Azzam,

Lorentz transformations are the base of the Relativistic Doppler effect this way they are not reversible in principle.

If I apply them physically back and forth with real radiation for a sufficiently number of times, I destroy the physics of both the systems.

In order to make them work properly in a real quantum physical situation, I should use the vector potential like in the Aharanov Bohm experiment not the actual EM radiation or fields which always carry energy-momentum.

Stefano

Dear Stefano,

I found according to this transformation all the problems in physics are solved, specially in the equivalence principle and quantization of gravity. 

Franson calculated that, treating light as a quantum object, the change in a photon's velocity depends not on the strength of the gravitational field, but on the gravitational potential itself. However, this leads to a violation of Einstein's equivalence principle – that gravity and acceleration are indistinguishable – because, in a gravitational field, the gravitational potential is created along with mass, whereas in a frame of reference accelerating in free fall, it is not. Therefore, one could distinguish gravity from acceleration by whether a photon slows down or not when it undergoes particle–antiparticle creation.

In the equivalence principle of my theory http://dx.doi.org/10.14299/ijser.2014.10.002 , the time dilation of the clock on the earth surface is produced as the clock on the ground is moving with speed equals to the escape velocity given according to eq. (6.1.8), which is agreed completely with the core of the The Pound-Rebka experiment. Proponents of the theory of General Relativity offer three different conflicting explanations of the results of the The Pound-Rebka experiment that are said to be equivalent to each other and therefore all equally correct. All make the claim that the results of the Pound-Rebka Experiment are “proof” of the Equivalence Principle even though nothing in these measurements suggests any need for the Equivalence Principle.

Also this transformation leads to the wave-particle duality and Heisenberg uncertainty principle, where it proves they are one thing.

Also 

Aether field rejected by Michelson Morley experiment in 20th century, but now in 21st century Higgs field is accepted. Why is that?

Are the aether and Higgs fields equivalent? If yes, how can we accept it in the light of Michelson-Morely experiment? If not, in which manner are these two fields different? which is agreed with this transformation.

Also the Pioneer anomaly and the energy-momentum problem in gravity are solved.... there are more and more. I found all the problems are solved according to transformation. Review the recent papers;

http://physicsworld.com/cws/article/news/2014/jul/28/new-correction-to-speed-of-light-could-explain-sn1987-neutrino-burst

http://www.sciencedaily.com/releases/2014/12/141219085153.htm?utm_source=feedburner

https://www.sciencenews.org/article/speed-light-not-so-constant-after-all

"However, this leads to a violation of Einstein's equivalence principle – that gravity and acceleration are indistinguishable – because, in a gravitational field, the gravitational potential is created along with mass, whereas in a frame of reference accelerating in free fall, it is not."

Yes I know... it is in "Principle" possible to be violated with awful drawbacks for SEP GRT.

"All make the claim that the results of the Pound-Rebka Experiment are “proof” of the Equivalence Principle even though nothing in these measurements suggests any need for the Equivalence Principle."

because ligth does not fall in a graviational field like matter does.. the P&R is a proof of the Clock Hypothesys that's all. If you read the Pound and Snider experiment you see what they applied...

"Aether field rejected by Michelson Morley experiment in 20th century, but now in 21st century Higgs field is accepted. Why is that?"

Because the Aether was a 3 dimensional medium, Higgs field is not a matter field, it is a particular energy homogeneous entity which allows for oscillation of other "small entities" . As a consequence of their reciprocal resonance fermions come out and the energy of the transitories (waves) photons is limited to have a finite speed c.

Dear Stefano Quattrini , 

Dear Aleksei Bykov,

Dear Özlem Yeşiltaş,

I found the problem between quantum and relativity arises from objectivity in Einstein's interpretation of the Lorentz transformation. By refusing objectivity as in my transformation we can solve all the problems in physics. According to my transformation you get

1- It is vacuum energy dependent instead of relative velocity, and it leads to the wave-particle duality and Heisenberg uncertainty principle.

2- According to my transformation  when we talking about acceleration we talking about four vector, the source of which is the four-current, a first-rank tensor, which means photon mediates gravitation, where the concept of acceleration in my transformation is vacuum fluctuations.

3- In my transformation I refuse the reciprocity principle which was adopted by Einstein in the SRT. Refusing the reciprocity principle in my theory leads to disappearing all the paradoxes in the SRT; the Twin paradox, Ehrenfest paradox, Ladder paradox and Bell's spaceship paradox.

4- In my transformation there is no space-time continuum, it is only time, which means time dilation leads to measure a decrease in the speed of light, and time contraction which leads to the possibility of measuring faster than light. According to my transformation space is invariant. Thus according to my transformation I could reconcile and interpret the experimental results of quantum tunneling and entanglement (spooky action), —Casimir effect, Hartman effect.

Dear Stefano Quattrini.

According to your comment "Higgs field is not a matter field, it is a particular energy homogeneous entity which allows for oscillation of other "small entities" . As a consequence of their reciprocal resonance fermions come out and the energy of the transitories (waves) photons is limited to have a finite speed c".

My transformation is agreed completely with what predicted in Higgs field, since there is no space-time continuum, it is only time, and space is invariant. Also my transformation agrees completely with the negative result of the Michelson-Morley experiment.

In this case we can define the concept of force in terms of frequency, (energy), In this case we get the concept of force as quantized and relativistic, and by my new equivalence principle we get the quantized relativistic inertial force and then the quantized relativistic gravitational force. The meaning of quantized relativistic gravitational force means, the escape velocity of the free fall object is relativistic not classical, and in the case of weak gravitational field it is approximated to classical.

My quantization of gravity agreed completely with the Franson's calculations, that the decrease in the speed of light depends on the gravitational potential itself. Also it agrees completely with the Pond-Rebka experiment.

According to Einstein interpretation of Lorentz transformation we can't understand 

Is Lorentz symmetry conserved for all velocity ranges? I want to know whether Lorentz symmetry is conserved for all the velocity ranges or not? Is the Lorentz invariance completely related to Lorentz symmetry; i.e. if Lorentz symmetry conserved then Lorentz invariance is also conserved or there are certain conditions where the Lorentz invariance conserved while Lorentz symmetry is not? what are they if there are such conditions. But now every thing become clear and very simple according to my transformation. And there are more and more. But first let's discuss these points. Please review my paper below. Thus According to my transformation and the quantization of gravity:

Can zero point energy explain the rotation curve of a typical spiral galaxy: the 'flat' appearance of the velocity curve out to a large radius? 

If Lorentz transformation equations is vacuum energy dependent which lead to the wave-particle duality and Heisenberg uncertainty principle, and then photon mediates gravitation according to this transformation and the new equivalence principle in which acceleration equivalent to vacuum fluctuations. The uncertainty principle requires every physical system to have a zero-point energy greater than the minimum of its classical potential well. Thus the zero point energy explains the rotation curve of a typical spiral galaxy: the 'flat' appearance of the velocity curve out to a large radius. 

http://dx.doi.org/10.14299/ijser.2014.10.002

https://www.researchgate.net/post/Can_zero_point_energy_explain_the_rotation_curve_of_a_typical_spiral_galaxy_the_flat_appearance_of_the_velocity_curve_out_to_a_large_radius2

Dear Azzam,

I have a question about your theory: how can a "thing" be at one place (moving observer) and at another one too (ground observer) different of the first one AT THE SAME TIME?

How do you explain when causality of an "event" acts on this "thing"?

Dear Ni Ge,

Existing an object in two states at the same time for an observer outside the system was verified experimentally by a team of scientists that has succeeded in putting an object large enough to be visible to the naked eye into a mixed quantum state of moving and not moving. Review the reference ( Scientists supersize quantum mechanics, Nature,doi:10.1038/news.2010.130 ).

As I informed you before my transforms leads to the wave-particle duality and Heisenberg uncertainty principle. The equation of motion for the moving train according are controlled by the Schroedinger equation as I mentioned before. In law velocities in the macro world the length contraction and time dilation is negligible, because of that the concept of quantization is disappeared. But in case of high velocity near the speed of light in the macro world, the concept of quantum is appeared and the wave-particle duality and Heisenberg uncertainty principle working.

My transforms are vacuum energy energy dependent. Now According to my transforms, the concept of acceleration or deceleration is vacuum fluctuations which is quantized and controlled by Schroedinger equation. That means it is transition  from state to state. Review my question related to acceleration or deceleration below to understand what I meant by this question. 

Now suppose a moving train in constant speed v. Then the moving train is in quantum state of motion. Now when the train stopped it means, it is transited from the state of motion to the state of stationary. While the train is in motion it owns a kinetic energy Ek , which is hf, and when the train stopped it is lost the kinetic energy Ek, where Ek=0.  Now for the observer who is in the moving when the train stopped, this process is happened in a zero time separation and in this case, he will find him is two states at the same time a state of motion and a state of stationary. According to the concept of the length contraction in my transforms, these two states are separated by a distance depending on the length contraction, which is related to time dilation. Because of that the observer on the moving train will see his train as it is exited in two places at the same, where he sees his train as it is  transformed from point A to point B in a zero time separation, and then after that he will find his train in point B. In this case there is violation of causality...why? Because the motion of the moving is in reference frame of the ground locally. Now for an observer on the ground the moving train is not transformed from point A to B in a zero time separation. The train was normally moving on the ground and when the train arrived point B stopped. Now according to the clock of the moving train, when trying to compute the velocity of the train when it stopped at point B depending on the passed distance and time, if the train was moving in a speed v near the speed of light, then you will find as train was moving in a speed faster than light because of time dilation of the clock of the moving train. But according to the clock of the ground the train was moving in same speed v which is less than the speed of light in vacuum. So locally according to the clock of the ground it is impossible exceeding the speed of light in vacuum. So according to my theory in the case of measuring faster than light globally which is depending on the negativity of the vacuum, there is no violation of causality or Lorentz invariance, because, Locally there is no violation causality or Lorentz invariance. But that depends  on observation. That illustrates to you how quantum entanglement can be interpreted by the event happened  in the past.

https://www.researchgate.net/post/What_is_the_concept_of_acceleration_or_deceleration_according_to_quantum?_tpcectx=qa_overview_following&_trid=550e18bfd039b1ee0c8b46d1_

According to your theory, there must be Multivers. Why not? I think I prefer to accept it, than admit Einstein is right. For ether theory, I wait for proofs.

Erratum: because of aberration of light in your theory, space continuum should not be violated!

You invented a sort of ether theory where ether has the particularity to deform lengths and time.

Dear Azzam,

LT consider IRFs. Exchanging radiation, systems are not exactly IRFs anymore. The symmetry is lost at least in a finite number of short intervals. This is what makes for all the difference. It is not in general correct to apply LT in real cases. I will give you more details in the next days. 

Dear Stefano,

Why you proposed symmetry is lost in a finite number of short interval? Is not Bond and Rebka illustrated that the time dilation in gravitational field is equivalent to the particle as moving with speed equals to the escape velocity at any point in space depending on the potential at any point in space? This was proved also in Franson's calculations in http://physicsworld.com/cws/article/news/2014/jul/28/new-correction-to-speed-of-light-could-explain-sn1987-neutrino-burst

If you connect the Pond and Rebka experiment with Franson's calculations, that means Lorentz transformation must depend on the escape velocity at any point in space depending on the potential energy of gravitational at any point in space for the free fall object. Thus Lorentz transformation is linear at any point in space for a free fall object, and it depends on the escape velocity in space depending on the potential depends on time only (time dilation, and space is invariant. That means there is no space time continuum, it is only time. And that leads to violate symmetry, and it is produced by removing symmetry in the Lorentz transformation. Review my transforms and my equivalence principle. 

The measured decrease in the speed of light in gravity depends on time dilation same as in the refractive index in optics. By removing symmetry, it is resulted the massive particle of free fall object in gravity, its escape velocity will measured as decreased same as the light beam, that is because of the wave-particle duality. This proved by the Pioneer anomaly, which leads to solve the energy momentum problem in gravity. Review my paper regarded to the exact solution of the Pioneer anomaly. http://vixra.org/abs/1109.0058 Also my comments on the Thermal Origin of the Pioneer Anomaly http://vixra.org/abs/1205.0006 

Now we answered the equestions below

1- Aether field rejected by Michelson Morley experiment in 20th century, but now in 21st century Higgs field is accepted. Why is that?

Are the aether and Higgs fields equivalent? If yes, how can we accept it in the light of Michelson-Morely experiment? If not, in which manner are these two fields different?

Aether field rejected by Michelson Morley experiment in 20th century, but now in 21st century Higgs field is accepted. Why is that?

2- Is Loretnz symmetry conserved for all velocity ranges?

I want to know whether Lorentz symmetry is conserved for all the velocity ranges or not? Is the Lorentz invariance completely related to Lorentz symmetry; i.e. if Lorentz symmetry conserved then Lorentz invariance is also conserved or there are certain conditions where the Lorentz invariance conserved while Lorentz symmetry is not? what are they if there are such conditions.

3- Can zero point energy explain the rotation curve of a typical spiral galaxy: the 'flat' appearance of the velocity curve out to a large radius? Edit

If Lorentz transformation equations is vacuum energy dependent which lead to the wave-particle duality and Heisenberg uncertainty principle, and then photon mediates gravitation according to this transformation and the new equivalence principle in which acceleration equivalent to vacuum fluctuations. The uncertainty principle requires every physical system to have a zero-point energy greater than the minimum of its classical potential well. Thus the zero point energy explains the rotation curve of a typical spiral galaxy: the 'flat' appearance of the velocity curve out to a large radius. And how that is related to Higgs field.

There are more and more.

Please read the paper, may be helpful for you.  A new approach to the correction of

Galilean transformation.