Were the muons under observation in a closed system (such as the Large Hadron Collider) or an open system (such as outer space)? Closed system or open system makes all the difference in the world.
There's no such thing as the straight arrow of time and it never should be drawn in its dimension (1-dimensionality) as anything but a curve. I've illustrated that curvature in universe with the traveler traveling faster and faster into time-verse's observable curvature. The time-verse curvature ahead of the traveler the universe traveler is traveling into (future) being counter-clock-wise to the time-verse curvature behind the traveler the universe traveler is traveling into (past). A vortex. The traveler can never travel faster and faster into a straight line of travel if the traveler is intent upon any specific destination. If the traveler knows where the destination is in the unobservable universe, not in the curve, the traveler can shortcut the time-verse curvature, skipping the observable universe, which is pretty much the same thing as wormholing, or warping, space and time.
Particle-wave duality is essentially 3d-2d duality. As Einstein said, "It takes three dimensions to describe a point". Not so many to describe a wave. A traveling light-wave hologram, inexorably recessionary in the time-verse even as it is just as inexorably processionary in the space-verse, is a single-sided 2-dimensional frame-front. If it had even one more side to it, it would fry the universe. And since it has no back side, and non-front / non-back, sides are nothing but 1-dimensional strings, it can't be observed, much less caught, from the rear. It is more or less an open corridor from the rear in which any one passing through would have to look back to observe the time receding into the past behind. Of course I'm talking open system travel, not a particle existing in a closed system such as the LHC, or inside the traveler's ship's drive.
There are observers (real time), then there are imaginary observers (relative time). No one, including no physicist, I've read adds time to an observation concerning any clock to make up for the slowness of the speed of light. Synchronized clocks ten light seconds apart will be ten seconds off time regarding each other. In other words, two imaginary time clocks (relative time clocks) will exist additional to the two real time synchronized clocks. Velocity difference, momentum difference, alluding to the principle of certainty, is equivalent to difference in distance between clocks. There is geometric progression, or geometric regression, when dealing with light and the speed of light. What you observe is not what is on the other end. The math, and observations supposedly backing up the math, says that is not a true statement. It says the observer is always observing the physical entity under observer, which is a lie. There is an absolute difference between real time entity and relative time entity, and to some degree that difference between the real time and relative time can be calculated in the difference between real time clock and light's imaginary clock in hologram. If supposedly synchronized and a ten second difference is observed, ten seconds has passed unobserved for the real time clock, the real time entity, in the unobserved real time universe. Even the sun is eight minutes out front (time-verse-wise in the future) of its observation from Earth. Anything traveling toward the sun from Earth has to make up that eight minute difference, additional to its travel time (that eight minute difference in real [[simultaneous]] time for sun and Earth is one real reason nothing can travel faster than the speed of light, since it is never in any direction of time's verse but past > future). Is any of this in the math or in the pages from physicists? Not that I've read anywhere at all. And I've done a lot of reading regarding light and time and relativity. It means there is a big problem with relativity when physicists describe exactly the same physics for the real time traveler beyond the light as for the traveler observed in light's hologram (the only traveler (the imaginary traveler) any observer will ever observe).