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© ABCC Australia 2015 new-physics.com
Cosmic Adventure 5.7
VISONIC TIME DILATION – CLOCKS AT REST
© ABCC Australia 2015 new-physics.com
Clock Reading at a Distance
When an observer looks at the Big Ben at a distance, he is looking
at the image of the clock some time in the past.
© ABCC Australia 2015 new-physics.com
This is because light image from
the Big Ben takes time to reach
the observer, no matter how
short the distance or time is.
Time Lapse between Observer and Observed
𝑠 = 𝑐∆𝑡 or ∆𝑡 = 𝑠/𝑐
© ABCC Australia 2015 new-physics.com
A B
Image of B
𝑐
Real clock A Real clock B
Actual time Actual timeFixed time
Clock Image Reading on Leaving Clock B
At the moment of the image of clock B leaves clock B, the two clocks show
the same time. However, the image of clock B does not change because it
is only an image of that instant. On the other hand, the real clocks keep
ticking as usual.
© ABCC Australia 2015 new-physics.com
The image of B has to traverse a distance AB between A and B in order to
reach A. It takes a duration of ∆𝑡 = 𝐴𝐵/𝑐. Which means that the real
clocks have advanced a time of ∆𝑡 already as well.
Clock Readings when image of Clock B meets Clock A
A B
Image of clock B
reaching A
𝑐
Real clock A Real clock B
∆𝑡 ∆𝑡
© ABCC Australia 2015 new-physics.com
A B
Image of clock B
reaching A
𝑐
Real clock A Real clock B
Clock Readings when image of Clock B meets Clock A
This results in a difference of time between the real clock A and the image
of B. The time on the image is behind that of the real clock A. The
observer at A concludes that clock B is running slower than clock A.
∆𝑡 ∆𝑡
© ABCC Australia 2015 new-physics.com
Summary of Observations 1 & 2
1. The actual time of clock B is
same as that on clock A:
𝑡 𝐴 = 𝑡 𝐵
2. The apparent time of B is
slower than what is on A & B:
𝑡𝑖𝑚𝑎𝑔𝑒 = 𝑡 𝐴 𝑜𝑟 𝐵 − ∆𝑡
= 𝑡 𝐴 𝑜𝑟 𝐵 − 𝐴𝐵/𝑐
A
Image of clock B
reaching A
𝑐
Real clock A
∆𝑡
B
Real clock B
∆𝑡
© ABCC Australia 2015 new-physics.com
Summary of Observation 3
3. The time delay depends on the separation s=AB between the two clocks:
∆𝑡 = 𝐴𝐵/𝑐
𝐴 𝐵
© ABCC Australia 2015 new-physics.com
Slower clock because of distance?
In fact, clock B is not slower. It is only the image that is behind real time.
A B
𝑐
Real clock A Real clock B
∆𝑡 ∆𝑡
A B
∆𝑡
Apparent situation
Actual situation
© ABCC Australia 2015 new-physics.com
Relativistic Time Dilation
The relativists would report a time dilation, even with a different amount.
© ABCC Australia 2015 new-physics.com
VISONIC TIME DILATION – OBJECT IN MOTION
To be continued in Cosmic Adventure 5.8

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Cosmic Adventure 5.7 Time Dilation at Rest in Visonics

  • 1. © ABCC Australia 2015 new-physics.com Cosmic Adventure 5.7 VISONIC TIME DILATION – CLOCKS AT REST
  • 2. © ABCC Australia 2015 new-physics.com Clock Reading at a Distance When an observer looks at the Big Ben at a distance, he is looking at the image of the clock some time in the past.
  • 3. © ABCC Australia 2015 new-physics.com This is because light image from the Big Ben takes time to reach the observer, no matter how short the distance or time is. Time Lapse between Observer and Observed 𝑠 = 𝑐∆𝑡 or ∆𝑡 = 𝑠/𝑐
  • 4. © ABCC Australia 2015 new-physics.com A B Image of B 𝑐 Real clock A Real clock B Actual time Actual timeFixed time Clock Image Reading on Leaving Clock B At the moment of the image of clock B leaves clock B, the two clocks show the same time. However, the image of clock B does not change because it is only an image of that instant. On the other hand, the real clocks keep ticking as usual.
  • 5. © ABCC Australia 2015 new-physics.com The image of B has to traverse a distance AB between A and B in order to reach A. It takes a duration of ∆𝑡 = 𝐴𝐵/𝑐. Which means that the real clocks have advanced a time of ∆𝑡 already as well. Clock Readings when image of Clock B meets Clock A A B Image of clock B reaching A 𝑐 Real clock A Real clock B ∆𝑡 ∆𝑡
  • 6. © ABCC Australia 2015 new-physics.com A B Image of clock B reaching A 𝑐 Real clock A Real clock B Clock Readings when image of Clock B meets Clock A This results in a difference of time between the real clock A and the image of B. The time on the image is behind that of the real clock A. The observer at A concludes that clock B is running slower than clock A. ∆𝑡 ∆𝑡
  • 7. © ABCC Australia 2015 new-physics.com Summary of Observations 1 & 2 1. The actual time of clock B is same as that on clock A: 𝑡 𝐴 = 𝑡 𝐵 2. The apparent time of B is slower than what is on A & B: 𝑡𝑖𝑚𝑎𝑔𝑒 = 𝑡 𝐴 𝑜𝑟 𝐵 − ∆𝑡 = 𝑡 𝐴 𝑜𝑟 𝐵 − 𝐴𝐵/𝑐 A Image of clock B reaching A 𝑐 Real clock A ∆𝑡 B Real clock B ∆𝑡
  • 8. © ABCC Australia 2015 new-physics.com Summary of Observation 3 3. The time delay depends on the separation s=AB between the two clocks: ∆𝑡 = 𝐴𝐵/𝑐 𝐴 𝐵
  • 9. © ABCC Australia 2015 new-physics.com Slower clock because of distance? In fact, clock B is not slower. It is only the image that is behind real time. A B 𝑐 Real clock A Real clock B ∆𝑡 ∆𝑡 A B ∆𝑡 Apparent situation Actual situation
  • 10. © ABCC Australia 2015 new-physics.com Relativistic Time Dilation The relativists would report a time dilation, even with a different amount.
  • 11. © ABCC Australia 2015 new-physics.com VISONIC TIME DILATION – OBJECT IN MOTION To be continued in Cosmic Adventure 5.8