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On Nov, 8, 2003, Harry (Tom Roberts' student) wrote in
sci.physics.relativity: Pound-Rebka (Snider). The higher clock measures frequency as less. Its clockrate is greater by the same amount to reconcile this. Why should light lose energy between FOR's. The same energy is accounted for "fully" by the clockrates that measure it. The textbook statement "AND light loses energy" is mixing FOR's. I have read this before, in more detail by Ron Hatch, if I remember well he concluded the same, as the GPS measurements obviously validate the frequency effect, leaving zero for the energy loss effect; and conservation of cycles also forbids the energy loss hypothesis. Tom Roberts (the Albert Einstein of our generation) replied: I don't know what you are asking (if anything). But the Pound & Rebka and Pound & Snider experiments clearly show that the frequency of an emitted light beam as measured by a receiver depends upon the respective heights of emitter and receiver in the gravitational field of the earth. This can be interpreted in several different ways: 1. Light loses energy as it rises, and gains energy as it falls down; because for light E=hf this affects its frequency. This is in direct analogy with massive particles (in that they gain/ lose energy as they fall/rise), But from other experiments (e.g. rotating moessbauser experiments) it is clear that this is not the whole story. 2. Clocks tick slower when they are lower in a gravitational field than when they are higher. This is the typical elementary explanation. But from other experiments it is clear that this is not the whole story. 3. Spacetime is curved in accordance with Einstein's field equation, and light rays follow null geodesics. This is the GR approach, and it also explains the other experiments. In the non-quantum domain so far this seems to be the whole story. While it is not clear to me what the above-quoted statements are tying to say, it appears to me they are attempting to mix (1) and (2), and as a result get confused. In (1) and (2) you have to choose whether clocks are affected, or whether light is affected; assuming both just leads to confusion (as above). But once you choose, it is then quite easy to get confused when looking at other situations; (3) does not have this drawback -- NEITHER light nor clocks are affected by gravitation, but there is curvature that affects how different measurements relate to each other. GR (3) also has the virtue of being quantitative, general, and in incredibly-accurate agreement with all reproducible experiments within its domain of applicability. Tom Roberts ___________________________________________ [End of Tom Roberts' explanation] Let me call the attention to two important points: A. In discussing (1), Tom Roberts obviously thinks of the formula frequency = (speed of light)/(wavelength) However Roberts does not mention "speed of light". Why? B. Roberts is right about the incompatibility of (1) and (2). That is, the measured frequency variation is due either to the variation of the speed of light in a gravitational field (confirmed by Einstein and many relativity hypnotists) or to gravitational time dilation, but by no means to both. In other words, if the speed of light "varies with position" in a gravitational field, there is no gravitational time dilation. Pentcho Valev |
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