[...]
Marcus in the initial post quote one arxiv paper that forces physics to become even out of physics (to just the world of math).
Geometry is not physics as it is a mental construction (as math in general), and quoting from
http://en.wikipedia.org/wiki/Space
"...
Henri Poincaré, a French mathematician and physicist of the late 19th century
introduced an important insight which attempted to demonstrate the futility of any attempt to discover by experiment which geometry applies to space.[15] He considered the predicament which would face scientists if they were confined to the surface of an imaginary large sphere with particular properties, known as a http://en.wikipedia.org/wiki/Sphere-world" . In this world, the temperature is taken to vary in such a way that all objects expand and contract in similar proportions in different places on the sphere. With a suitable falloff in temperature, if the scientists try to use measuring rods to determine the sum of the angles in a triangle, they can be deceived into thinking that they inhabit a plane, rather than a spherical surface.[16] In fact, the scientists cannot in principle determine whether they inhabit a plane or sphere and, Poincaré argued, the same is true for the debate over whether real space is Euclidean or not.
For him, it was a matter of convention which geometry was used to describe space.[17] Since Euclidean geometry is simpler than non-Euclidean geometry, he assumed the former would always be used to describe the 'true' geometry of the world.[18]..."
Of course that I know that physics needs to be described by math.
But now we have the physics poluted with mathematicians that are trying to solve the first 'cagagésimo´ (*) of a second. Dreaming with parallel universes, finite or infinite. Some say that in each point of space-time an infinite quantity of universes could be emerging (at expense of what energy ?). Is this physics, or magic ?
By the early time of Einstein the physics of FIELDS are well established, and the particle story are just in the beginning. Einstein does not understand the graviton, the inflaton, (there is a new one, born very recently, for the time of pre-BB, that I do not remember the name)
When Einstein formulated the GR the Standard Model were unborn, as space expansion, as BB, as Inflation.
What I think is that theoretical physics has the need to get back to those times, and restart. GR is coherent, not augmented, nor amended, and it is not a collection of N theories, patched together and giving us unsurmountable questions, each one deserving us a comment 'we are just, just 'presque à résoudre' (about to solve).
To me is about to say 'The King is naked'
(*) not in the dict, just a way of say an infinitesimal quantity.