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![]() wrote in message ups.com... .... 3) blue shift of the light when entering the gravity well of Milky Way. Do we have any clue about what 3) might be? We can measure the speeds of stars and gas clouds as they orbit the galaxy. That gives an estimate of the mass of the galaxy and its distribution. We can measure how far we are from the centre so that tells us how far into the well we lie. The blue shift, and the coordinate rate of clocks relative to an equivalent clock in inter-galactic space follow from those. George |
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John C. Polasek wrote:
There's a blue shift of 635 m/s at Sol's surface, and of 0.208 m/s at Earth's surface. Divide by c. Blueshift is a measurement of a change in frequency. A blueshift expressed as a speed doesn't make much sense. -- Erik Max Francis && && http://www.alcyone.com/max/ San Jose, CA, USA && 37 20 N 121 53 W && AIM, Y!M erikmaxfrancis Gods are born and die, but the atom endures. -- Alexander Chase, 1966 |
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wrote:
Is any one sure? After all, if we look at a distant galaxy, the spectral shift is a combination of: 1) redshift of light when leaving the gravity well of the distant galaxy 2) red or sometimes blue shift due to real movement of that galaxy relative to Milky Way 3) blue shift of the light when entering the gravity well of Milky Way. You're also missing 4. extinction (reddening) due to gas and dust, and 5. redshift due to cosmological expansion. Do we have any clue about what 3) might be? Sure; very little. To first order, gravitational redshift z for a photon starting at a distance r from a mass m and escaping to infinity is z = (G m)/(c^2 r). Thus, this would be the _blue_shift from a photon travelling from infinity to a distance r from a mass m. For our Galaxy and our location in our Galaxy, m = 2 x 10^42 kg, r = 3 x 10^20 m, so z = 5 x 10^-6. This is an utterly negligible redshift, as z is defined as z = delta lambda/lambda It means that the gravitational redshift would change wavelengths by about five parts per million. We can't usually measure wavelengths of photons that accurately anyway, so it's an important redshift. This also applies to your case 1, which is just the time reverse of the same process. What controls redshifts from intergalactic objects is peculiar motions (2) for nearby objects, and extinction and cosmological redshift (4, 5) for distant objects. Gravitational redshift is only significant if you're talking about a photon coming from very near a very massive object indeed, such as a galactic black hole, and gravitational blueshift is only significant if you're very near one of those massive objects yourself, in which case you've probably got bigger problems than observing distant galaxies. -- Erik Max Francis && && http://www.alcyone.com/max/ San Jose, CA, USA && 37 20 N 121 53 W && AIM, Y!M erikmaxfrancis Gods are born and die, but the atom endures. -- Alexander Chase, 1966 |
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Erik Max Francis wrote:
It means that the gravitational redshift would change wavelengths by about five parts per million. We can't usually measure wavelengths of photons that accurately anyway, so it's an important redshift. .... I meant "unimportant," of course. -- Erik Max Francis && && http://www.alcyone.com/max/ San Jose, CA, USA && 37 20 N 121 53 W && AIM, Y!M erikmaxfrancis Once the people begin to reason, all is lost. -- Voltaire |
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On Tue, 22 May 2007 13:43:19 -0700, Erik Max Francis
wrote: John C. Polasek wrote: There's a blue shift of 635 m/s at Sol's surface, and of 0.208 m/s at Earth's surface. Divide by c. Blueshift is a measurement of a change in frequency. A blueshift expressed as a speed doesn't make much sense. Actually redshift and blueshift are changes in wavelength not frequency. 635m/s/c is fractional increase in velocity of light and thus, lambda, from Sol's surface, Conversely it is the decrease in lambda for light reaching the sun, a blue shift. My equation for this is dc^2/2/dr = cdc/dr = MG/r^2. It defines how c accelerates away when leaving M. The reduced frequency after emission is not affected whatsoever by gravity, only the clock radiator is. John Polasek |
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John C. Polasek wrote:
Actually redshift and blueshift are changes in wavelength not frequency. Whether you express it as a change in frequency or wavelength is a matter of taste, although admittedly wavelength is more common. Frequency nu and wavelength lambda re related by lambda nu = c. 635m/s/c is fractional increase in velocity of light and thus, lambda, from Sol's surface, Conversely it is the decrease in lambda for light reaching the sun, a blue shift. Except that gravitational redshift has nothing to do with a change in the speed of light. The speed of light is always constant locally, so your approach is completely wrong. Wavelength, lambda, is measured in units of distance. Change in wavelength, delta lambda, is also measured in units of distance. The redshift parameter, defined as z = delta lambda/lambda, is a distance divided by a distance. If one prefers to talk about frequencies instead of wavelengths, then frequency nu is in inverse units of time. Change in frequency, delta nu, is also in inverse units of time. The redshift parameter is thus z = delta lambda/lambda = (c/delta nu)/(c/nu) = nu/delta nu, which is also, of course, dimensionless. None of these terms has units of speed at all. My equation for this is dc^2/2/dr = cdc/dr = MG/r^2. It defines how c accelerates away when leaving M. c does not "accelerate," so I don't know where you're getting that equation. Wavelength changes, not the speed of light. The gravitational redshift equation is (to first order) z = (G m)/(c^2 r). -- Erik Max Francis && && http://www.alcyone.com/max/ San Jose, CA, USA && 37 20 N 121 53 W && AIM, Y!M erikmaxfrancis The core of our defense is the faith we have in the institutions we defend. -- Franklin D. Roosevelt, 1940 |
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On Tue, 22 May 2007 18:02:41 -0700, Erik Max Francis
wrote: John C. Polasek wrote: Actually redshift and blueshift are changes in wavelength not frequency. snip. 635m/s/c is fractional increase in velocity of light and thus, lambda, from Sol's surface, Conversely it is the decrease in lambda for light reaching the sun, a blue shift. snip Excuse me if I feel compelled to excise your puerile and verbose primer regarding wavelength and frequency. I am well acquainted with the principles, as are others. Both Pound/Rebka and also Brault proved that there was gravitational redshift and measured it, as well as they could. There is a lot of poppycock about gravitational redshift. I have shown how it works in another thread " Relativity hypnotists explain the Pound Rebka experiment." sci.physics.relativity 5/18/2007 4:56PM. There I have reduced the whole Pound Rebka experiment to a simple table that explains my equation. You are free to insert your own numbers and present them for review. The fact is, you don't know what causes gravitational redshift. My equation for this is dc^2/2/dr = cdc/dr = MG/r^2. It defines how c accelerates away when leaving M. c does not "accelerate," so I don't know where you're getting that equation. Wavelength changes, not the speed of light. Right: E = h*nu, the energy is unaffected by gravity. The wavelength stretches on the way up at cdc/dr. The frequency started low in the well and stayed that way. The gravitational redshift equation is (to first order) z = (G m)/(c^2 r). So tell me how it works. John Polasek. |
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: John C. Polasek
: The fact is, you don't know what causes gravitational redshift. Gravity. So, you are another of the multitude that conclude Einstein got it all wrong, and the speed of light isn't invariant after all? Just to be clear what position you're staking out. Wayne Throop http://sheol.org/throopw |
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