Cosmic Adventure 5.2 Visonic Transform Without Motion

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Transcript of Cosmic Adventure 5.2 Visonic Transform Without Motion

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VISONIC TRANSFORM WITHOUT MOTION

Cosmic Adventure 5.2

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In classical physics, we use two frames in relation to the observed object because we are dealing with relative motion.

Observer 1 Observer 2

Object or Event

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The resultant equations are:

System x:

𝑥′ = 𝑥 − 𝑠

𝑦′ = 𝑦

𝑧′ = 𝑧

𝑡′ = 𝑡

System x’:

𝑥 = 𝑥′ + 𝑠

𝑦 = 𝑦′

𝑧 = 𝑧′

𝑡 = 𝑡′

𝑠

0

𝑥

𝑥’

0′ 𝑃 𝑋

𝑌

Reference System

Observer 1 Observer 2 Object or Event

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𝑥′ = 𝑥 − 𝑠

𝑦′ = 𝑦

𝑧′ = 𝑧

𝑡′ = 𝑡

These equations cannot be transformed because no velocity is involved.

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But under this way of framing, the presence of light and the effects of its speed are not considered.

𝑠

0

𝑥

𝑥’

0′ 𝑃 𝑋

𝑌

Reference System

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The Science of Visonics

Visonics is a simple science. Its formulations are also basically very simple. It only involves an observer with his clock and the object as another clock.

The coordinate system is equally simple and intuitive just like classical physics.

There are two reasons for this apparent simplicity . . .

𝑠 = 𝑥

A B

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𝑠

0

𝑥

𝑥’

0′ 𝑃 𝑋

𝑌

0

𝑥

0′ 𝑋

𝑌

Coordinate System of Visonics

Firstly, the positions and motions are linear within the system. The observers and object are related to each other directly.

So we can incorporate the object into P with the second reference frame, that is, the second reference frame becomes the object itself. This produces a single frame. Visonics or Classical System

Relativistic System

ObjectObserver

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𝑠 = 𝑥

A B

Symmetry of Relative Motion

Secondly, the two systems are symmetrical in every aspect. They are geometrically the reversal of each other when the coordinates are also reversed. So one frame is sufficient to represent the entire situation.

𝑠 = 𝑥

ABRight-handed System

[Reverse System]

Left-handed System

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𝑠 = 𝑥

A B

So in visonics, we only need one reference for our discussion - In the static state, they are separated by a distance s. It is the simplest coordinate representation in classical physics.

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Light & Vision

We can see an object because its light brings the images to our eyes. Light is the visual image carrier in our lives.

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Light in between

But since light has a limited speed, it take time to travel. This delay in time in not discernible in our daily life because the speed of light is exceedingly high. But in the celestial scale, the delay becomes obvious.

For example, light will take eight minutes to travel from the sun to the earth.

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As another example, the galaxy of Andromeda is 2,538,000 light years away from the earth. A light year is the time taken for light to travel in one year – covering about 9 trillion kilometers (about 6 trillion miles). This is the time in years needed for its light to reach earth. You Earth people had made measurements of various objects as shown in the following table . . .

2,538,000 𝐿𝑖𝑔ℎ𝑡 𝑦𝑒𝑎𝑟𝑠

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Distance Duration Time Units

1 foot 1.017 nanoseconds (10-9)

1 meter 3.335 nanoseconds (10-9)

1 kilometre 3.3 microseconds (10-6)

1 mile 5.4 microseconds (10-6)

Around Earth's equator 134 micro seconds

Earth to the Moon 1.3 seconds

Earth to the Sun 8.3 minutes

Across the Milky Way 100,000 years ± 1,400 years

Earth to the centre of Milky Way 26,000 years ± 1,400 years

Earth to the Andromeda Galaxy 2.5 million years (106)

Earth to the visible edge of the observable Universe 46.5 million years (109)

One light year 1.0 year

One parsec 3.26 years

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We can take Earth and Jupiter for a practical example. The mean distance between Earth and Jupiter is about 6 light-hours

𝑠 = 6 light-hours

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Clock reading on Earth after 6 hours

Clock image from Jupiter

4th hours0 hours 2nd hours 6th hours

6th hours

What the Earth will see is that a Jupiter clock is running 6 hours late.

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Equation for Time Delay

So the clock-reading difference between the clock on earth and the clock on Jupiter is:

𝑇𝑖𝑚𝑒 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 (𝑡)

= 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 (𝑠)/𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 𝑜𝑓 𝑙𝑖𝑔ℎ𝑡(𝑡)

𝑡 = 𝑠/𝑐

Earth clock[Real object]

Jupiter clock[Image only]

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Galilean Transform

I can see the difference now. This is the result after taking the speed of light into consideration.

Galilean transform is Galilean because in my time light was thought to have an infinite speed. If light has an infinite speed, then I will see everything at exactly the same time as the object itself. There can be no transformation due to the velocity of light.

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Time Spheres

As result of the finite speed of light, we are actually living in a world made up by layers of time spheres.

In the smaller scale, we have

our immediate environment.

𝑛𝑠 = 𝑛𝑎𝑛𝑜 𝑠𝑒𝑐𝑜𝑛𝑑

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Time Spheres

In the larger scale, we have the universe.

The scale is governed by the same formula:

𝑠 = 𝑐𝑡

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So there is this basic difference between Relativity and Visonics.

Visonics concentrates on the transmission of images by light.

Relativity emphasizes on the transformation of coordinate frames in conjunction with the constant speed of light.

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Visonic Treatment

1. The job is to find the effect of light under observation in the classical environment.

2. Only one coordinate system is used.

1. The aim is to find the relationship between the frames involving the super-speed of light in the relativistic conditions.

2. Two or more reference systems are required.

Relativistic Treatment

0

𝑥

0′ 𝑋Visonics or Classical System

ObjectObserver

𝑠

0

𝑥

𝑥’

0′ 𝑃 𝑋

𝑌

Relativistic System

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Relativity Invalid at Low Speed

In the case of observer and object at rest, the relativistic equations are reduced to the classical ones. According to the theory of Special Relativity, these classical ones are only applies when the object or observer are moving at low speed. But in actual fact, they are misconceived. No matter how slow is the object, the discrepancies are still there.

𝑥′′ =𝑥′ − 𝑣𝑡

1 −𝑣2

𝑐2

→ 𝑥′

𝑡′′ =𝑡′ − 𝑣𝑥′/𝑐2

1 −𝑣2

𝑐2

→ 𝑡′

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Visonic Equations

𝑥′ = 𝑥

𝑡′ = 𝑡 − 𝑠/𝑐

𝑥′′ =𝑥′ − 𝑣𝑡

1 −𝑣2

𝑐2

→ 𝑥′

𝑡′′ =𝑡′ − 𝑣𝑥′/𝑐2

1 −𝑣2

𝑐2

→ 𝑡′

Relativistic Equations

Earth clock[Real object]

Jupiter clock[Image]

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. . . so this phenomenon of delay at rest is not covered by the theory of relativity.

I see your point. But this is not my true meaning of relativity. Let’s see how motion will affect the entire situation.

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FRAMES IN MOTION

To be continued on Cosmic Adventure 5.3