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Is there any chance that you could answer the question I posed?I am (have been for a long time) interested in understanding if a clock that shifts to a higher frequency in a higher gravity potential compared to a lower gravity potential (within the mathematical framework of GR) is shifting to the same magnitude as a photon shifts to a lower frequency when moving from the same lower potential to the same higher potential (within the mathematical framework of GR)...
:wikiZero-point energy (ZPE) or ground state energy is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly fluctuate in their lowest energy state due to the Heisenberg uncertainty principle.[1] As well as atoms and molecules, the empty space of the vacuum has these properties. According to modern physics the universe can be thought of not as isolated particles but continuous fluctuating fields: matter fields, whose quanta are fermions (i.e. leptons and quarks), and force fields, whose quanta are bosons (e.g. photons and gluons). All these fields have zero-point energy.[2] These fluctuating zero-point fields lead to a kind of reintroduction of an aether in physics,[1][3] since some systems can detect the existence of this energy. However this aether cannot be thought of as a physical medium if it is to be Lorentz invariant such that there is no contradiction with Einstein's theory of special relativity.[1]Physics currently lacks a full theoretical model for understanding zero-point energy, in particular the discrepancy between theorized and observed vacuum energy is a source of major contention.[4] Physicists Richard Feynman and John Wheeler calculated the zero-point radiation of the vacuum to be an order of magnitude greater than nuclear energy, with one teacup containing enough energy to boil all the world's oceans.[5] Yet according to Einstein's theory of general relativity any such energy would gravitate and the experimental evidence from both the expansion of the universe, dark energy and the Casimir effect show any such energy to be exceptionally weak. A popular proposal that attempts to address this issue is to say that the fermion field has a negative zero-point energy while the boson field has positive zero-point energy and thus these energies somehow cancel each other out.[6][7] This idea would be true if superstring theory were an exact symmetry of nature. However, the LHC at CERN has so far found no evidence to support supersymmetry. Moreover, it is known that if supersymmetry is valid at all, it is at most a broken symmetry, only true at very high energies, and no one has been able to show a theory where zero-point cancellations occur in the low energy universe we observe today.[7] This discrepancy is known as the cosmological constant problem and it is one of the greatest unsolved mysteries in physics. Many physicists believe that "the vacuum holds the key to a full understanding of nature"
Quote from: timey on 09/07/2017 22:10:11Is there any chance that you could answer the question I posed?I am (have been for a long time) interested in understanding if a clock that shifts to a higher frequency in a higher gravity potential compared to a lower gravity potential (within the mathematical framework of GR) is shifting to the same magnitude as a photon shifts to a lower frequency when moving from the same lower potential to the same higher potential (within the mathematical framework of GR)...We've been round this loop several times before. Yes, the gravitational effect on clock synchronisation is exactly the same as on photon frequency, as predicted and measured.
Zero point energy
Quote from: jeffreyH on 06/07/2017 17:36:17Ok so let's think about the maximum wavelength. That implies an infinite length. That equates to a frequency of zero or maybe undefined. Let's think about a minimum wavelength. It can't be zero because of zero point energy. This all implies some limit on the range.Well spot the stupid mistake. Zero point energy relates to an infinite wavelength. A wavelength approaching zero is also approaching infinite energy. And no one spotted THAT?
Ok so let's think about the maximum wavelength. That implies an infinite length. That equates to a frequency of zero or maybe undefined. Let's think about a minimum wavelength. It can't be zero because of zero point energy. This all implies some limit on the range.
Zero-point energy (ZPE) or ground state energy is the lowest possible energy that a quantum mechanical system may have.
BTW - How to I do a "Thank you" for a post? I can't see a link to do it with.
Quote from: jeffreyH on 11/07/2017 19:02:36Zero point energy Quote from: jeffreyH on 11/07/2017 19:02:36Quote from: jeffreyH on 06/07/2017 17:36:17Ok so let's think about the maximum wavelength. That implies an infinite length. That equates to a frequency of zero or maybe undefined. Let's think about a minimum wavelength. It can't be zero because of zero point energy. This all implies some limit on the range.Well spot the stupid mistake. Zero point energy relates to an infinite wavelength. A wavelength approaching zero is also approaching infinite energy. And no one spotted THAT?Zero point energy does not mean that a particle has zero energy. It means that its lowest energy a system can have. See:https://en.wikipedia.org/wiki/Zero-point_energy#Redefining_the_zero_of_energyQuoteZero-point energy (ZPE) or ground state energy is the lowest possible energy that a quantum mechanical system may have.
:timey post 23So - I take it from your answer that you are telling me that when subject to the same differences in gravity potential, that the gravitational shift of electron transitions and the gravitational shift of photons are equal in magnitude.On the basis that we just look at this as a logical venture rather than a text book quotation, now I would like you to consider 'where' these observations are taking place:The gravitational shift in electron tansitions will be obseved to be of a higher frequency in the higher potential than the electron transitions observed in the lower potential, 'from' the lower potential.The gravitational shift in photons will be observed to be of a lower frequency than they were observed to be in the lower potential, 'in' the higher potential.Photons cannot be observed unless they are 'in' the observers reference frame.Electron transitions can be observed 'in' another reference frame 'from' the observers reference frame.A clock shifts to a higher frequency 'in' the higher potential. If we go to this higher potential the clock apears to be ticking normally, but this is because 'in' the higher potential we won't be measuring the electron transitions of this clock from the clock with the lower frequency 'in' the lower potential.The light in the lower potential is measured via the clock with a lower frequency of electron transitions.The light in the higher potential is measure via the clock with a higher frequency of electron transitions....Yet the light measured in the higher potential via the clock with the higher frequency of electron transitions has a lower frequency than the light measured in the lower potential via the clock with the lower frequency of electron transitions.In the framework of GR, the clock's electron transitions are shifting to higher frequencies in the higher potential. (time gets faster at elevation)In the framework of GR, the photon is shifting to a lower frequency in the higher potential 'according' to the clock in the higher potential.If the magnitude of the shifts of both electron transitions and photons is equal, then has the light actually shifted frequency?
:timey post 26To continue from post 23:The clue: (time gets faster at elevation).If the clock's electron transitions are increased in frequency because time is running faster at elevation, then the light measured at elevation will also have increased in frequency as the clock's electron transitions have, but this increase in frequency has been gravitationally shifted to a lower frequency.Logically speaking, the gravitational shift of the light and the gravitational shift of the electon transitions of the clock are not going to 'actually' be equal and opposite, the light has shifted twice as much as the clock has.
:AlanOh dear. Here we go again. The clock at altitude appears faster to an observer on the ground. Fact.The photon emitted at altitude appears blueshifted to an observer on the ground. Fact.Same phenomenon, same equation.
:AlanThe clock at altitude appears faster to an observer on the ground. Fact.
:AlanThe clock at altitude appears faster to an observer on the ground. Fact.The photon emitted at altitude appears blueshifted to an observer on the ground. Fact.Same phenomenon, same equation.
My déjà vu is having déjà vu.
Just stick to simple and factual. Everything works normally when viewed from the same gravitational potential. But if the observer is at a lower potential than the source, the source appears blue shifted, whether the source is an atomic clock (low energy photon) or a mossbauer (high energy) photon. These are experimental facts. A simple mathematical model is that spacetime is warped by gravity.
Everything works normally when viewed from the same gravitational potential
But if the observer is at a lower potential than the source, the source appears blue shifted, whether the source is an atomic clock (low energy photon)
or a mossbauer (high energy) photon
These are experimental facts. A simple mathematical model is that spacetime is warped by gravity.
AbstractSchild’ has proposed a heuristic agrument which attempts, to show that any gravitational red shift requires that the geometry of space−time be curved. It is our intention to show that this argument is fallacious and we believe that no argument which attempts to infer space−time curvature solely from the gravitational red shift can be valid.Does a gravitational red shift necessarily imply that spacetime is curved? by G.E. Marsh and C. Nissim-Sabat. Am. J. Phys. Vol. 43, No. 3, March (1975)
Ah Pete - I'm not sure if you are actually observing my posts or not (you keep saying that you have placed me on ignore) - but I cannot thank you enough for posting this excellent link!http://www.geocities.ws/physics_world/gr/grav_red_shift.htm