Greeting to the community.
Relativity is totally wrong both in math and model. Let me share some thought.
There are a lot of discussions about relativistic time dilation. Some of them blame math, some blame model, but none of such discussions mentioned the huge difference between reality and theory of relativity.
Such difference lays in the way how relativistic theory treats time. There is no time in classical physics, by the word “time” we always mean “time interval”. The velocity is distance over time where time is simply measured from the beginning of our journey, it is always an interval.
Relativity gives us completely different concept – absolute time. We could look at Einstein’s work where “time is the position of the hands of watch”.
Relativistic time is absolute; it is fourth coordinate in space-time continuum and it become absolutely clear by taking a look at Lorentz transformation and clock synchronization.
Using absolute time concept, we could take a fresh look at famous twin paradox. Here we need to refresh our memory with Lorentz transformation. Time in moving rocket equals gamma-factor by time in stationary frame. So, the clock in moving system will show “bigger” time.
Look at twin paradox below:
1. At the beginning of the journey both Earth’s and rocket’s clocks show the same time.
2. At mid distance to the destination the rocket’s clock shows the maximum time value.
3. At the approach of the destination rocket stops and clock shows the same time value as on Earth.
Please note that the hands of the clock behave exactly in accordance with the theory of special relativity, it is just the concept of time was changed, it is fourth dimension after all.
The most interesting part of our journey is approaching the destination with speed reduction (deceleration).
As we can see, the hands of rocket’s clock are in the same position as the hands of Earth’s clock. No surprises, if you put zero speed into Lorentz transformation formula when rocket stops at distant galaxy, you will get exactly same time value.
For our surprise, the hands of the moving clock going backwards during deceleration. We can get same result very easily, just by looking at Lorentz transformation formula. during next iteration time value will be calculated with smaller gamma-factor and will be less compared to previous value of time.
Well, the time on rocket is not going back under all conditions, we should add normal flow of the time on top of that. Backward feature could only be observed at bigger velocities like v=0.7c or bigger. It is quite easy to put Lorentz transformation formula in excel and see the result of deceleration
Causality principle is not working in special relativity during deceleration! Time cannot flow backward!
Time dilation is not the change of time flow rate on moving ship, it is how time flow on the moving reference frame LOOKS for stationary observer. This became clearer by taking a closer look at Einstein’s thought experiment in his “On the Electrodynamics of Moving Bodies”.