RC
You, too. Address my illustration.
My whole point was to observe that the clocks varied in time rates. That direct observation implied that the light between the mirrors moved across energy-space differently compared to each others location in GR context. Period.
The whole point is that a photon takes longer to travel a bent path through spacetime at c than it would to go straight between the same two points(coordinate distance), and that gravity bends spacetime in proportion to the strength of the gravity field. The two clocks see different gravity field strength, the spacetime bends more in the lower clock, so it registers slower clicks.
Energy-space is an oxymoron, stop using it, it makes you look ignorant.
Whatever 'interpretation' is to be put upon the REASON why that differing light motion/rate is what the discussion between Farsight and you et al is all about.
The light moves at c. It is only the coordinate speed that changes, not the speed of the light c. Just like every one of the non-cranks have been saying. Farsight has been wrong from the start, he rejects both postulates of Relativity.
Your contention is 'spacetime path contraction' or some such abstract 'spacetime' construct-based 'interpretation of the REAL DIRECT OBSERVABLE FACT that the clocks DO indicate the light IS moving differently compared to the other clock.
No, light always travel exactly at c in all frames, between all frames and from all frames. Period. It is the coordinate speed that changes because
light takes the bent path of spacetime not the straight path between those same coordinates, the bent path is longer the further into a gravity field you go. But light travels at c all the way down. Spacetime is a real thing in the Universe, it actually affects reality. The theory of Relativity is not an
interpretation, it is a
description of the real behavior of the Universe itself and the interaction of it's properties. Constant lightspeed is so well established that no one has yet made a portable instrument to measure it, it would only indicate one speed(no matter how accurate you make it)in all circumstances(IE it would be useless).
Farsight says that it is light speed that slowed.
Yes, and that means Farsight doesn't know a damn thing about physics or Relativity(not to mention the history of the investigation of light).
So your discussion is at the stage of you and he trying to support your respective 'interpretation' of the observed light behavior variation.
When your "interpretation" requires the violation of a well established physical fact(c), your interpretation immediately and completely fails(at least as a description of reality). Our description of the Universe is valid, it explains the time dilation without violating that well established physical property. In fact, the whole of Relativity came into being to explain that well established fact(c). Constant lightspeed is the basis for Relativity. Relativity explains that fact.
In the real GR case before you of the two clocks in the room you are standing in, there are no '[measured' sped of light.
The clock is based on the
coordinate speed of light between two mirrors, it is the operating principle of the clock.
That is what the clock measures. It is the differences in the coordinate speed between those two mirrors that causes the slower clock. So,the only thing we are talking about is
that coordinate speed between the mirrorsand
the actual speed of light.
Farsight says that they are the same, that light slows down. Well, in physics in general and in Relativity we have known that light only travels at c for almost two hundred years, with not one instance in all that time where that has been shown NOT to be true.
Farsight is therefore wrong, the actual speed of light does not slow down, he's missing something in his understanding. Einstein says light travels the zero energy geodesic through spacetime, if spacetime is bent, so is a photons path. Gravity bends spacetime and light follows that bent path, which is longer than the straight coordinate path, thus the clock slows down under acceleration because the spacetime it is in gets bent more.
The coordinate speed of light gets slower even though
the actual speed of light through spacetime does not change, it remains c.
Bent spacetime due to gravity doesn't just affect clocks, we use it as a lens to see distant galaxies. Interestingly, this setup above also illustrates the difference between coordinate speed and lightspeed through bent spacetime. The starlight passing straight through the galaxy cluster will arrive very close to the coordinate speed between Earth and the most distant blue galaxy, while the bent spacetime paths on either side of the center galaxy cluster will be time delayed due to their light having traveled a longer path through bent space, even though the light itself traveled all three paths at exactly c. The time differences will give you a very accurate measurement of the mass in the galaxy cluster doing the lensing. The time delays between the center one and the outer ones will then give you a very accurate distance to the further galaxy, using calculus that Newton could do. In Cosmology our clocks are huge. Earth replaces the detector and the distant blue galaxy replaces the emitter, the galaxy cluster is the acceleration and the difference between the times is caused by the same effect as happens in our clock.
You can even see the bent spacetime, curved by the gravity field and illuminated by the lensed light passing through it that focuses on Earth.
Notice all those bent arcs? Illuminated bent spacetime.
Grumpy