existence of further structures or processes than those contained within the bare bones of the theory. As such, the space-time interpretation is founded upon operationalist principles, a point of contention amongst critics.
The Operationalist defines scientific concepts in terms of the operations used to measure them, i.e. time is equivalent to whatever is measured by clocks (Einstein 2010: 22). In the context of Special Relativity, the Operationalist would state that if we are unable to measure absolute simultaneity then no such relation exists. As such, the space-time interpretation is committed to the following three claims:
- Space and time are distinct dimensions of the more fundamental entity space-time.
- One’s measurement of duration and length is determined by one’s frame of reference.
- The reason absolute simultaneity relations cannot be reconciled with Special Relativity is because they do not exist.
This must then be applied to the categories introduced in section 2. For an A-theory to be the correct description of time, there must be an objective, changing, universal now at which point potential future events come into being when they become present. Such a present moment must be sharp, clearly defined, and unambiguously separate the (unreal) future from the past. Although the Moving Spotlight view is committed to the existence of the future, it is the A-theory with the most structural problems and thus has the fewest proponents. A profound problem for both Presentism and the Growing Block is raised by Special Relativity’s denial of absolute simultaneity relations (and thus, an absolute present moment). The relativity of simultaneity is problematic for the existence of a universal now because, according to Special Relativity, some events (specifically, spacelike separated events) are future in one reference frame and present in another. This generates the contradictory conclusion that future events both exist and do not exist.
The first proponent of such an argument was the philosopher Hilary Putnam (1967: 242). Putnam pointed out that Presentism denies that the future exists, but Special Relativity shows that certain events in my future (i.e. events the Presentist says are unreal) are in your present (i.e. events the Presentists says are real). Thus, Presentism plus Special Relativity leads to the contradictory conclusion that some events both exist and do not exist. As contradictions cannot be part of reality, the space-time interpretation is incompatible with any A-theory of time that is committed to the unreality of the future. The Moving Spotlight is also ruled out due to its commitment to a universal present moment, i.e. an objective ‘now’, which is incompatible with the relativity of simultaneity. The space-time interpretation instead supports a four-dimensional space-time ontology which unites the three dimensions of space with the one dimension of time, namely a B-theory or C-theory.
A prominent alternative (though still a minority view in physics and metaphysics) is the neo-Lorentzian interpretation devised and defended by William Lane Craig. Craig is a presentist who has, for partly philosophical but primarily theological reasons, spent much of his career defending the A-theory of time against Special Relativity, the philosophy of temporal language, and McTaggart’s argument against the A-theory. His argument runs as follows:
- God exists.
- The A-theory of time is correct.
- If an A-theory of time is correct, there are tensed facts and temporal becoming.
- If God exists and there are tensed facts and temporal becoming, then God knows tensed facts and is the cause of things’ coming to be.
- If God knows tensed facts and is the cause of things’ coming to be, then God is temporal.
- There are tensed facts and temporal becoming (2, 3).
- God exists and there are temporal facts and temporal becoming (1, 6).
- God knows tensed facts and is the cause of things’ coming to be (4, 7).
- God is temporal.
- If God is temporal, then a privileged reference frame exists.
- If a privileged reference frame exists, then a Lorentzian interpretation of SR is correct.
- A privileged frame exists (9, 10).
- A Lorentzian interpretation of SR is correct (11, 12) (Craig 2001: 165).
One can identify three primary claims that underly this argument. First, Craig is committed to the existence of some form of background structure which functions as a preferred frame of reference. Against this preferred frame of reference, the objective passage of time can be measured, and absolute simultaneity relations can be recovered within physics. Craig suggests a range of possibilities (2001: 165). Second, he invokes the distinction between metaphysical, divine time on the one hand, and relative, physical time on the other, reminiscent of a similar distinction made by Newton. In contrast to the space-time interpretation, Craig interprets time dilation and length contraction as consequences of relative, measured time and space and not absolute metaphysical time.
Rejecting Operationalism, Craig argues that our inability to empirically measure absolute time is no more than a consequence of our methodological limitations. An omniscient God would know which events are happening now according to the standard set by absolute metaphysical time, even if we creatures are unable to access this information. Craig therefore takes Special Relativity as describing physical processes only, leaving the metaphysical time (grounded in divine time) untouched. For this reason, he is still able to endorse Presentism. The third and final claim is theism. Craig argues that, for theological reasons which shall be discussed in section 4, God must be temporal, and a temporal God only makes sense in an A-theoretic universe. His position is often referred to as a 3+1 space-time ontology, as it is committed to a clear distinction between three-dimensional space and one-dimensional time. Which of these is preferable will depend on one’s prior commitments, one’s theological position, and the extent to which one believes theology ought to weigh in on matters of scientific interpretation. For a comprehensive assessment of the scientific viability of neo-Lorentzian relativity, see a review article by Yuri Balashov and Michel Janssen (2003). For another argument that presentism is compatible with Special Relativity, see Zimmerman 2011. A third option, the so-called inhomogeneous flowing time interpretation of Special Relativity, is offered by Robert John Russell (2012; 2022).
2.2.2 General relativity
Special Relativity is not the final word on matters spatial and temporal, however. In 1915 Einstein published his General Theory of Relativity. The general theory is less straightforward in its support of one temporal ontology over another. In contrast to the Newtonian understanding of gravity as a force acting between massive bodies, General Relativity reconceptualized gravity as the warping of four-dimensional space-time by massive bodies. A common metaphor for understanding what this means is that of a sheet held taut at each corner with a bowling ball at the centre. The mass of the bowling ball will stretch the sheet around the curvature of its surface, and the heavier the ball the greater this warping will be. If a smaller ball, say, a tennis ball, were rolled past it, its trajectory would be affected by the curvature of the sheet. The tennis ball may even begin spinning around the bowling ball in a facsimile of orbital motion. The effect on the two-dimensional surface of the sheet is not unlike the way celestial bodies like stars and planets warp the four-dimensional space-time in which they dwell.
The warping of space-time affects more than the motion of celestial bodies, it also affects observer’s measurements of temporal duration. This is because light always takes the shortest path between two points. In flat space-time, this is a straight line. If space-time is curved, however, then light will be travelling a greater distance along the curvature of space-time than it will where space-time is flatter. A ‘straight line’ in curved space-time is known as a geodesic. In General Relativity, light follows space-time geodesics, and the greater the curvature of space-time the greater the distance light must travel. Regardless of one’s observational perspective, one must always measure the speed of light as c, whether one is in a region where space-time is curved or flatter. Because speed = distance ÷ time, the fixity of the speed of light means that observers will disagree on distance or duration if they are in different locations relative to a given massive body. In other words, an astronaut could be on a massive planet for an hour in their time, but on returning to their spaceship much further out in the gravitational field they could find that their colleagues who remained on the ship had measured ten years between the astronaut leaving and returning.
Despite these divergences in duration between observational perspectives, some A-theorists have argued that their case is strengthened when moving on from Special Relativity to General Relativity. Both Richard Swinburne and William Lane Craig have argued that certain solutions of Einstein’s field equations, each of which corresponds to a possible world, can substantiate what they have called ‘cosmic time’. These solutions are known as the Friedman-Lemaître-Robertson-Walker (henceforth FLRW) cosmological solutions, and each of them maps the structure of a possible universe. FLRW universes possess the following properties: (1) homogeneity (the universe is the same at every point), (2) isotropy (there is no preferred direction in the universe), (3) expansion (the overall size of the universe evolves dynamically). Because of these symmetries, one can foliate space-time in such a way that globally extended instants, i.e. universal nows, emerge. Cosmic time acts as a universal measure of how much time has elapsed since the beginning of the universe, and thus, according to its proponents, can once again recover the notion of an absolute present moment within physics. This is because cosmic time gives an observer-independent and objective way of measuring the passage of time (Swinburne 2008: 224).
It is possible to critique this approach from a number of different angles, each of which is explored in greater detail by Read and Qureshi-Hurst (2021). One possible route is to argue that focusing on cosmological solutions of General Relativity changes the theory under consideration, abandoning the appropriate object of focus. Another option is to argue that FLRW solutions depict universes with perfect homogeneity, isotropy, and expansion, meaning that they are not descriptions of the actual world which does not exhibit these perfect symmetries. We should, according to this critique, only care about whether the A-theory is compatible with our actual world, not some abstract idealization. A third response is to argue that using cosmic simultaneity as a vehicle for grounding an objective past/present/future distinction is inappropriately motivated. A primary motivation for endorsing an A-theory is to recover our experience of temporal passage. Yet our experience is shaped by local time, not cosmic time. In fact, the latter is radically disconnected from our experience, so it cannot establish the kind of temporal passage the A-theorist requires. Finally, one might follow Gödel in presenting a modal argument to the effect that whether a universe manifests primitive tensed properties cannot be a contingent affair. Since (for technical reasons) it would have to be a contingent affair in General Relativity, there can exist no such objective tensed properties. Despite these criticisms, the A-theory invariably fares better in General Relativity than in Special Relativity. Whether it does enough to save the A-theory remains an open question.
2.2.3 Quantum mechanics
The two most successful physical theories are, at present, incompatible. General Relativity, a theory concerning gravity, describes the large-scale behaviour of cosmic objects and their interaction with curved space-time. Quantum mechanics, on the other hand, is concerned with the smallest scale of physical reality: subatomic particles. Whilst General Relativity describes space-time as continuous, namely infinitely divisible, quantum mechanics introduces granularity into myriad properties at the subatomic level, such as energy and length. These properties can only have certain values, functions of Plank’s constant, meaning that there is a minimum value below which they cannot go. This may turn out to be the case for space-time (and thus for the temporal dimension) if a Quantum Theory of Gravity is ever developed. At present, physicists do not agree about whether space and time are continuous or particulate.
Absolute simultaneity plays an important role in quantum mechanics despite it being incompatible with Special Relativity (and, perhaps, General Relativity as well). There are many interpretations of non-relativistic quantum mechanics, but in each an absolute space-time structure is taken for granted and Newtonian-style absolute time is used to mark the evolution of a quantum system. For example, interactions between entangled quantum particles great distances apart are faster than the speed of light, seeming to require instantaneous (thus absolutely simultaneous) spooky-action-at-a-distance of the kind forbidden by relativity.
All this goes to show that whilst physics can help illuminate the path toward answers about the nature of temporal reality, it does not hold all the answers. Whilst physicists’ empirical findings cannot be ignored in both the practices of temporal metaphysics and God and time discourse, nor can they be the sole participant in the discussion. Now that both objects of study, namely ‘God’ and ‘time’, have been set out, we are able to turn to their conjunction.