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Alice Law and Time Synchronization
I have been working on Alice Law for many
years. During this period I have reached many new insights about it,
but of course, there are still some important points left in the dark.
Especially in recent times, my studies involving the Ghost and Spring
effects have clarified some issues that I was curious about and that
remained obscure. Understanding where the observer should see the GHOST
is, so to speak, one of the key resolution points in the Special
Relativity of Alice Law. I could have written this article earlier, but
undoubtedly significant deficiencies would have remained.
In systems moving at constant speed
relative to each other, the (c+v)(c−v) mathematics shows without any
doubt right from the beginning that the clocks in those systems will
run simultaneously. For all systems in uniform linear motion, the
UNIVERSAL CLOCK is valid. In other words, all clocks located in SPRINGS
will run synchronously. However, this does not prevent us from
observing or measuring a moving clock as if it were running
differently. And of course, I am not talking about clocks with
mechanical defects. On the contrary, I am referring to clocks that are
perfectly identical and synchronized.
In the Ghost and Spring section, we saw
that what we see is never the springs of objects; instead, we see the
images of the springs—namely their ghosts. We saw in the space
deformation discussion that ghosts are virtual realities open to any
kind of deformation. And in the Ghost and Spring section, we saw that
when we observe moving systems, the positions of the springs and ghosts
appear at different locations. When we look at a moving clock, we
naturally do not see its spring; we see its ghost, and the spring of
the clock is not located where we see its ghost.
In the simultaneity section, we also saw
that events located ahead of our direction of motion are observed
faster than normal, and events behind us are observed slower.
Therefore, it is clear that we will observe this effect when looking at
a moving clock as well.
Therefore, to fully understand and master
the subject of time synchronization, all the knowledge I summarized
here is required. As a footnote, I should state that I have not
included the effects of General Relativity in what I explain here. How
effective General Relativity may be in time synchronization will be
revealed over time as Alice Law continues to be studied.
A second point I must mention is that
what is described here contains no concept of force. It is perfectly
natural that clocks under the influence of different forces run
differently relative to one another. This article is based solely on
clocks moving in uniform linear motion, and I have explained what kinds
of effects we will observe on a clock under the influence of Special
Relativity.
flash
The animation above provides all the
essential information we need to take as a basis regarding clock
synchronization in Special Relativity. Naturally, the programming code
of the animation is based on the (c+v)(c−v) mathematics. You can download the source code here (Flash CS3 ActionScript 3.0).
Let us move the observer and the clock,
or both, and compare the ghost clock with the source clock. The
animation is programmed as follows: the images of the clock start from
the SPRING, travel the distance to the observer, and reach them. The
observer sees the ghost of the clock using the information in the image
packets arriving. If the observer and the clock are moving relative to
each other, we learned earlier that the observer will see the ghost of
the clock at a different spatial position.
In the animation, we see both the ghost
and the spring of the clock, but the clock the observer sees is only
the clock in the ghost. The observer cannot see the spring clock.
Therefore, for the observer, there is essentially only one clock—and
that is the clock in the ghost.
When we compare the clocks in the ghost
and in the spring, we see that both clocks can run at different speeds.
You can also see the values of both clocks from the lower clocks
standing side by side. They were added to the animation to make
comparison easier.
If the observer and the clock are moving closer to each other, the clock in the ghost runs FAST.
If the observer and the clock are moving away from each other, the clock in the ghost runs SLOW.
Now let us ask our question: Do moving clocks run differently or not? We see that we can give both a yes and a no answer.
Yes, they will run differently. We
perceive our surroundings as we see them. If we observe a moving clock
running at a different speed from the clock beside us, can we claim the
opposite? Moving clocks, even if identical, will always appear to run
differently.
No, they do not run differently, because
what we see running differently is only the ghost of the clock. All
kinds of deformation occur only on ghosts. Seeing a clock run fast or
slow is an observation, and the spring clock located at the source and
the clock beside us will always run synchronously. The fact that we
cannot see the spring does not change this. Clocks in uniform linear
motion, regardless of their speed, will run in synchrony.
Both answers are internally consistent
and correct. However, naturally, the second answer is more correct in
the sense that it explains the underlying reason.
Let us briefly summarize the information
in Animation 1. For the observer, only the ghost clock exists. The
observer cannot see the spring clock. There is always a time difference
between the ghost clock and the spring clock. The reason for this time
difference is the travel time of the image leaving the spring until it
reaches the observer. If the observer is moving toward the clock, the
ghost clock will run faster than the spring clock; if the observer is
moving away from the clock, the ghost clock will run slower than the
spring clock.
As a note, I must point out that the
ghost clock running faster than the spring clock does not mean that
over time it will surpass the spring clock. Such a situation can never
occur because when the ghost clock runs fast, the observer is moving
toward the clock. When the observer aligns with the clock, both clocks
will show the same time. In all other situations, the ghost clock is
always slightly behind. We can clearly see how this occurs in the
animation.
Hey, what time is it over there?
In fields such as space exploration,
navigation, communication, and military technologies, it is of great
importance that moving systems operate in harmony with one another. To
achieve this harmony, the first thing to be done is to ensure that the
clocks in reference systems moving relative to each other operate in
synchrony.
Whether we observe the clock in a moving
system with our eyes, or with advanced technological devices such as
radar or telescopes, what we will see and measure is always the clock
located in the Ghost. Since ghost clocks are open to all kinds of
deformation, if used as reference, they will give values far from the
real ones and mislead us. It is clear that a synchronization based on
ghost clocks cannot be performed.
To achieve such synchronization, using
the ghost clocks we see, we must determine the coordinates and the time
shown by the real clock located at the spring, which we can never
directly observe. In other words, we must follow the trace of the ghost
to reach its reality. This can only be done through mathematical
calculation. When we examine the (c+v)(c−v) mathematics, which is the
mathematics of Special Relativity, we can see how this should be done.
Below you will find its explanation.
flash
The graph-animation above shows how we
can determine the spring clock starting from the ghost clock. Since we
are deriving the spring from the ghost, we have to think in reverse
logic. Let me explain the graph to you.
This graph-animation does not represent
an event occurring over a certain period of time; instead, the event
occurs within A SINGLE MOMENT. The slider bar only represents whether
the observer is moving relative to the clock, the direction of the
observer’s motion relative to the clock, and the magnitude of the speed
at that instant. Using the slider, we can choose any value we want.
The observer has observed the clock in
the ghost. We see that there is a difference between the observer’s
clock and the ghost clock. While the observer’s clock shows 8:00:00,
the ghost clock shows a past time, 7:58:00. Naturally, ghost clocks
always show a time in the past.
If we multiply the obtained value (t₁−t₂)
by c, we calculate how far the observer sees the ghost. In other words,
we obtain the distance of the ghost from the observer: d₁ = c · (t₁ − t₂).
During the same duration, since the
spring also moves ±v relative to the observer, the difference between
the positions of the ghost and the spring becomes d₂ = ±v · (t₁ − t₂).
As a result, the positional difference between the ghost clock the observer sees and the real clock at the spring is:
d = (c ± v) · (t₁ − t₂)
I took great pleasure in writing this
work. I think it turned out to be one of my best publications. For me,
this was Alice’s coronation ceremony. If you ask, “Is there royalty in
physics?”, well, apparently there is.
Long live Alice. Long live the Queen.
Announcement:
A new article on this topic was published on May 19, 2011.
Alice Law and Relativity Theory Series – Part 4
What Is Time Dilation and How Does It Occur?
Alice Law is so beautiful and so surprising, isn't it?
I honestly do not know whether I should pity, laugh at, or be angry with the physicists for their stance toward Alice Law.
I hope that they will learn what I explain on my website aliceinphysics.com in a short time.
I consider myself very lucky because I have seen so much in it and learned so much from it.
Han Erim
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This beautiful article happened to be published on the anniversary of our beloved Atatürk's passing.
I remember him with deep respect and gratitude.