Cosmic adventure 5.4 Moving Objects in Visonics

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OBJECTS IN MOTION IN VISONICS
Cosmic Adventure 5.4

Two Observers
The relativity theory uses more than two observers so that a transformation
of the coordinate systems can take place.
0’ P0’’
Systems 0’ Systems 0’’

A Single Coordinate System
The visonic theory does not involve coordinate system changes because it
is a direct study of the effects of light on observed objects. So a single
system is employed. It involves only an observer and an object. This object
is preferably a clock that can move around in case motion is involved.
0 P

Observer and Runaway Object
To start with, we have two atomic clock perfectly and locally synchronized.
One is used by the observer and the other acts as the runaway object.
Clock A
[Observer]
Clock B
[Object]

𝑥 = 0 𝑡 = 0 𝑠𝑒𝑐
Observer and object are staying at the
same spot O to start with at time 𝑡 = 0.
Actually, we can start off anywhere, from
𝑠 = 0 to 𝑠 = ∞.
Observer
Object
Starting Point

Synchronized Clocks
Clock A stays with the observer and clock B begins to move away at a
velocity of 𝑣 at time 𝑡 = 0. It is expected that both clock keeps on telling
time at the same rate wherever even when they are separated. The
physical laws are the same for all inertial systems.
𝑣

Clock Images
As clock B move along, it keeps on sending a stream of images back to the
observer. What the observer sees is therefore the image of the clock, not
the actual clock itself. We select only one or two images for our discussion.
𝑣𝑐
Image carried by light

𝑣
So there are three objects involved. The two clocks are real material
bodies; the light image are made up of photons. All these bodies are
‘physically real’. No abstract mathematical bodies are present.
3. Image carried
by light
1. Clock A 2. Clock B
𝑐
Real Material body Real material bodyImage composed of photons

The distance covered by clock B after a period of ∆𝑡1 is:
𝑠 = 𝑣∆𝑡1. For example, we assume ∆𝑡1to be three seconds.
We take this moment of time as the starting point of our
investigation.
𝑠 = 𝑣∆𝑡1
𝑣
❶

𝑣
Clock A
At this moment ∆𝑡1, clock B sends an image of clock B to A
at velocity 𝑐 while keeps on moving to the right at velocity 𝑣.
𝑠 = 𝑣∆𝑡1
Object Clock B
at time = ∆𝑡1
❷
Image of B carried
by light at speed c
Clock B carried on
moving to the right
Clock A remains
stationary
𝑐

𝑣
A B
By the time the image reaches A after time 𝑡2, clock B would
have moved to C within time 𝑡2. Let’s say it takes light one
second to reach A. Both the real clock would have advanced
by 𝑡2 as well.
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2
❸
Image
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real clock A Real clock B
𝑥3 Actual position of B

𝑣
A B
𝑥1 = 𝑣∆𝑡1
𝑥1 = 𝑐∆𝑡2
Image of B at B
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real
clock A
Real
clock B
Observation 1:
Apparent Position of B
Since what the observer
intercepted is the image of
clock B at B, the apparent
position of B is:
𝑥1 = 𝑣∆𝑡1
This position is called
‘apparent’ because clock B is
already not there.
𝑥3
Apparent position

𝑣
A B
𝑥1 = 𝑣∆𝑡1
𝑥1 = 𝑐∆𝑡2
Image of B at B
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real
clock A
Real
clock B
Observation 2: Current Time
The time taken for the image to
reach A is 𝑡2 at speed c. Since
it covers the same distant
𝑥1initially taken by the clock:
𝑥1 = 𝑐∆𝑡2 = 𝑣∆𝑡1
∆𝑡2 =
𝑣∆𝑡1
𝑐
The clocks A and B has now
advanced by a time = ∆𝑡2. The
current time ∆𝑡3 is therefore:
∆𝑡3 = ∆𝑡1 + ∆𝑡2
It takes the image
time ∆𝑡2to reach A,
say 1 second
∆𝑡3 ∆𝑡3

𝑣
A B
𝑥1 = 𝑣∆𝑡1
𝑥1 = 𝑐∆𝑡2
Image of B at B
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real
clock A
Real
clock B
Observation 3: Apparent Time
The observed or apparent time
shown on the image of B is
that of a time ∆𝑡2 earlier. So
the apparent time on the clock
image appears to be slower
than clock A by ∆𝑡2:
∆𝑡3= ∆𝑡1 + ∆𝑡2
∆𝑡3> ∆𝑡1
𝑥3
It takes the image
time ∆𝑡2to reach A,
say 1 second
𝑡3 𝑡3

𝑣
A B
𝑥1 = 𝑣∆𝑡1
𝑥1 = 𝑐∆𝑡2
𝑐∆𝑡2 = 𝑣∆𝑡1
∆𝑡2 = 𝑣∆𝑡1/𝑐
Image of B at B
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real
clock A
Real
clock B
Observation 4: Actual
Position of B
The actual position of B is C
when A sees the image:
𝑥3 = 𝑥1 + ∆𝑥
= 𝑣∆𝑡1 + 𝑣∆𝑡2
= 𝑣(∆𝑡1 + ∆𝑡2)
Now ∆𝑡2 = 𝑣∆𝑡1/c, so:
𝑥3 = 𝑣(∆𝑡1 + 𝑣∆𝑡1/c)
= (1 + 𝑣/𝑐)𝑣∆𝑡1
= 1 +
𝑣
𝑐
𝑥1
𝑥3

𝑣
A B
𝑥1 = 𝑣∆𝑡1
𝑥1 = 𝑐∆𝑡2
Image of B at
B
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Real
clock A
Real
clock B
Observation 5: Actual
Timing
The actual time of clock A
and clock B are the same,
both registering the current
time at 4 seconds:
∆𝑡3 = ∆𝑡1 + ∆𝑡2
∆𝑡3
∆𝑡3
∆𝑡1

𝑣
Image
𝑐
Actual time Actual timeApparent time
Overall Configuration

𝑣
A B
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2
Image
∆𝑥 = 𝑣∆𝑡2
C
𝑐
Actual position of B 𝑥3
Apparent position of B
Actual time Actual timeApparent time
General Measurements

Summary of Observations
The apparent position of B is:
𝑥1 = 𝑣∆𝑡1
The apparent time of B is (Slower
than what is now on A & B):
∆𝑡1
The actual position of B is farther
than apparent position:
𝑥3 = 1 +
𝑣
𝑐
𝑥1
The actual time of B is the same as A
but longer than apparent time:
∆𝑡3 = ∆𝑡1 + ∆𝑡2
= ∆𝑡1 +
𝑣
𝑐
∆𝑡1
= 1 +
𝑣
𝑐
∆𝑡1

Conclusions
The actual position of B is farther
away than its apparent position:
𝑥3 = 1 +
𝑣
𝑐
𝑥1 > 𝑥1
The actual time of A & B is longer
than apparent time (apparent time
is slower):
∆𝑡3 = 1 +
𝑣
𝑐
∆𝑡1 > ∆𝑡1
A B
𝑥1 = 𝑣∆𝑡1 = 𝑐∆𝑡2 ∆𝑥 = 𝑣∆𝑡2
C
Actual position of B 𝑥3
Apparent position of B
Actual time ∆𝑡3 Actual time ∆𝑡3Apparent time ∆𝑡1

They are all physically real
quantities. Even the apparent
time and position are made up
of real photons of light.
They are all physically real
quantities. Even the apparent
time and position are made up
of real photons of light.
The equations are derived
through classical approaches,
so the study of visonics is in
essence a branch of classical
physics dedicated to the study
of light speed.
These are the basic equations from
visonics. It does not need the
Lorentz transformations of
coordinates so that no complicated
mathematics is involved.

RELATIVISTIC LENGTH
CONTRACTION
To be continued in
Cosmic Adventure 5.5

Cosmic adventure 5.4 Moving Objects in Visonics

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Cosmic adventure 5.4 Moving Objects in Visonics