Time dilation phenomenon for clocks on the move in visonics. The result is the same as clocks at rest since the speed of light is not affected by the motion of the source.

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VISONIC TIME DILATION – OBJECT IN MOTION
Cosmic Adventure 5.8

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Though the situation is different
from that of the object at rest,
the results are the same due to
the constancy of light speed.
Same as Clock at Rest

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𝒄 independent of Source
The speed of light is a constant
in the universe. This magnitude
is independent of the emitting
source or the reflecting object.
This property is obvious in the
following example.
𝑣 = 100 km/sec
𝑣 = 100,000 km/sec
𝑣 = 0 km/sec
𝑐
𝑐
𝑐

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A B
Real clock A
Actual time Actual time
Clock Image Reading on Leaving Clock B
To start with, we have two clocks that are well synchronized and
are placed in the same spot to start with. Both clocks register the
same time 𝑡 = 0.
Real clock B

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A B
Image of B
𝑐
Real clock A Real clock B
Actual time Actual timeFixed time
Clock Image Reading on Leaving Clock B
As clock B leaves, it still keep on sending its images back to A. There is an
image at every instant and we choose only one of them for demonstration
purposes. Here we choose one sent at time = ∆𝑡 1. The clocks are still
ticking normally, but the image only shows a fixed time of the moment.
𝑣
𝑥1 = 𝑣∆𝑡 1
∆𝑡 1

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Light Speed Constant
As discussed, no matter how
fast clock B will move, the
speed of the image emitted
will not be affected. It is 𝑐
all the time.
So this situation is the same
when clock B is stationary in.
Both being stationary or
moving will have no affect
the speed of light.
Speed of image of B
𝑐
Speed of real clock B
𝑣
The speed of clock B does not
have any effect on the speed of
its light image which is always c

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𝑣
A
Real clock A Real clock B
Situation 1
At time ∆t = 0, both clocks are at the starting position A. Clock A is at rest
while clock be is moving at velocity 𝑣.
Distance 𝑥 = 0
Time ∆t = 0

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𝑣
A B
Real clock A Real clock B
Situation 2
After time = ∆𝑡1, clock B has travelled to B, covering a distance 𝑥1 = 𝑣∆𝑡1.
Both clocks now register the same time, that is, ∆𝑡1.
𝑥1 = 𝑣∆𝑡1
∆𝑡 1

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𝑣
A B
Real clock A Real clock BImage
𝑐
Time of image B
Reading ∆𝑡1
Situation 3 Image Emission
At this moment of time = ∆𝑡1, clock B sends an image (registering time
∆𝑡1) towards clock A, while keeps on traveling away from B.
Clock B goes on

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𝑣
A B C
Real clock A Real clock BImage
𝑐
Situation 4
This image takes time ∆𝑡2 to reach A at speed c. At the same time clock B
has reached C with BC= ∆𝑥1= 𝑣∆𝑡2. The time is then ∆𝑡3 = ∆𝑡1 + ∆𝑡2
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2 ∆𝑥1= 𝑣∆𝑡2

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𝑣
A B𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2
Image
C
𝑐
Real clock A Real clock B
Actual time
∆𝑡3= ∆𝑡1 + ∆𝑡2
Apparent time
= ∆𝑡1
Situation 5
Actual time
∆𝑡3= ∆𝑡1 + ∆𝑡2
∆𝑥 = 𝑣∆𝑡2
= 𝑣∆𝑡1 × 𝑣/𝑐

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𝑣
A BApparent position
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2
Image
C
𝑐
Real clock A Real clock B
Actual time
∆𝑡3= ∆𝑡1 + ∆𝑡2
Apparent time
= ∆𝑡1
Final Situation 6
Actual time
∆𝑡3= ∆𝑡1 + ∆𝑡2
∆𝑥 = 𝑣∆𝑡2
= 𝑣∆𝑡1 × 𝑣/𝑐
Actual position
𝑥3 = 𝑣∆𝑡1 + 𝑣∆𝑡2

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Observation 1 – Actual Position & Time
The actual position of clock B is :
𝑥3 = 𝑥1 + ∆𝑥
= 𝑣∆𝑡1 + 𝑣∆𝑡1 𝑣/𝑐
= 1 +
𝑣
𝑐
𝑣∆𝑡1
= 1 +
𝑣
𝑐
𝑥1
The actual time of B is (same as A):
∆𝑡3 = ∆𝑡1 + ∆𝑡2
= 1 +
𝑣
𝑐
∆𝑡1
Real clock A
𝑣
Real clock B

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Observation 2 – Apparent Position & Time
The apparent position of clock B is:
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2
The clock reading of image B is ∆𝑡1.
So the apparent time is:
∆𝑡1
Image of Clock B
𝑐

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Ration of the two Times
𝐴𝑝𝑝𝑎𝑟𝑒𝑛𝑡 𝑇𝑖𝑚𝑒
𝐴𝑐𝑡𝑢𝑎𝑙 𝑇𝑖𝑚𝑒
=
∆𝑡1
1 +
𝑣
𝑐
∆𝑡1
=
1
1 +
𝑣
𝑐
𝑐
Apparent [Image] time
= ∆𝑡1
Actual [Clock A & B] time
= 1 +
𝑣
𝑐
∆𝑡1
𝑣

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Light Speed Constancy
This result is the same as the
case where the object is at
rest. It simply demonstrates
the fact the speed of light is
not affected by the motion
of its sources.
𝑣 = 0 km/sec
𝑐
𝑣 = 1000 km/sec
𝑐

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Different between
Relativity & Visonics
This phenomenon exhibits an apparent
dilation of time. So it is called ‘time
dilation’ in the theory of Special
Relativity.
But there is a difference.
In Relativity, it is a real event. Time does
slows down and leads to absurd events
such as ‘twin paradox’.
In visonics, this is an optical
phenomenon, just like looking at clocks
on distant stars in classical physics.

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Distance Change
Though there is no difference in
the change of time between the
object being at rest or in motion,
a change in the position of the
object is involved. We have to
get the change in length to see
the difference.

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THE PERCEPTION
OF A LONG IMAGE
AT REST
To be continued on
Cosmic Adventure 5.9