One could scale up gravity warp to electromagnetism values which is very great then use these tensor like values for a quantum gravity foam (granules) then apply covariant tensor calculus to get a curvature of spacetime applied to it inverse matrix theory with tensors to possibly work with general relativity and its tensor covariant derivative ?

tensor derivative

@Daniel

You are right.We can apply GR independently to each space time(or field). Relatively it is not possible. Transformation results as a single space time with signal velocity 'c' planck diameter as least length and curvature is gravity.(Consequence of our consciousness as a result of process of information through a processor like brain)

Grand Unification, first of all, doesn’t involve gravity: It means unifying the three interactions of the Standard Model in a description with a single gauge group.

This, still, remains to be done.

The fundamental problem with gravity is that its gauge group-that of diffeomorphisms-is noncompact, which leads to spacetime singularities. What isn’t known is how to resolve them.

NO to Grand Unification with gravity within the standard model. There are too many unexplained observations and ad hoc modifications. If gravity is to be included (cosmology), then Mach's principle must be explained (it's ignored now and doesn't fit).

Kuhn suggested in such a situation which has lasted as long as it has suggests a complete paradigm shift is required. So, start with observations and fit them all together.

“…Grand Unification, first of all, doesn’t involve gravity: It means unifying the three interactions of the Standard Model in a description with a single gauge group.

This, still, remains to be done….”

- yeah, that is so, first of all in that in mainstream physics, first of all Standard particles Model, “Grand Unification” doesn’t involve gravity, since in the SM “Grand Unification” is the “unification” of 3 postulated in the physics – and really existent – fundamental Nature – Weak, Electric/EM, and Strong – forces,

- while in the mainstream fundamental Nature force “Gravity” simply doesn’t exist, since in the mainstream the GR is the standard theory of gravitational objects and interactions, where the interactions in systems “mass-spacetime-mass” are postulated;

- while any interactions “charges/particles/bodies, etc. –spacetime - charges/particles/bodies, etc.” don’t exist in the SM – and in all rest physics.

That in the GR above so fundamentally differs from all that in physics exist else, and so yeah, that

“….The fundamental problem with gravity is that its gauge group-that of diffeomorphisms-is noncompact, which leads to spacetime singularities. What isn’t known is how to resolve them.….”

- that is really so, despite that the GR gravity’s “gauge group-that of diffeomorphisms-is noncompact” really isn’t some fundamental problem.

That follows from that the postulated in the GR interactions above, as that is rigorously shown in the Shevchenko-Tokarevsky’s informational physical model

https://www.researchgate.net/publication/355361749_The_informational_physical_model_and_fundamental_problems_in_physics , are simply fundamentally impossible and so really don’t exist.

Just so the really evidently transcendent mystic, however quite legitimate in mainstream physics, singularities – first of all a number of “holes in the spacetime” – directly follow from the GR, despite that they – see the link above - fundamentally cannot exist.

And that a really scientific “unifying the three interactions of the Standard Model in a description with a single gauge group”, despite that it doesn’t look so evidently impossible comparing with the GR case,

- nonetheless isn’t done, and practically for sure is, nonetheless, also fundamentally impossible, since physics must scientifically describe what really exists and happens in Matter.

That is rigorously shown in the SS&VT model above: really in Matter the fundamental Nature forces, including, of course, Gravity is fundamentally nothing else than the “fourth” Force, are fundamentally different, and so aren’t “unified”,

- despite that everything in Matter is fundamentally unified in that everything is/are only some specific disturbances in the Matter’s ultimate and ultimately universal base

– the[n+4+1](n+4)D dense lattice of [n+4+1](n+4)D binary reversible fundamental logical elements [FLE], which is placed in the corresponding Matter’s spacetime is the fundamentally absolute, fundamentally flat, and fundamentally “Cartesian”, [n+4+1](n+4)D spacetime with metrics (cτ,X,Y,Z, g, e, w,s, ct), where n=4 dimensions (g, e, w,s) correspond to the Forces,.

What exits and happens in the spacetime metrics (cτ,X,Y,Z, g, e, ct), see the SS&VT 2007 initial model of Gravity and Electric Forces in

https://www.researchgate.net/publication/365437307_The_informational_model_-_Gravity_and_Electric_Forces

Cheers

Recent SS post in the thread https://www.researchgate.net/post/Fundamental_Forces_and_Physical_Scale

- is relevant to this thread question

Cheers

Gravity is the main fundamental force which defines a fundamental force perfectly by space time curvature. This curvature is the measure of coupling constants so that standard model is also part of grand unification. Further to that the 'beyond standard model' model explains the significance of signal which is a basic concept of transformations. It is perfectly all right that gravity is a mathematical description of General Relativity. No doubt in it. but physically what is singularity and what is the least curvature that can form a signal which is fundamentally related to quantum of that field...are important to build a broad integrated model(synchronization of gravity with quantum is important). other things that plays important role in gauge theories like charge and spin are inbuilt in space time but the constants of space times are different for different natural forces one and other related by signal transformation.