Relativistic time dilation usually refers to the kinematic effect of the special theory of relativity, which consists in the fact that all physical processes in a moving body are slower than in a stationary body relative to a stationary (laboratory) frame of reference. Relativistic time dilation is manifested, for example, by observing short-lived elementary particles formed in the upper atmosphere under the influence of cosmic rays and managing to reach the Earth's surface due to it.
A quantitative description of time dilation can be obtained from Lorentz transformations.:
where Δt is the time passing between two events of a moving object from the point of view of a stationary observer, Δt0 is the time passing between two events of a moving object from the point of view of an observer associated with a moving object, v is the relative velocity of the object, c is the speed of light in a vacuum.
The experiments referred to in the proof of the Lorentz formula, in fact, do not prove anything. Indeed, consider, for example, an increase in the lifetime of muons when they are accelerated to the speed of light. It follows from the theory of relativity that processes in a reference frame do not depend on whether it moves uniformly at a certain speed or is at rest. Moreover, due to the invariance of reference frames, observations from either of the two systems moving relative to each other are equivalent. If the Earth is considered a fixed point, then when the muon moves at the speed of light, according to the Special theory of relativity, the processes inside it will slow down and its lifetime will increase, which is supposedly what the experiment shows. But from the point of view of the same Special theory of relativity, if the observer is on the muon, then the Earth is moving towards him at the speed of light and the Earth's lifetime should also slow down. Thus, time dilation will be the same in different systems, i.e. we can assume that it will not exist at all. Consequently, the muon lifetime increases not because it is traveling at near-light speed, but because, for example, with what acceleration the muon is gaining near-light speed. We see that this experiment does not confirm the Lorentz formula in any way. It follows from this that the Lorentz formula does not describe real processes, but is a pure abstraction, or perhaps it is simply not true.
If we move on to heavier macro objects, then when they accelerate to near-light speed, which in itself is fantastic, they will inevitably collapse and it is not possible to verify the correctness of the Lorentz formula. Measuring time using periodic signals (atomic clocks) and their lag in moving objects is not evidence of a slowdown in physical processes in a moving system, but only indicates that the frequency of the oscillatory system is changing.
The same story happens when considering the Havele-Keating experiment. Already looking at the simplified circuit of an atomic clock, it becomes clear that it must be protected from external factors, otherwise the measurement error will be high.
A quantitative description of time dilation can be obtained from Lorentz transformations.:

where Δt is the time passing between two events of a moving object from the point of view of a stationary observer, Δt0 is the time passing between two events of a moving object from the point of view of an observer associated with a moving object, v is the relative velocity of the object, c is the speed of light in a vacuum.
The experiments referred to in the proof of the Lorentz formula, in fact, do not prove anything. Indeed, consider, for example, an increase in the lifetime of muons when they are accelerated to the speed of light. It follows from the theory of relativity that processes in a reference frame do not depend on whether it moves uniformly at a certain speed or is at rest. Moreover, due to the invariance of reference frames, observations from either of the two systems moving relative to each other are equivalent. If the Earth is considered a fixed point, then when the muon moves at the speed of light, according to the Special theory of relativity, the processes inside it will slow down and its lifetime will increase, which is supposedly what the experiment shows. But from the point of view of the same Special theory of relativity, if the observer is on the muon, then the Earth is moving towards him at the speed of light and the Earth's lifetime should also slow down. Thus, time dilation will be the same in different systems, i.e. we can assume that it will not exist at all. Consequently, the muon lifetime increases not because it is traveling at near-light speed, but because, for example, with what acceleration the muon is gaining near-light speed. We see that this experiment does not confirm the Lorentz formula in any way. It follows from this that the Lorentz formula does not describe real processes, but is a pure abstraction, or perhaps it is simply not true.
If we move on to heavier macro objects, then when they accelerate to near-light speed, which in itself is fantastic, they will inevitably collapse and it is not possible to verify the correctness of the Lorentz formula. Measuring time using periodic signals (atomic clocks) and their lag in moving objects is not evidence of a slowdown in physical processes in a moving system, but only indicates that the frequency of the oscillatory system is changing.
The same story happens when considering the Havele-Keating experiment. Already looking at the simplified circuit of an atomic clock, it becomes clear that it must be protected from external factors, otherwise the measurement error will be high.