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duordi134
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Length contraction velocity question.
Suppose there are two sets of binary neutron stars in mirrored synchronous orbits one light year apart with zero differential velocity between the orbits center of mass.
Both sets of binary stars are orbiting very fast causing velocities with respect to one another close to the speed of light.
An observer on one of the neutron stars records that one of the neutron stars from each orbit set are traveling directly towards each other and one of the neutron stars from each orbit set are traveling directly away from each other.
For an observer on one of the neutron stars a large Lorenz contraction of the distance between two of the the neutron stars make the neutron stars temporarily appear to be 1/2 light year apart.
A short time later the the same neutron stars are traveling parallel due to their orbit progression and the Lorenz contraction vanishes causing the neutron stars now to appear to be one light year apart.
This pattern continues with each orbit.
Because the differential velocity is gradually changing with the orbits the Lorenz contraction must also gradually change.
There is an apparent "Lorenz Velocity" and "Lorenz Acceleration" as the neutron star moves from
1/2 light year distance to 1 light year distance and back.
I understand the interaction of the neutron stars gravitational acceleration toward one another must depend on the Lorenz contracted distance and so the Lorenz contracted distance should be considered real from a physics standpoint.
Should I consider the apparent Lorenz induced velocity and the Lorenz induce acceleration as real
or fictitious?
The Lorenz contraction depends on differential velocity.
Should the change in distance (Lorenz Velocity) caused by change in the Lorenz contraction with respect to time be included in the velocity term of the Lorenz contraction formula?
In the example above the "Lorenz velocity" exceeds the speed of light so please explain how it is to be included in the Lorenz contraction equation if it is to be included.
If I put a faster than light speed into the Lorenz contraction equation I will get imaginary numbers.
Duordi
Suppose there are two sets of binary neutron stars in mirrored synchronous orbits one light year apart with zero differential velocity between the orbits center of mass.
Both sets of binary stars are orbiting very fast causing velocities with respect to one another close to the speed of light.
An observer on one of the neutron stars records that one of the neutron stars from each orbit set are traveling directly towards each other and one of the neutron stars from each orbit set are traveling directly away from each other.
For an observer on one of the neutron stars a large Lorenz contraction of the distance between two of the the neutron stars make the neutron stars temporarily appear to be 1/2 light year apart.
A short time later the the same neutron stars are traveling parallel due to their orbit progression and the Lorenz contraction vanishes causing the neutron stars now to appear to be one light year apart.
This pattern continues with each orbit.
Because the differential velocity is gradually changing with the orbits the Lorenz contraction must also gradually change.
There is an apparent "Lorenz Velocity" and "Lorenz Acceleration" as the neutron star moves from
1/2 light year distance to 1 light year distance and back.
I understand the interaction of the neutron stars gravitational acceleration toward one another must depend on the Lorenz contracted distance and so the Lorenz contracted distance should be considered real from a physics standpoint.
Should I consider the apparent Lorenz induced velocity and the Lorenz induce acceleration as real
or fictitious?
The Lorenz contraction depends on differential velocity.
Should the change in distance (Lorenz Velocity) caused by change in the Lorenz contraction with respect to time be included in the velocity term of the Lorenz contraction formula?
In the example above the "Lorenz velocity" exceeds the speed of light so please explain how it is to be included in the Lorenz contraction equation if it is to be included.
If I put a faster than light speed into the Lorenz contraction equation I will get imaginary numbers.
Duordi