Quantum Gravity The biggest unsolved problem in fundamental physics is how gravity and the quantum will be made to coexist within the same theory. Quantum Gravity is required to make the whole of physics logically consistent. The problem is that quantum physics and general relativity already overlap each other’s domains, but do not fit together. The biggest challenge with quantum gravity, from a scientific point of view, is that we cannot do the experiments required. For example, a particle accelerator based on present technology would have to be larger than our whole galaxy in order to directly test the effects. This means that quantum gravity today is not yet science in the strict sense. No experimental input exists that can inspire and control theoretical ideas, and historically we know that theoretical “progress” then usually occurs in completely wrong directions. Einstein’s dream was to describe the whole of nature in a single theory. That dream is still not realized.
http://ltu.diva-portal.org/smash/get/diva2:996740/FULLTEXT01.pdf
This question sits on the fence between cosmology and particle physics: How can we merge quantum theory and general relativity to create a quantum theory of gravity? How can we test this theory? The answer to this question will necessarily rely upon, and at the same time may be a large part of, the answers to many of the other questions.
http://math.ucr.edu/home/baez/physics/General/open_questions.html
The root of the quantum gravity problem is that physicists want to solve the quantum gravity problem regardless to the relativistic Newton’s second law. While these two laws (universal gravitational law and relativistic Newton's second law) are closely related to each other. In CPH Theory, according to reconsidering the relativistic Newton's second law quantum gravity is discussed and analyzed.
In spite of publishing many articles about graviton, but it has not been done any considerable work about mechanism of graviton exchange between bodies/particles. The reason is that the old graviton definition in modern physics, is unable to describe this mechanism and also it is impossible to get the theory of the quantum gravity.
In CPH theory, after reconsidering and analyzing the behavior of photon in the gravitational field, a new definition of graviton based on carrying the gravity force is given. By using this definition, graviton exchange mechanism between bodies/objects is described. As the purpose of quantum gravity is describing the force of gravity by using the principles of quantum mechanics, all the large bodies such as stars and galaxies which are made up of atoms and elementary particles, quantum gravity should explain the graviton exchange mechanism between atoms and elementary particles, too.
https://www.researchgate.net/publication/310628928_Rooting_the_biggest_problems_in_physics?ev=prf_pub
Article Rooting the biggest problems in physics