Just to be clear: it is mostly accepted that there should be a unification of quantum theory and gravity, but as far as I can see people have no idea how to prove experimentally if one of the already proposed approaches like string theory or loop quantum gravity is the one that does the job or if we need something completely different.

When it comes to nuclei, you need primarily strong and weak interactions. Getting both in an alliance with quantum mechanics is already a grand unified theory while the weak interaction and QM are aligned in quantum chromodynamics, although I will not pretend that I dug into that any deeper than watching the acollierastro youtube video...

No, The goal of quantum gravity is to provide a consistdnt description of the quantum fluctuations of spacetime.

The question “What is quantum gravity?” is rather in detail considered in SS posts in

https://www.researchgate.net/post/NO47What_is_Force_a_Field_Where_is_the_Force_Field_How_does_it_appear_Is_the_Force_Field_a_Regulating_Effect_of_the_Energy-Momentum_Field

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

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

where, including, it is shown that quantum gravity has fundamentally no relation to the radii and masses of quantum particles like proton, neutron, etc.

At that the fundamental Nature Gravity force that – as all other Forces - acts in the Matter’s fundamentally absolute, fundamentally flat, fundamentally continuous, and fundamentally “Cartesian”, (at least) [4+4+1]4D spacetime with metrics (at least) (cτ,X,Y,Z, g,w,e,s,ct), which is really nothing else than an infinite “empty container”, in what everything in Matter is placed ant interacts,

- and at that – in fundamental contrast to other Forces, interactions by which some QM systems are created, since Gravity Force is extremely weak, in Matter there exist no “classical” gravitationally coupled QM systems, nonetheless quantum nature of Gravity well possibly can be observed, more see https://www.researchgate.net/publication/215526868_The_informational_model_-_possible_tests at least the section 2.1.2. “Monochromatic photon beam distortion”

However in some exotic material objects, first of all in central compact objects in SMBH [more see https://www.researchgate.net/publication/383127718_The_Informational_Physical_Model_and_Fundamental_Problems_in_Physics , section “Cosmology], where Gravity Is extremely strong, in the objects interius some QM structures with a well non-zero probability exist.

Cheers

Jamil Kooli,

the radia/masses of electrons, protons and neutrinos can be calculated by the respective forces through a quantum mechanical pocess as I have shown. Gravity is not involved.

However I did try do quantize gravity true a specific process which lead to the determination of the above mentioned forces (my second book). The argument was that gravity always has to be erected when particles are created. It is needed to conserve energy.

The goal of quantum gravity is to dress a border between quantum physics and gravity and also to know the structure of space-time for cosmological application like why and when Universe is exapanding, what is dark matter..etc.