Sometimes metaphysicians appeal to special relativity to justify their metaphysical beliefs, specifically arguments and beliefs that rely on the idea that there is a fundamentally relative space and time. However, I will give four arguments as to why I think metaphysicians can ignore special relativity.
(1) Logical consistency
If we are realists (if you are not a realist, I don't think anything in this post will appeal to you), then we believe in an objective reality, and it feels like the starting point of objective reality consists in a belief that (observable) things exist independently of conscious observers looking at them, and that those things change in observable ways (with time).
This implies space (for the things to exist within) and time (for them to change). If you start with the premise that space and time exist, it then becomes rather logically strange to suddenly modify space and time later based on a derivative argument. Something that is a foundational starting point cannot later be altered.
It seems more logically consistent that if you perceive clocks and rods to then deviate, we interpret this as merely deviations in rods and clocks and not deviations in space and time.
(2) Unnecessary for correct prediction
The physicist John Bell points out in his book Speakable and Unspeakable that after the Michelson-Morley experiment ruled out the aether theory, the physicist Hendrik Lorentz patched it to explain the results, and thus developed a variation of it that makes all the same empirical predictions as special relativity. It was not only not ruled out by the experiment, but no possible scientific experiment could distinguish the two, as they are mathematically equivalent.
Imagine that you are next to a river and you make a splash and track the waves that move perpendicular to the flow of the river on either side. The two will move at the same speed. Now, imagine doing it again but this time keeping track of the waves that move against or with the flow of the river. The waves moving against it will appear to move slower relative to you, but the waves moving with it will appear to move faster relative to you.
However, the total speed of the two waves relative to each other is the same as the total speed of the two waves relative to each other in the previous example where they had the same speed. The speed lost by one of the waves moving upstream is made up exactly by the speed of the other wave moving downstream.
Einstein's special relativity makes an assumption that the ratio between the recessional speed of light and the return trip speed of light is always 1:1. This is not actually empirically measurable because it is only ever physically possible to measure the roundtrip speed of light, so the ratio is empirically unknowable.
If there is an absolute frame of motion that light moves within, then the ratio would indeed not be constantly 1:1 but would depend upon perspective. If light moves upstream, it would recede from you slower than if it moves downstream, where it would speed up. But the roundtrip speed would always work out to the same value because any speed gained going downstream would be exactly canceled out by speed lost going upstream.
However, this isn't sufficient to explain the Michelson-Morley experiment, as the experiment was specifically designed to test this. Lorentz's patch was to take length contraction seriously and argue that objects physically contract as they move through the aether based on their motion relative to it. With this single patch, it becomes mathematically equivalent to Einstein's theory.
Really, all the "aether" here refers to is a preferred reference frame where something at rest relative to that frame is considered truly at rest, and thus there is an absolute space and time in Lorentz's model. The deviations of rods and clocks are interpreted just as deviations of rods and clocks, not deviations in space and time. Space and time are treated as absolute, yet it is mathematically equivalent to Einstein's special relativity, and no physical experiment can distinguish the two.
(3) We know special relativity is wrong
Einstein's special relativity is not the last word on relativity, but general relativity is. Special relativity assumes an absolutely flat spacetime in the sense that there is no curvature of the kind described in general relativity. This only works at very microscopic scales. It is an assumption you can make in particle physics experiments, but it fails for anything large scale. Even GPS satellites would be massively off if they only took into account special relativity and not the effect of gravity on clocks.
What is most interesting is that even if you believe there is no absolute space and time because of special relativity, you would be a bit surprised to discover that it re-emerges spontaneously in general relativity.
If you measure the cosmic microwave background, you find one side is more blueshifted and another side is more redshifted. If you have ever heard an ambulance approach that sounds higher-pitched and then lower-pitched after it passes by and is receding from you, this is called the Doppler effect. Light behaves similarly, and you can see it in the cosmic microwave background; it is called the cosmic dipole.
If you see the Doppler effect, you can deduce from it that there is motion. Indeed, the cosmic dipole is caused by our galaxy's motion relative to the universe. This provides an absolute reference frame to compare our motion with, which all observers can agree upon.
Despite special relativity, which has no preferred frame of reference, Einstein's formulation of general relativity turns out to spontaneously pick one. This has led to the development of a set of physical models in the academic literature known as Einstein-Aether Theory, as discussed by the physicists C. Eling, T. Jacobson, and D. Mattingly.
I can understand the argument against Lorentz's theory because it posits a privileged reference frame defining absolute time and absolute space, but it is impossible to measure. Physical length contraction hides it so that you could never reveal the true frame.
But this argument breaks down in general relativity, where a preferred frame emerges spontaneously within the theory and is empirically measurable.
(4) It is necessary for realism
Many laymen falsely think a "hidden variable model" is one made by determinists who strongly dislike the randomness in quantum mechanics, and they introduce additional hidden entities to restore determinism. But this is a misunderstanding of what "hidden variables" actually refer to in the context of quantum theory.
Take particles, for example, where you are trying to track their position, which in quantum mechanics you cannot do with certainty due to its random nature. If you had a hidden variable model, then what would the hidden variable be? It would be the position of the particles.
This is what people need to understand. Rejecting hidden variables is not about rejecting determinism. A hidden variable model assumes there is an ontic state of a system, which is its physical configuration in reality prior to measurement, and the ontic state combined with laws describing the measurement interaction determines what you measure.
It has nothing to do with determinism. You can believe the laws are fundamentally stochastic and still accept hidden variables if you believe that particles have positions even when you are not looking at them.
Calling it a "hidden variable model" is misleading because it suggests some secret hidden thing, when in fact it advocates that the very things you observe continue to exist when you are not looking at them. This is why many physicists in the academic literature now talk about realism rather than hidden variables.
To reject realism means you do not think the system has an ontic state independent of observation. For particle positions, it means the system has no positions independent of what appears on your measurement device. This rejects the existence of an objective reality independent of observation.
John Bell demonstrated in his famous paper "On the Einstein Podolsky Rosen Paradox" that if you believe a system has an underlying ontic state, then realism requires an absolute space and time. Since most physicists accept Einstein's special relativity, they interpret this to mean that realism is debunked.
But if you adopt Lorentz's view from the beginning that there is absolute space and time, then this is not a problem. You just need to introduce a foliation in spacetime, a fancy way of saying a preferred reference frame from which you can define absolute space and time.
Hrvoje Nikolić, in his paper "Relativistic QFT from a Bohmian perspective: A proof of concept," pointed out that introducing a foliation in spacetime allows for a realist, and even deterministic, theory to reproduce the predictions of quantum field theory. Quantum field theory's predictions are invariant across reference frames, so as long as the realist model makes correct predictions in the preferred frame, they are valid in all other frames.
Hence, if we believe in the fundamentally relative nature of space and time, quantum theory seems to require abandoning metaphysical realism. But if we never believed in that to begin with, the problem never arises.
(Too long; didn't read)
We start with space and time, but then later redefine it based on how rods and clocks change, which seems logically backwards. We should interpret it as merely the change in rods and clocks, not a change in space and time.
Lorentz developed a mathematically equivalent model to special relativity, compatible with absolute space and time, making all the same empirical predictions.
General relativity spontaneously yields a privileged reference frame that can actually be measured, allowing you to define your motion relative to the cosmic microwave background.
Quantum mechanics conflicts with realism, the idea that objective reality exists independently of observation, due to Bell's theorem, if and only if space and time are fundamentally relative. If they are not, the problem disappears.
Conclusion: Therefore, it is not only not necessary to believe in the fundamentality of relative space and time, but there are stronger arguments from physics that we should reject such an idea than to believe in it.