**TIME DILATION FAKES**.

A
friend challenged my opinion about relativity by quoting time dilation. Here is
my response to him.

I
am not superstitious, but I apply my mind to whatever I read before accepting
or rejecting them. You have resorted to a circular logic here: since relativity
is true, time dilation as really happening for the high energy muons and then
you claim time dilation proves relativity!

But
before I explain what you have read and believed, let me tell you something
about time dilation itself. The so-called experimental proof by atomic clocks
have failed to prove time dilation. Hence a fake report was circulated by
forging figures to “prove” time dilation. The readings are still available in
the Naval Archives and you can verify for yourself that the initial reports of
the readings were changed in the final report. I challenge you to prove me
wrong.

The
so-called time dilation in GPS systems are not at all based on time dilation of
SR. It is due to refraction. Light is known to slow down or speed up depending
upon the density of the medium through which it travels. The atmosphere has
different layers with varying density. Thus, light slows down while coming
through such layers. Thus, it does not prove time dilation.

High
energy muons or Cosmic ray muons are produced at about 16000 meters above the
ground as cosmic radiation from outer space collides with the atoms
of the Earth’s atmosphere. Apparently scientists have observed that significant
numbers of these cosmic ray muons (which are produced in the upper crust
of the Earth’s atmosphere) survive to reach to the ground level. In other
words a significant proportion of cosmic muons are able to travel a distance of
16000 meters in their life span. But scientists from their experiments on
laboratory muons, found that muons live for only about 2 microseconds and
travel at a speed of 0.9c. So according to them, a muon can only travel
about 600 meters in its life time. Then how could the cosmic ray muons,
produced in the upper crust of the earth’s atmosphere, are able to travel a
distance of 16000 meters and reach the ground? The only possible explanation
for this scenario according to the superstitious is time dilation and length
contraction.

But
here Scientists have only noted the life span and speed of low
energy muons produced in particle accelerators. How can the same be
considered true for the high energy cosmic ray muons? For example, imagine that
we have seen a boy traveling a distance of 100 meters in 10 seconds. We
calculate his speed as 10 meters/sec. Now if we see his twin brother traveling
200 meters in 10 seconds, we would not say that the second boy has experienced
time dilation or space contraction. Rather we would simply say that the second
boy has run faster than the first boy. Or else we have to suspect that our
measurement of time was not correct in one or the both scenarios. And same must
be the case with the muons.

The
probability that a muon decays in some small time interval dt is λdt, where λ
is a constant “decay rate”. The "lifetime" τ of a muon is the
reciprocal of λ, τ = 1/λ. This simple exponential relation is typical of
radioactive decay. You do not have a single clump of muons whose surviving
number can be easily measure. Instead, you detect muon decays from muons that
enter your detector at essentially random times - typically one at a time. Their
decay time distribution has a simple exponential form. Decay time distribution
D(t) means that the time-dependent probability that a muon decays in the time
interval between t and t + dt is given by D(t)dt. Because the muon decay time
is exponentially distributed, it does not matter that the muons whose decays we
detect are not born in the detector but somewhere above us in the atmosphere.
An exponential function always “looks the same” in the sense that whether you
examine it at early times or late times, its e-folding time is the same.

Muons
are stopped in a large block of scintillator, where they subsequently decay
into an electron/positron and two neutrinos. A short light pulse is produced by
the stopping muon which is detected and amplified by a photomultiplier tube.
When the muon decays a second pulse is produced by the emitted electron or
positron. The signals from the photo multiplier are fed into an electronic
circuit which determines the time delay between the two pulses.

Under
certain conditions (gravity, energy state, environment etc.) why not a
muon travel faster or live longer before it decays into the smaller
particles. We know that electrons can travel at different velocities. Then
why do scientists insist that all muons travel at the same speed, and introduce
absurd notions like time dilation/ space contraction when they see cosmic muons
traveling a much longer distance than the laboratory muons in their lifetime? Why
not the muons produced in the laboratory experience the same time dilation and
length contraction if their speed was same as that of the cosmic ray muons? And
if they did, why have not we seen the laboratory muons travel the same 16000
meters as their cosmic counter parts? And if they travelled 16000 meters
distance in their life span of 2 microseconds, what would be their speed?