Spacetime weave - Bit as the connection between Its or the informational content of spacetime by Torsten Asselmeyer-Maluga

Hi Torsten,

there's no need for apologies, the way this forum is structured, I keep losing the thread ('verliere den Faden') myself constantly. All the information one gets via the email updates is that *somewhere* within the 100-something replies in a thread, someone has added something... I think there's maybe room for improvement.

Unfortunately, our university library does not seem to have a copy of your book in stock, I will check whether it is available via remote order. I will have to step up my game if I want to have a meaningful discussion on the subject...

I think I've heard someone flaunting the idea that in the path integral, one should somehow integrate over all geometries (though how exactly that works, I'm not sure), and R^4 then may be singled out as giving the dominant contribution due to the plethora of smoothness structures---but I'm unsure as to how viable this is, or whether I am remembering correctly.

Anyway, thanks for your reply,

Jochen

Dear Torsten!

Excellent essay, and especially liked the conclusion: Time, among all concepts in the world of physics, puts up the greatest resistance to being dethroned from ideal continuum to the world of the discrete, of information, of bits. ... Of all obstacles to a thoroughly penetrating account of existence, none looms up more dismayingly than 'time.' Explain time? Not without explaining existence. Explain existence? Not without explaining time. To uncover the deep and hidden connection between time and existence ... is a task for the future. » Let's try together, physics and lyrics - the Universe is one ... Best regards, Vladimir

Dear Torsten,

I've had a quick look at your essay - nice approach. I'll read over more thoroughly before rating. I noticed the torus arises, which I've seen recently here http://www.labmanager.com/?articles.view/articleNo/35988/title/New--Simple-Theory-may-Explain-Dark-Matter/ related to dark matter via anapoles. Could this further your model?

A unified field theory I'm working on has the Pi squared component, so perhaps our two models overlap.

Anyway, best of luck with the contest. Hopefully you'll get chance to read, comment and rate my essay too.

Best wishes

Antony

What you are arguing is that considering the CS Lagrangian, or counting degrees of freedom therein, and the Einstiein-Hilbert action and its DOFs in effect double counts. They are ultimately the same.

The group of course in Lorentz setting is SO(2,1), which is the anyon system. I think in a graded system this leads naturally to supersymmetry or supergravity.

As for scores, I thought about giving you an 8, which as I said is sort of the gold standard any more. I have some questions about what appears to be naked singularity implications. I don't think naked timelike singularities can exist in a classical setting. Check out Strominger et al and the relationship between solutions to the Einstein field equation and the Navier-Stokes equation. Naked singularities would correspond to a singular breakdown in the set of solutions to the NS equation. Of course naked singularities lead to other nettlesome matters of time loops and the rest.

I am though trying to wrap my head around the prospect that for quantum black holes with an uncertain horizon that an observer has an uncertainty as to whether states measured are exterior or interior to the BH. Maybe for Kerr-Newman type solutions the timelike singularity inside the inner horizon then plays some sort of role in this case.

I hope to write a more complete discussion on the knot polynomial, cobordism and the CS Lagrangian in the near future.

Cheers LC

Hello Torsten,

Yes my essay focuses on dimensionality around Black Holes following the Fibonacci sequence. This actually is a consequence of geometry utilised in my theory.

I'd very much appreciate any comments you have on my essay. I agree that the whole world is contained in the number Pi, after all it is infinite, but has a real meaning to the Universe, so is by no means arbitrary.

I've now read and rated your essay - I think you deserve to do very well - great work!

Kind regards

Antony

These type of singularities occur when the averaged weak energy condition (AWEC) T_{00} >= 0 is violated. A wormhole has this type of singularity associated with a Cauchy horizon. These types of singularities are less "damaging" in some ways. The geodesics that reach it are measure ε, comprising the select geodesics that define the inward separatices. However, the frequency of a photon on that path diverges and there is a UV divergence.

A case of this is the extremal black hole. The two horizons r_{±} = m ± sqrt{m^2 - Q^2} merge at the extremal case. In the nonextremal case the inner horizon r_- is effectively the singularity, for inward geodesics have a UV divergence there. In the extremal case the singularity is "naked" in a sense, but it does not transmit information to the outside world. It is also a measure ε attractor for geodesic flows. In the case the BPS charge Q > m the black hole becomes spacelike and the AWEC is violated and it transmits information to the outside world. I don't think either the extremal or spacelike black hole conditions exist classically. Trying to spin a black hole up so that J = m is a GR version to trying to accelerate a mass to the speed of light.

So this result with naked singularities has some big question marks. It could reflect some aspects of quantum mechanics. A near extremal quantum black hole has some quantum amplitude for being extremal or spacelike, just as a particle can instantly tunnel across a barrier. The result may then have some quantum physical interpretation.

Cheers LC

Dear Torsten,

This is a tantalizing essay particularly after my reading of your last year writing. I like much the idea of using the diffeomorphism invariance as a way of classifying the 4-manifolds and their physical relevance.

I have a few questions after my preliminary reading

1)Are you aware of the attempt to see the visible universe as the Poincaré dodécahedral space (a 3-manifold) as reported for instance in http://arxiv.org/abs/math/0502566 ?

2)I am puzzled by your sentence that 'given two fundamental groups we cannot decide whether these groups are isomorphic or not', where does it come from, you cite a paper by Markov in 1958! Is this related to the type of logic undecidability described by Lawrence B. Cromwell in this contest

http://www.fqxi.org/community/forum/topic/1625 ?

Michel

Torsten,

Fascinating essay. I've always questioned the role of topology as a valid description of nature, (actually I challenge ALL assumptions!) but you've now given me a far more rounded view of the subject. As primarily an astrophysicist I've always been struck by the ubiquitous toroidal forms of energy and collections of matter in the QV. (I explore it's quantum implication in terms of orbital angular momentum in my essay).

I particularly find resonance with; "the measurement of a point without a detailed specfication of the whole measurement process is meaningless in GR." Indeed I describe and axiomise a detection and measurement process. also;

"For two data sets of the spacetime, there is no algorithm to compare the two sets. The result of an experiment is undecidable." In astronomy the lack of a relativistic algorithm for inertial system (spatial frame) transitions, i.e. barycentric to ECI frame is analogous.

and; "matter and interaction (as gauge theories) can be described as special submanifolds of the space where these submanifolds are determined by the smoothness structure of the spacetime."

But what scale are you prescribing smoothness as opposed to 'granualarity', or quantization of energy? is 'granule' smoothness a valid topological concept?

I hope you'll read and comment on mine. I'd hoped more suitable for the average Sci-Am reader, but I fear I may have crammed too much of the the ontological construction in again - so it takes careful reading!

Very well done for yours. I found no reason not to give it a top score. Congratulations on now leading by the way! But you have some good competition.

best wishes

Peter

Hi Torsten,

How did you find the experiment? Did you have time to take a look?

I am ready for a severe criticism.

Best regards

Ok Torsten. The most likely my description is not clear enough and this is my fault so I treat it as an occasion to improve. I will try to clarify the real experiment and his relation to the thought one.

In both experiments the point is that the photon is not a point particle (like in Standard Model) that is reflected from another point particle (one of many creating the mirror) but instead it travels around a "particle" (anyone being a part of the mirror) and comes back along a geodesic. The way it goes is a geodesic (acc. to my concept) because the mirror's particle deforms the spacetime much enough (or simply it is that deformation itself). If our photon goes along the geodesic (straight line!) it does not change its spin.

Acc. to Standard Model the photon does not go around along a geodesic but it is simply reflected and as a cause of that reflection the spin is changed.

So it is a realization of the thought experiment.

I have proposed to use a photon and not e.g. an electron because the experiment is much easier to carry out by means of a polarization. The mirror is obviously not the same as a single particle deforming a spacetime (like in the thought experiment) but it is practical and relatively easy to use. The potential problem could be a photoelectric effect, Compton scattering or pair production.

The outcome of the experiment can be contradictory to Standard Model. And we could forget the duality, wave function collapse and so on... That is a motivation.

I am ready to clarify more if needed.

Dear Torsten

I have a feeling you want to conclude that : all of every jobs same are ....IS A TASK FOR THE FUTURE.

http://fqxi.org/community/forum/topic/1802