But since this is not the case, - Einstein invented the idea that photons have larger momentum due to speed, and therefore follows different paths than slower matter-objects.
The idea that light has a large momentum due to speed was not invented by Einstein. He wasn't THAT smart!

Though Einstein was by far smarter than his current detractors, the linear momentum carried by a light beam had been MEASURED by scientists in countless experiments BEFORE Einstein's 1905 article.
Scientists are still measuring the momentum of light in laboratories here on earth without space probes and satellites. Small scale experiments on the laboratory bench have established that light carries momentum. Furthermore, no one has has been able to detect a photon in a vacuum that doesn't travel at 'c'. Light in a vacuum here on earth always travels with a speed of 'c'. Even air doesn't slow down light very much here on earth.
I don't know what universe you live in. However, in my universe the speed of light has been shown to be independent of its source. Therefore, the speed of a photon is always 'c'. However, the momentum of a photon varies even though its speed is constant. The momentum of a photon varies because the inertial mass of the photon varies.
Light exerts radiation pressure which is a mechanical force. Light carries linear momentum because it can exert a mechanical force. Therefore, any amount of light in terms of energy has to have an inertial mass in order to carry the linear momentum.
Photons exert radiation pressure in all reference frames because they have inertial mass. If they didn’t have inertial mass, then they couldn’t exert radiation pressure. Their inertial mass is proportional to their total energy. In that sense they are like any other elementary particle.
A gamma ray photon moving at the speed of light can have the same inertial mass as a electron at rest. The caveat here is that the photon can never be at rest. A photon always travels at the ‘speed of light’. The speed of light in a vacuum can never be zero. The local speed of light in a vacuum always has the same large value often designated by ‘c’.
Photons don’t have rest mass because they can not be at rest in any frame of reference. The photons in a vacuum always travel at the speed of light in a vacuum. Other particles have a rest mass because they can be at rest in at a reference frame. Particles with rest mass always travel slower than the speed of light in any reference frame.
The following is a link describing radiation pressure.
https://en.wikipedia.org/wiki/Radiation_pressure
‘Radiation pressure is the pressure exerted upon any surface exposed to electromagnetic radiation. Radiation pressure implies an interaction between electromagnetic radiation and bodies of various types, including clouds of particles or gases. The interactions can be absorption, reflection, or some of both (the common case). Bodies also emit radiation and thereby experience a resulting pressure.
The forces generated by radiation pressure are generally too small to be detected under everyday circumstances; however, they do play a crucial role in some settings, such as astronomy and astrodynamics. For example, had the effects of the sun's radiation pressure on the spacecraft of the Viking program been ignored, the spacecraft would have missed Mars orbit by about 15,000 kilometers.
…
Radiation pressure can be analyzed as interactions by either electromagnetic waves or particles (photons). The waves and photons both have the property of momentum, which allows their interchangeability under classical conditions.
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Electromagnetic radiation is quantized in particles called photons, the particle aspect of its wave–particle duality. Photons are best explained by quantum mechanics. Although photons are zero-rest mass particles, they have the properties of energy and momentum, thus exhibit the property of mass as they travel at light speed.’
Radiation pressure has been measured a long time before relativity. The following link describes some history of radiation pressure measurements.
http://www.ece.uvic.ca/~bctill/papers/numacoust/Beyer_1978.pdf
‘The history of light radiation pressure goes back more than 200 years to Leonhard Euler.…’
Engineers are measuring radiation pressure in better ways today.
https://mundaylab.umd.edu/wp-content/uploads/Ma_APL_2015.pdf
‘Quantitative measurement of radiation pressure on a microcantilever
in ambient environment
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Light reflected off a material or absorbed within it exerts radiation pressure through the transfer of momentum. Micro/nano-mechanical transducers have become sensitive enough that radiation pressure can influence these systems. ’
https://books.google.com/books?id=I...epage&q=Einstein 'radiation pressure'&f=false
‘The existence of radiation pressure was well established before Einstein formulated the special theory of relativity.’
Scientists had informally shown that energy is related to inertial mass even before Einstein by considering radiation pressure. Einstein formally proved that that there was a precise equivalence between energy and matter.
https://en.wikipedia.org/wiki/Mass–energy_equivalence
‘Mass–energy equivalence arose originally from special relativity as a paradox described by Henri Poincaré.[1] Einstein proposed it in 1905, in the paper Does the inertia of a body depend upon its energy-content?, one of his Annus Mirabilis ("Miraculous Year") Papers.[2] Einstein was the first to propose that the equivalence of mass and energy is a general principle and a consequence of the symmetries of space and time.’
Einstein may have been partly motivated by the riddle of radiation pressure when he started to develop special relativity. However, he didn’t discover radiation pressure. Scientists long before him had figured out that energy and inertial mass are equivalent.
The riddle of radiation pressure is this. In Newton’s theory of emchanics, as presented in Principia, energy is not equivalent to inertial mass. You could pump a body up with large amounts of energy without changing the inertial mass of the body by even a small amount. So either radiation pressure doesn’t exist or Principia is sometimes wrong. So the riddle is which is
Einstein preferred to think that Principia was sometimes wrong than reject all the experimental evidence for radiation pressure. If a scientist thinks that Principia is always precisely correct, then he has to explain radiation pressure.
The photon-momentum claim is nothing but a postulate.
Photons cannot have momentum because these have no mass, - and can in no way be compared to mass-elementary particles.
Strangely, the momentum of light has been measured for at least two hundred years starting with Euler. You are SOOOOO wrong.
Or are you claiming that light can carry momentum but photons can not carry momentum?
A photons is a particle of light. Or haven't you heard?
According to my understanding it is true that mass is “bending” space , -or rather stretching space, - but insignificant, and in no way so dramatically that this can explain the cause of gravity.
Photons and mass-particles are at best equally (insignificant) effected by the “curved space”, - and only mass particle can have momentum.
The curvature is in no way the cause of gravity. – It is the connecting between space consuming particles (mass particles) and the elastic space that is the cause of gravity. Gravity is still a force.
Software able to calculate the effect of what I wrote (above) is necessary.
It is a beast to developed, - but it is logical clear, that the influence already seems to have such alarming impact on deep orbits that no space will be left for Einstein’s postulate, claiming that he solved the cause og mercury's pression anomaly and also not the cause of gravity.
My friend think about that we today know that space-probes are increasing their speed significant, when flying deep into a field of gravity.
Now you have for the first time a tool in the darkness, try instead to use it and see what happens. - And yes there are no space left in the theory of relativity for such new idea.
Sooner or later we have to face that the only way out of the darkness is to modify both GR and SR, - only by doing so a new paradigm can comprehend the huge and growing amount of knowledge and observation that today simply cannot adapt to the prevailing paradigm
Gee, there is no light in the Bjarne universe. I am so sorry for you
