Time and physics

Two arXiv papers that have caught my attention:

*  From someone working in Sao Paulo, Brazil, this one is hard to follow after the introduction, and I have no idea whether there are any grounds to suspect a "compactified special time co-ordinate" really exists.  Still, sounds interesting:

*  Sometimes I read arXiv papers which I think are likely to be considered important - even though it seems I am not often right.  [I still want to know what other physicists thought of this paper from China that I noticed nearly two ago, as it seemed to say something important about quantum mechanics fundamentals.  But I have read nothing about it.] 

Anyway, here I'll take a stab at another paper that seems to have a potentially important idea:  Time Dilation as Quantum Tunneling Time. 

The abstract doesn't do it justice.   The point seems to be that (although I think this is perhaps a controversial point) experiments have shown that quantum tunneling is not instantaneous, and this may have big implications:

 Tunneling times of 80-100 attosecs were measured for their system. Tunneling can in some sense be understood as the collapse of a superposition of two spatial location for a particle. The wave function represents the probability that a particle can exist in various locations. For a particle with a finite barrier interposing itself on the wave function, some of those locations will be outside of the barrier and some inside. Thus it can be said to exist in a superposition of being behind the barrier and outside of it. The collapse of this superposition is what is measured when tunneling time is measured. Given this, one might expect that the collapse of a state function for entangled states also wouldn’t occur instantaneously. Generally this could imply that the update to quantum mechanical state information requires a non-zero time. The question of non-zero collapse time for an entangled pair can and should be settled by experiment as it was done for quantum tunneling time. If this is true then we have a mechanism which could explain the microscopic relative behavior of time in a higher mass-energy location.  ....

They then have a go at suggesting they can derive the mass energy time dilation formula based on the quantum tunneling time, and they seem to come up with a plausible result. Here's the discussion at the end:

This attempt to derive the mass-energy time dilation equation using the tunneling time formula from quantum mechanics has the appeal that one can recover a believable quantum correlation distance proportional to the causal light cone. As well as a vacuum energy density consistent with older and higher estimates is also recovered. This might be significant since a large issue in reconciling quantum mechanics with General relativity has been accounting for the large vacuum energy density predicted by quantum mechanics. Here the large energy density follows, as a natural consequence of this derivation.

Starting with the gravitational time dilation equation one should be able to re-derive Einstein’s field equations. Here the governing idea is that mass-energy slows the update of quantum states due to the finite time it takes to update quantum correlations in parallel. It is this differential in time updates which drives the emergence of the force of gravitation.

But whether this is just another theoretical physics mis-step - who knows?