Ulven wrote:You might say that, in a sense, I did check with a native-German speaker: Herr Einstein himself. In the popular science book “Die Evolution der Physik” (Einstein and Infeld) he states very clearly: “Will man eine Geschwindigkeit characterisieren, so bedarf es dazu sowohl einer Zahl als auch einer Richtungsangabe.” Roughly translated this says that if you want to characterise a velocity (Geschwindigkeit), you will require a number as well as a specification of direction. You can check the translation with Google if you like, it’s not perfect, but it’s close enough. I think I’ll stick to Einstein’s interpretation of the word, rather than yours.
I have no issue with that statement. He's talking about a vector-quantity velocity there. But look again at the other quote:
"In the second place our result shows that, according to the general theory of relativity, the law of the constancy of the velocity of light in vacuo, which constitutes one of the two fundamental assumptions in the special theory of relativity and to which we have already frequently referred, cannot claim any unlimited validity. A curvature of rays of light can only take place when the velocity of propagation of light varies with position. Now we might think that as a consequence of this, the special theory of relativity and with it the whole theory of relativity would be laid in the dust. But in reality this is not the case. We can only conclude that the special theory of relativity cannot claim an unlimited domain of validity; its results hold only so long as we are able to disregard the influences of gravitational fields on the phenomena (e.g. of light)".
One of the two fundamental assumptions of the special theory of relativity was the constant
speed of light. So a vector-quantity velocity here doesn't make sense. Now take a look at
A curvature of rays of light can only take place when the velocity of propagation of light varies with position. If you apply a vector-quantity velocity and break it down into speed and direction, and then say the speed doesn't change, that must mean the direction changes. So restate the sentence as
A curvature of rays of light can only take place when the direction of propagation of light varies with position. This is a nonsensical tautology. It's saying
light changes direction because it changes direction. Look at the OP again for the various Einstein quotes, and have a read of
Is The Speed of Light Constant? where the author agrees with my take on this, saying:
"Since Einstein talks of velocity (a vector quantity: speed with direction) rather than speed alone, it is not clear that he meant the speed will change, but the reference to special relativity suggests that he did mean so. This interpretation is perfectly valid and makes good physical sense, but a more modern interpretation is that the speed of light is constant in general relativity."
Ulven wrote:The referenced book was published in 1950, by the way, and he goes on to explain the general theory of relativity and the behaviour of light in gravitational fields. Strangely enough, not once does he mention that the speed of light varies in the field, although he mentions that light is deflected from its rectilinear motion by the field, i.e. that its velocity changes. It appears that he had abandoned your theory at that point in his life.
That's wishful thinking I'm afraid, Ulven. He was struggling with his unified model until he died.
Ulven wrote:That's about as foolish as claiming that a particle doesn't move through three-dimensional space..it moves through three separate one-dimensional spaces.
No it isn't. Particles do move through three-dimensional space. What they don't move through is
time. And when you combine space and time into spacetime, they don't move through that either. Go and read
Nasty Little Truth About Spacetime Physics to understand why motion through spacetime is as foolish as motion through a block universe.