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The lifetimes of N and A are different.

There are natural muons (N) that come from atmosphere and there are artificial muons (A) that are producted in CERN lab.

1- Yes, it says something (*) and than it needs an insurance by saying: "But there are competing models that may have much stronger deviations from Lorentz invariance." (at two final paragraph)

(*) For example time contraction (faster tempo) for approaching status (Doppler effect); SR does not claim/project this option.

2- In Lorentz transformations, there are a value of γ for any 'v'.Or I cannot understand this abstract.

1- This idea of two sorts of muons is just plain silly.And it's something you made up with no actual evidence2- Do you think what you are doing is science?.

What is that and how is it observationally any different from time dilation? More importantly, what is the predicted value for this "faster tempo" for a given speed?

The both of them are illusions because of limited/finite velocity of light like space-time illusion.

Quote from: xersanozgen on 25/09/2019 09:32:14The both of them are illusions because of limited/finite velocity of light like space-time illusion.How is a finite speed of light going to make those measurements be an illusion?

If the clock does not move; he see the clock a little delayed (L/c) according to his watch.If the clock move away by the speed v; singals of seconds will come to obsever with more delay (L/c + 1.v/c )If the clock approach to him by speed v; signals of seconds will arrive to obsever earlier than a proper second. (L/c - v/c).

2- Someones will say this for every new idea.

Besides there are mental illusions in SR and GR.

According to my LCS concept, the photons (of the picture of moving clock) are marked on LCS (or outer space). And the observer has also a speed according to LCS. Doppler effect may consider this position but the value Vu must be used instead of v ( Vu is universal speed according to LCS).

In order for you to be correct, your equation would have to give the same answer as relativity (at least to within the measured precision, since the observations so far have supported the accuracy of relativistic equations). So how about working out your equations and giving us some numbers that we can compare against experimental results?

Logical illusion in SR

LCS concept considers limited value of light's velocity. It is useful for cosmological analyses. My example (train-peron) was for explanation the visual illusion about time dilation. And I had neglected universal motion of observer for first stage.

Logical illusion in SRthere is a common-known mental experiment to support time dilation (Fig. 1).When the train does not move, a photon travel between the points B and E ( t: proper time)If the train moves by the speed v, the way of this photon becomes AE, ED...etc because of mirrors. Thus, time dilation is realized and its formula is got by Pythagoras relation.

The "mental delusion" is thinking that time dilation is not real.

Quote from: Bored chemist on 27/09/2019 18:50:50The "mental delusion" is thinking that time dilation is not real.

Because I tell with arguments.

A clock cannot work faster and slower simultaneously.