Post by LaurenceClarkCrossen"Light Speed and Special Relativity"
António Saraiva – 2009-09-13
https://www.gsjournal.net/Science-Journals/Research%20Papers-
Relativity%20Theory/Download/2812
In the following are the statements in quotation marks
quotations from the the paper above:
"The given facts in this analysis are:"
"The light from Jupiter takes 1003 seconds to cross from
the near point of Earth's orbit to the far point at the speed
of 300,000 km/sec, (c) in relation to Jupiter."
My comment:
The light from Jupiter will cross Earth's orbit twice.
The light will use the time 2AU/c = 998 seconds.
"It is known that Earth takes about 200 days to make this same trip.
The Earth's average retreating speed in relation to Jupiter is
17.361 km/sec."
My comment:
The orbital speed of Jupiter is 13.1 km/s, and the orbital
speed of the Earth is 29.8 km/s.
Since the orbits are two concentric circles the retreating
speed varies from 0, to 29.8 km/s, back to 0, to -29.8 km/s,
and back to 0.
The average is ~0. Which is utterly irrelevant.
"When two things race between two points at the same time at differing
speeds,... they have a relative speed that is equal to the difference
between the highest and lowest speed. Therefore the average relative
speed is approximately 300,000 minus 17.361 km/sec."
This is an awkward way of stating:
If the speed of light relative to Jupiter is c, then the speed of light
will vary between c + 29.8 km/s and c - 29.8 km/s relative to the Earth.
Let us express it correctly:
In the inertial rest frame of Jupiter the speed of light is c,
and the speed of the Earth is -29.8 km/s.
The speed difference is c-29.8 km/s. (sometimes called "closing speed")
In the inertial rest frame of the Earth the speed of light is c,
and the speed of Jupiter is -29.8 km/s.
The speed difference is c-29.8 km/s.
That the speed of light is invariant means that it is c in all
inertial frames of reference.
If you express it as "the speed of light is c relative to all
objects", it may be right, but is prone to be misunderstood,
as Saraiva did.
But what Savira really did, was to claim: The speed of light
is not invariant, because the speed of light isn't invariant.
--
Paul
https://paulba.no/