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Β© ABCC Australia 2015 new-physics.com
FRAMES IN MOTION
Cosmic Adventure 5.3
Β© ABCC Australia 2015 new-physics.com
Motion in Special Theory of Relativity
In the Special Theory of Relativity, we deal with two observers, each in his
own reference system. The first observer stays in rest while the other is on
the move.
Β© ABCC Australia 2015 new-physics.com
π‘₯β€²
= π‘₯β€²β€²
+ 𝑣𝑑
π‘₯β€²β€²
= π‘₯β€²
βˆ’ 𝑣𝑑
The classical equations for
two systems’ positions
related to each other. 𝑂′′ is
on the move at velocity 𝑣.
𝑠 = 𝑣𝑑 π‘₯β€²β€²
π‘₯β€²
𝑂′ 𝑃𝑂′′
Β© ABCC Australia 2015 new-physics.com
𝑠 = 𝑣𝑑
0’
π‘₯β€²
P
System 1 Primed (β€˜)
π‘₯β€²β€²
0’’ P
System 2 Primed (β€˜β€™)
Two Static Reference
Systems
We start off with two
reference systems A and B
which are at the same
location together. They are
in line with each other, but
for clarity, we split them into
two.
System B is moving away
from the stationary system A
at a speed 𝑣 which becomes
their relative speed.
Β© ABCC Australia 2015 new-physics.com
System x:
π‘₯β€² = π‘₯ βˆ’ 𝑣𝑑
𝑦′ = 𝑦
𝑧′ = 𝑧
𝑑′ = 𝑑
System x’:
π‘₯ = π‘₯β€²
+ 𝑣𝑑
𝑦 = 𝑦′
𝑧 = 𝑧′
𝑑 = 𝑑′
The trouble with these
equations is that the
speed of light is not
considered.
No Light Involved
Β© ABCC Australia 2015 new-physics.com
Lorentz Factor
To change them into a form
adaptable to the finite speed
of light is by the method of
coordinate transformation
according to the postulates
of Special Relativity.
This is done by introducing
the Lorentz factor:
𝛾 =
1
1 βˆ’
𝑣2
𝑐2
𝛾 =
1
1 βˆ’
𝑣2
𝑐2
Β© ABCC Australia 2015 new-physics.com
π‘₯β€²β€²
=
π‘₯β€² βˆ’ 𝑣𝑑
1 βˆ’
𝑣2
𝑐2
𝑑′′
=
𝑑′ βˆ’ 𝑣π‘₯β€²/𝑐2
1 βˆ’
𝑣2
𝑐2
π‘₯β€² =
π‘₯β€²β€² + 𝑣𝑑
1 βˆ’
𝑣2
𝑐2
𝑑′ =
𝑑′′
+ 𝑣π‘₯β€²β€²/𝑐2
1 βˆ’
𝑣2
𝑐2
This Lorentz factor is the crucial element in most of equations
and operations of my theory. It is mysterious and powerful.
Β© ABCC Australia 2015 new-physics.com
𝑠 = 𝑣𝑑
0’
π‘₯β€²
P
System 1 Primed (β€˜)
π‘₯β€²β€²
0’’ P
System 2 Primed (β€˜β€™)
Two Static Reference
Systems
For example, in calculating
the Lorentz factor when the
relative velocity is one-
hundredth of that of light:
𝑣 =
𝑐
100
= 0.01𝑐
Β© ABCC Australia 2015 new-physics.com
Examples of Valuating 𝜸 at Low Velocity
For low velocity such as
𝑣 = 0.01𝑐:
1 βˆ’
𝑣2
𝑐2
β†’ 1 βˆ’
0.012 𝑐2
𝑐2
= 1 βˆ’ 0.001 = 0.995
= 0.9975
π‘₯β€²β€²
=
π‘₯β€² βˆ’ 0.9975𝑑
0.9975
𝑑′′ =
𝑑′ βˆ’ 0.9975π‘₯β€²/𝑐2
0.9975
Since 0.9975 is close to unity, there
is not much change to the
equations.
Β© ABCC Australia 2015 new-physics.com
Example of 𝜸 at High Velocity
For high velocity such as
𝑣 = 0.9𝑐:
1 βˆ’
𝑣2
𝑐2
β†’ 1 βˆ’
0.92 𝑐2
𝑐2
= 1 βˆ’ 0.81 = 0.19
= 0.4359
π‘₯β€²β€² =
π‘₯β€²
βˆ’ 0.4359𝑑
0.4359
𝑑′′ =
𝑑′
βˆ’ 0.4359π‘₯β€²/𝑐2
0.4359
Since 0.4359 is comparatively small,
it is able to impart significant
changes to the equations.
Β© ABCC Australia 2015 new-physics.com
So the effects of Relativity will
become noticeable at very high
speed – at least somewhere
close to that of light.
Β© ABCC Australia 2015 new-physics.com
The origin of the equations is
not clear and the
mathematical operations are
not that straight forward
either. However the idea
sounds good and innovative.
So we cannot pass our
judgements at this moment
until we have the
presentation from Angela as
well.
Β© ABCC Australia 2015 new-physics.com
OBJECTS IN MOTION IN VISONICS
To be continued on
Cosmic Adventure 5.4

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Cosmic Adventure 5.3 Frames in Motion in Relativity

  • 1. Β© ABCC Australia 2015 new-physics.com FRAMES IN MOTION Cosmic Adventure 5.3
  • 2. Β© ABCC Australia 2015 new-physics.com Motion in Special Theory of Relativity In the Special Theory of Relativity, we deal with two observers, each in his own reference system. The first observer stays in rest while the other is on the move.
  • 3. Β© ABCC Australia 2015 new-physics.com π‘₯β€² = π‘₯β€²β€² + 𝑣𝑑 π‘₯β€²β€² = π‘₯β€² βˆ’ 𝑣𝑑 The classical equations for two systems’ positions related to each other. 𝑂′′ is on the move at velocity 𝑣. 𝑠 = 𝑣𝑑 π‘₯β€²β€² π‘₯β€² 𝑂′ 𝑃𝑂′′
  • 4. Β© ABCC Australia 2015 new-physics.com 𝑠 = 𝑣𝑑 0’ π‘₯β€² P System 1 Primed (β€˜) π‘₯β€²β€² 0’’ P System 2 Primed (β€˜β€™) Two Static Reference Systems We start off with two reference systems A and B which are at the same location together. They are in line with each other, but for clarity, we split them into two. System B is moving away from the stationary system A at a speed 𝑣 which becomes their relative speed.
  • 5. Β© ABCC Australia 2015 new-physics.com System x: π‘₯β€² = π‘₯ βˆ’ 𝑣𝑑 𝑦′ = 𝑦 𝑧′ = 𝑧 𝑑′ = 𝑑 System x’: π‘₯ = π‘₯β€² + 𝑣𝑑 𝑦 = 𝑦′ 𝑧 = 𝑧′ 𝑑 = 𝑑′ The trouble with these equations is that the speed of light is not considered. No Light Involved
  • 6. Β© ABCC Australia 2015 new-physics.com Lorentz Factor To change them into a form adaptable to the finite speed of light is by the method of coordinate transformation according to the postulates of Special Relativity. This is done by introducing the Lorentz factor: 𝛾 = 1 1 βˆ’ 𝑣2 𝑐2 𝛾 = 1 1 βˆ’ 𝑣2 𝑐2
  • 7. Β© ABCC Australia 2015 new-physics.com π‘₯β€²β€² = π‘₯β€² βˆ’ 𝑣𝑑 1 βˆ’ 𝑣2 𝑐2 𝑑′′ = 𝑑′ βˆ’ 𝑣π‘₯β€²/𝑐2 1 βˆ’ 𝑣2 𝑐2 π‘₯β€² = π‘₯β€²β€² + 𝑣𝑑 1 βˆ’ 𝑣2 𝑐2 𝑑′ = 𝑑′′ + 𝑣π‘₯β€²β€²/𝑐2 1 βˆ’ 𝑣2 𝑐2 This Lorentz factor is the crucial element in most of equations and operations of my theory. It is mysterious and powerful.
  • 8. Β© ABCC Australia 2015 new-physics.com 𝑠 = 𝑣𝑑 0’ π‘₯β€² P System 1 Primed (β€˜) π‘₯β€²β€² 0’’ P System 2 Primed (β€˜β€™) Two Static Reference Systems For example, in calculating the Lorentz factor when the relative velocity is one- hundredth of that of light: 𝑣 = 𝑐 100 = 0.01𝑐
  • 9. Β© ABCC Australia 2015 new-physics.com Examples of Valuating 𝜸 at Low Velocity For low velocity such as 𝑣 = 0.01𝑐: 1 βˆ’ 𝑣2 𝑐2 β†’ 1 βˆ’ 0.012 𝑐2 𝑐2 = 1 βˆ’ 0.001 = 0.995 = 0.9975 π‘₯β€²β€² = π‘₯β€² βˆ’ 0.9975𝑑 0.9975 𝑑′′ = 𝑑′ βˆ’ 0.9975π‘₯β€²/𝑐2 0.9975 Since 0.9975 is close to unity, there is not much change to the equations.
  • 10. Β© ABCC Australia 2015 new-physics.com Example of 𝜸 at High Velocity For high velocity such as 𝑣 = 0.9𝑐: 1 βˆ’ 𝑣2 𝑐2 β†’ 1 βˆ’ 0.92 𝑐2 𝑐2 = 1 βˆ’ 0.81 = 0.19 = 0.4359 π‘₯β€²β€² = π‘₯β€² βˆ’ 0.4359𝑑 0.4359 𝑑′′ = 𝑑′ βˆ’ 0.4359π‘₯β€²/𝑐2 0.4359 Since 0.4359 is comparatively small, it is able to impart significant changes to the equations.
  • 11. Β© ABCC Australia 2015 new-physics.com So the effects of Relativity will become noticeable at very high speed – at least somewhere close to that of light.
  • 12. Β© ABCC Australia 2015 new-physics.com The origin of the equations is not clear and the mathematical operations are not that straight forward either. However the idea sounds good and innovative. So we cannot pass our judgements at this moment until we have the presentation from Angela as well.
  • 13. Β© ABCC Australia 2015 new-physics.com OBJECTS IN MOTION IN VISONICS To be continued on Cosmic Adventure 5.4