Rade said:
... I suggest the new future explanation of 100% of the mass in the universe will completely do away with the current Standard Model. My point for this thread is to discuss what this new model may be--the mathematics and dynamics of it.
there are several competing quantum theories of gravity being constructed which are explicitly background independent.
discussion of 3 or 4 different approaches is gathered in a book to be published next year by Cambridge U. Press called
Approaches to Quantum Gravity: Towards a New Understanding of Space Time and Matter
the editor is Dan Oriti and there are about 20 or so authors included in the book. there is also Q and A discussion between the authors of different approaches
some string theory writings are included even though string is not primarily a background independent approach---it may achieve an explicitly B.I. formulation in the future.
At this point the best one can do is give a balanced discussion of several approaches to a quantum theory of space, time, and matter. That is what is called "Quantum Gravity". Increasingly modern B.I. Quantum Gravity deals with particles, matter, as well as geometry of spacetime. In several recent papers MATTER arises from the same stuff or degrees of freedom as geometry----different particles and their interactions emerge as aspects of geometry, in a way.
the picture is confusing. Hopefully Oriti's book will clarify the picture somewhat. Several of the approaches being worked on seem to be converging----they have points of similarity. but it is still a chaotic diverse field of research.
maybe i can get some links that will suggest the range of QG options.
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Just a side comment, You mentioned repulsive gravity. Repulsive gravity at very high matter-densities is one of the things that comes out of Loop Quantum Gravity models of both the collapse of a star to form a black hole and also the big bang (which LQG models suggest was a bounce)------so repulsive gravity is something one sees emerging from the analysis as a quantum effect-----but that is not what Padmanabhan was talking about he was describing the acceleration of expansion driven at very LOW near-vacuum densities by the cosmological constant. the cosmo. const. is a term in a classical (non-quantum) equation. QG may eventually be able to explain it as a quantum gravity effect but that is a very nebulous notion. In our era, despite the cosmo const., gravity is predominantly attractive----the LQG analysis, where it turns repulsive at high density, was unexpected and AFAIK unconnected with the presentday accelerated expansion of nearly-empty space
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So far I think the QG researcher who has been most notable for getting matter, and indeed the Feynman diagrams that show how matter interacts in conventional QFT, to emerge from a quantum theory of spacetime geometry is a guy in Canada named Laurent Freidel.
In his work it is clear that he is building a quantum theory of space, time, AND matter.
You can probably google the name Freidel, or including his first name Laurent, and get a bunch of articles and references.
his uses so-called SPIN-FOAM approach, and also "group field theory"-----he gets particles as a kind of aspect of geometry (like a tangle or a fault-line in spacetime) and he gets Feynman diagrams as the flat limit (as gravity is turned off) of his spinfoams.
Freidel is not the only one working in that direction but I always seem to be waiting for his next paper, hoping it will clarify some unresolved question.
So far there have been no final triumphs or complete successes
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eventually I suppose there will have to be a B.I. quantum theory====where the continuum is floppy (no fixed geometry)=====and where particles or fields arise from the same stuff as geometry, so that matter is an aspect of geometry=====and where MATTER AND GEOMETRY INTERACT in a natural way, as they do in Einstein's 1915 equation of GR, but in that classical theory the interaction whereby matter curves space is only described by an equation, and not explained
and this quantum theory must be applicable to regimes of very high curvature, very high density and pressure, like the big bounce, or the collapse of a star to form a black hole---in other words to extremely dynamic situations with violently changing geometry =====this is one reason that many people think the ultimately successful theory will have to avoid preconceived background geometry, which is just not realistic in these extreme situations, and will have to be B.I.