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When it comes to a red or blue shift you could think of it as a comparison between frames of reference, because that is what it is. If a photon had a 'proper frame of reference' I think it would be, as Ethan states, 'time less', and it wouldn't change 'energy' intrinsically either. That last one should be able to be tested by knowing the source and then introduce gravity, a mass, between the source and yourself. Move the measuring device so that the mass no longer is in the path of the propagation and then compare the energy between photons. If they are the same then it didn't change anything for that photon deviating by a gravitational potential.
Noether’s theorem relies on symmetry, which is a condition in reality doesn’t occur in many situations, for example we don’t have such symmetry on the surface of the earth and therefore our atmosphere doesn’t have such symmetry as per Noether’s theorem.Hence momentum is continually created in this location, due to the non inertial conditions.
Again, for a local closed system, momentum is conserved and it is stated like it is for energy./quote]
Now if we use this arrangement and measure a photons energy/colour from a distance source with no mass between the source and observer, and then compare it to the colour to one with a photon that had passed by a mass that had traversed between the two points, ( ignoring the deflection due to change in direction due to the field )in this scenario we will end up with both parts of the Harvard tower experiment.
IE we would have the blue shift of the photon as it traveled towards the mass and red shift as it traveled away.So no change in colour detected by the observer even though it could be argued the colour had indeed changed towards blue and back to original colour as it passed by the mass.
However if the said mass was spinning at a reasonable velocity I think it would be reasonable to assume the red/blue shift would not be equal and the observer would detect an aspect of whats under discussion.
Given we cannot observe energy being created on earth but can observe the creation of momentum.
So, in the “reference frame of the photon”
it is at rest
and the bottom of the tower is rushing up to meet it
Not really since there is no measurement taken near said mass. You're giving classic properties to what is a quantum thing. It is better to speak of a classic pulse of light rather than a photon since the latter does not have a position, path, or energy except when measured, and the former has all these things.
No, not even then.
As long as we restrict ourselves to purely mechanical processes in the realm where Newton's mechanics holds sway, we are certain of the equivalence of the systems K and K'. But this view of ours will not have any deeper significance unless the systems K and K' are equivalent with respect to all physical processes, that is, unless the laws of nature with respect to K are in entire agreement with those with respect to K'. By assuming this to be so, we arrive at a principle which, if it is really true, has great heuristic importance. For by theoretical consideration of processes which take place relatively to a system of reference with uniform acceleration, we obtain information as to the career of processes in a homogeneous gravitational field.
Did I miss something? Momentum is conserved in a closed system (inertial coordinates), so creation of momentum could be used to generate a perpetual motion machine.
Then my previous comments of a rotating mass (accelerated motion) have electromagnetic pass by, at say above its equator in either direction there would a delta in the values of interaction of the electromagnetic radiation with the gravitational field/spacetime.
I'm afraid Colin was very specific as was I.
you do not have a closed or inertial system
If the system is not closed, then momentum is being imported from outside, which is not the creation of momentum, merely the transfer of it. You seem to assert that it can be 'created'.I say 'inertial system' because momentum is not conserved in many non-iniertial coordinate systems. For instance, relative to the comoving coordinate system, a rock moving at a peculiar velocity of 1000 m/sec will slow continuously in the absence of a force acting on it, losing both momentum and energy, neither of which are conserved in such a coordinate system.
does gravitational lensing alter in this scenario ?
no closed system and No symmetry FACT
You realize all this ......
use one reference frame to try to ascertain whether the photon actually loses/gains energy or if its just frame dependent.
in this scenario we will end up with both parts of the Harvard tower experiment.IE we would have the blue shift of the photon as it traveled towards the mass and red shift as it traveled away.So no change in colour detected by the observer even though it could be argued the colour had indeed changed towards blue and back to original colour as it passed by the mass.However if the said mass was spinning at a reasonable velocity I think it would be reasonable to assume the red/blue shift would not be equal and the observer would detect an aspect of whats under discussion.
So please be more concise and identify a system that can change its own system momentum without import of momentum from outside the system.
An inertial reference frame is an abstract choice and can be pretty much applied locally to anything, as a coordinate frame to anything, or to anything at all with gravity ignored. Hence your first and third FACTs seem not to be facts at all since I can effortlessly think of counterexamples.