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Is the classical calculation of the sun bending light wrong?


Lazarus

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The whole article is questioning the validity of the bending of the light

passing the sun as a proof of General Relitivity.

 

No it isn't. You should try rereading it. It takes a shortcut by using the fact that the non-Newtonian additional deflection is due to spacial curvature, and the factor contributing to the extra gravity is the same as the Doppler-shift factor.

 

Also, there's no such thing as a "proof" of a theory. This is science, not math.

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To accommodate the conservation of energy, when a photon moves from one gravitational level to another, something must change. The simplest solution is a change to the speed of the photon and there is evidence that it does change. The difference in the speed is hardly noticeable because the change in latent energy pales in comparison to the kinetic energy at the speed of the photon.

 

Since the speed of photons is related to the gravitational latent energy, the only place the base speed of photons can be determined correctly is at a location with zero gravity, the value of c could have been measured wrong on Earth. We talk about the speed of light in a vacuum but did we take zero gravitational force into account?

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You get a red or blue shift for a photon that changes height. Confirmed with the Pound-Rebka experiment

 

A faster photon would have more energy as does the blue shifted photon. Does the photon maintain the same speed or does it share the energy with the blue shift or even cause the blue shift?

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  • 2 weeks later...

In trying to make sense of the light bending I wound up with a confusing example.

 

The situation is one guy standing still and another guy running up from behind. Just as the two guys are side by side, light arrives from a distance.

 

One guy says the light is red but the other guy says it is blue. (He runs pretty fast.)

 

Now regardless of the “frames” the light travels at c in relation to both guys.

 

How can we account for the blue shift?

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Classically, you can view it as the runner encountering the waves faster because he is running through them.

 

Or, you can think of it in terms of energy. If it were a tennis ball, they would disagree with the kinetic energy the ball has. Similarly, they disagree about the amount of energy the photons have; in other words, different frequency.

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What do you mean.

 

Almost everything is “not an invariant quantity.”. Dust on the floor is “not an invariant quantity.”.

 

"Invariant" means "the same value in all reference frames." The number of dust particles on the floor actually is an invariant quantity. The energy of a particle is not. Energies depend on your reference frame.

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"Invariant" means "the same value in all reference frames." The number of dust particles on the floor actually is an invariant quantity. The energy of a particle is not. Energies depend on your reference frame.

 

I failed to realize the specialized use of invariant.

 

 

4895709132f56017896e2f3e511000af-1.png

Does this equation give the correct path for a comet passing the sun?

 

 

You get a red or blue shift for a photon that changes height. Confirmed with the Pound-Rebka experiment

 

 

The Pound-Rebak experiment has two possible explanations.

 

The photon accommodates the latent energy change by increasing its energy resulting in the observed blue shift.

 

Or the alternatively, the resonate frequency of the iron atoms is different because of the different gravitational potential. The photon is unchanged but the resonate frequency doesn’t match.

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I failed to realize the specialized use of invariant.

 

 

4895709132f56017896e2f3e511000af-1.png

Does this equation give the correct path for a comet passing the sun?

 

In the context of relativity, which is what we're discussing, "invariant" is synonymous with "the same in all reference frames."

 

That equation is in my signature, it has nothing to do with this thread.

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I failed to realize the specialized use of invariant.

 

 

4895709132f56017896e2f3e511000af-1.png

Does this equation give the correct path for a comet passing the sun?

 

 

 

 

The Pound-Rebak experiment has two possible explanations.

 

The photon accommodates the latent energy change by increasing its energy resulting in the observed blue shift.

 

Or the alternatively, the resonate frequency of the iron atoms is different because of the different gravitational potential. The photon is unchanged but the resonate frequency doesn’t match.

 

This is why it is important in science to not focus too narrowly on a problem, because all phenomena must match a theory — everything in physics is related to something else in physics. If the photon frequency doesn't change, for example, you violate conservation of energy, so now you have to fix that, and anything else that breaks as a result. It all tumbles down like dominos.

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This is why it is important in science to not focus too narrowly on a problem, because all phenomena must match a theory — everything in physics is related to something else in physics. If the photon frequency doesn't change, for example, you violate conservation of energy, so now you have to fix that, and anything else that breaks as a result. It all tumbles down like dominos.

 

 

Damn, you are good at hitting the essense of the problem.

 

The consevation of energy is the best argument against

choice number two.

 

However, an argument can be made that conservation of

energy is not violated because if speed of the photon

can not be increased or decreased by gravity there is

no energy required for it to escape gravity.

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swansont Posted 14 October 2014 - 02:40 AM

Energy is not an invariant quantity. No "accounting" necessary.

 

.................................................................................................

 

 

The variability of energy is an interesting but confusing concept.

 

In the example of the two guys, one stationary and the other moving, the photons appear to each of them as arriving at the same speed. Therefore, the frequency should appear the same to both of them. But it doesn’t. One is blue shifted. So what is the reason for the blue shift?

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swansont Posted 14 October 2014 - 02:40 AM

Energy is not an invariant quantity. No "accounting" necessary.

 

.................................................................................................

 

 

The variability of energy is an interesting but confusing concept.

 

In the example of the two guys, one stationary and the other moving, the photons appear to each of them as arriving at the same speed. Therefore, the frequency should appear the same to both of them. But it doesn’t. One is blue shifted. So what is the reason for the blue shift?

 

 

Frequency of a wave is not the same as speed of a wave. The frequency is how many times it oscillates per second. The speed is how fast it travels. Two waves can have the same speed and different frequency.

 

The fact that energy is not an invariant quantity is not new. This was obvious even in Newtonian physics. For example: if you toss a ball it will have some kinetic energy. But in the ball's rest frame it has zero kinetic energy. Thus energy is not invariant.

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Frequency of a wave is not the same as speed of a wave. The frequency is how many times it oscillates per second. The speed is how fast it travels. Two waves can have the same speed and different frequency.

 

The fact that energy is not an invariant quantity is not new. This was obvious even in Newtonian physics. For example: if you toss a ball it will have some kinetic energy. But in the ball's rest frame it has zero kinetic energy. Thus energy is not invariant.

 

In the blue guy's rest frame the photons look the same to him as the red guy's do to him. Why are the blue guy's photons blue?

I know this is similar to the last question but I can't see how that explains it.

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In the blue guy's rest frame the photons look the same to him as the red guy's do to him. Why are the blue guy's photons blue?

I know this is similar to the last question but I can't see how that explains it.

 

Because they have different energy according to blue guy and red guy. (I feel like we're going in circles here.)

 

Say Alice is moving relative to Bob. Bob tosses a ball in the direction Alice is moving. In Alice's rest frame the ball has less energy than in Bob's rest frame. It's the same situation, only with light. It doesn't matter that the light moves at the same speed relative to Bob and Alice, they still report different energies because the energy of a photon isn't related to its velocity! It's only dependent on its frequency, which can be different for two waves that move at the same speed.

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swansont Posted 14 October 2014 - 02:40 AM

Energy is not an invariant quantity. No "accounting" necessary.

 

.................................................................................................

 

 

The variability of energy is an interesting but confusing concept.

 

In the example of the two guys, one stationary and the other moving, the photons appear to each of them as arriving at the same speed. Therefore, the frequency should appear the same to both of them. But it doesn’t. One is blue shifted. So what is the reason for the blue shift?

 

 

The Doppler effect

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The explanations from all the posters have been clear, logical and easy to understand but the answers to the last question don’t appear to meet that standard.

 

But never mind, let’s see how Newton would have done the calculation if he had been informed of the results of modern experiments, that the speed of light in a vacuum had been determined to high precision, that light traveling from Earth to Venus and back took longer than expected, that mass was related to energy, that the frequency of light changed with changes in gravitation potential, that matter is constrained to the speed of light, that light can be treated as a collection of particles and that the path of light changes while passing a massive body.

 

A reasonable assumption from the Venus experiment is that light slows as it encounters increasing gravitational potential.

 

Since light slows while approaching a mass is opposite from what would be expected the potential energy change must be accounted for by an increase in internal energy which is reflected in the frequency.

 

The bending of the path of light by a mass requires that the internal energy increase be twice the loss of kinetic energy of the light.

 

The slowing of the speed of the light causes the amount of bending to be more that if the speed of the light stayed constant or increased as do masses.

 

That should make the calculations give the same result as my friend Albert’s equations.

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Should make or does make?

 

 

If you would be satisfied that there is a correct solution to the bending of light by the sun from these assumptions which does not require the Relativistic assumptions, I will construct an equation even though I can’t even remember how to spell kaculus much less how to use it. Most of the posters on this forum could do it with these assumptions over a hot beer.

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