Cosmic Adventure 5.3 Frames in Motion in Relativity
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Transcript of Cosmic Adventure 5.3 Frames in Motion in Relativity
© ABCC Australia 2015 new-physics.com
FRAMES IN MOTION
Cosmic Adventure 5.3
© 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.
© ABCC Australia 2015 new-physics.com
𝑥′ = 𝑥′′ + 𝑣𝑡𝑥′′ = 𝑥′ − 𝑣𝑡
The classical equations for two systems’ positions related to each other. 𝑂′′ ison the move at velocity 𝑣.
𝑠 = 𝑣𝑡 𝑥′′
𝑥′
𝑂′ 𝑃𝑂′′
© ABCC Australia 2015 new-physics.com
𝑠 = 𝑣𝑡
0’
𝑥′
P
System 1 Primed (‘)
𝑥′′
0’’ P
System 2 Primed (‘’)
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.
© ABCC Australia 2015 new-physics.com
System x:
𝑥′ = 𝑥 − 𝑣𝑡
𝑦′ = 𝑦
𝑧′ = 𝑧
𝑡′ = 𝑡
System x’:
𝑥 = 𝑥′ + 𝑣𝑡
𝑦 = 𝑦′
𝑧 = 𝑧′
𝑡 = 𝑡′
The trouble with these equations is that the speed of light is not
considered.
No Light Involved
© 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 −𝑣2
𝑐2
𝛾 =1
1 −𝑣2
𝑐2
© ABCC Australia 2015 new-physics.com
𝑥′′ =𝑥′ − 𝑣𝑡
1 −𝑣2
𝑐2
𝑡′′ =𝑡′ − 𝑣𝑥′/𝑐2
1 −𝑣2
𝑐2
𝑥′ =𝑥′′ + 𝑣𝑡
1 −𝑣2
𝑐2
𝑡′ =𝑡′′ + 𝑣𝑥′′/𝑐2
1 −𝑣2
𝑐2
This Lorentz factor is the crucial element in most of equations and operations of my theory. It is mysterious and powerful.
© ABCC Australia 2015 new-physics.com
𝑠 = 𝑣𝑡
0’
𝑥′
P
System 1 Primed (‘)
𝑥′′
0’’ P
System 2 Primed (‘’)
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
© ABCC Australia 2015 new-physics.com
Examples of Valuating 𝜸 at Low Velocity
For low velocity such as
𝑣 = 0.01𝑐:
1 −𝑣2
𝑐2→ 1 −
0.012𝑐2
𝑐2
= 1 − 0.001 = 0.995
= 0.9975
𝑥′′ =𝑥′ − 0.9975𝑡
0.9975
𝑡′′ =𝑡′ − 0.9975𝑥′/𝑐2
0.9975
Since 0.9975 is close to unity, there is not much change to the equations.
© ABCC Australia 2015 new-physics.com
Example of 𝜸 at High Velocity
For high velocity such as
𝑣 = 0.9𝑐:
1 −𝑣2
𝑐2→ 1 −
0.92𝑐2
𝑐2
= 1 − 0.81 = 0.19
= 0.4359
𝑥′′ =𝑥′ − 0.4359𝑡
0.4359
𝑡′′ =𝑡′ − 0.4359𝑥′/𝑐2
0.4359
Since 0.4359 is comparatively small, it is able to impart significant changes to the equations.
© 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.
© 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.
© ABCC Australia 2015 new-physics.com
OBJECTS IN MOTION IN VISONICS
To be continued on
Cosmic Adventure 5.4