Infinite Resolution by Cristinel Stoica

Hi to both of you,to all,

He is right dear Eckard, all is in contact,that's why we have waves.Thus the distance is in this logic zero if we consider that the spaces are entanglement also but wihout motion.

His analyze of singularity is interesting considering the last Particle at the wall.You know all mass system has its main central particle, and it is coded.

Best Regards

Steve

Cristinel,

Does your theory hold true with a cyclical universe as proposed in "Endless Universe" by Steinhardt and others?

Thanks for the read.\

Jim Hoover

Dear Cristinel Stoica,

I feel your essay can convince anyone, on General-Relativity and its implications,without doubt but not so when it comes to recociling digital and analog nature of reality.If you want to know how to reconcile digital nature of reality with its analog nature,please read my essay and express your openion on it.

Good luck and best wishes.

Sreenath B N.

Dear Cristi,

Thank you for your kind remarks. I have enjoyed reading your essay about doing general relativity with degenerate metrics. I had a small curiosity : it was not clear to me whether while discussing gravitational singularities you make reference to geodesic incompleteness - this I thought is conceptually more general than metric degeneracy.

Good luck for the contest,

Tejinder

You're my kind of scientist, Cristi. Excellent essay!

You might be interested in another model of metric degeneracy, with analytic continuation, in my ICCS 2006 paper ("self organization in real and ocmplex analysis").

And I hope you get a chance to read my essay entry, too.

Thanks for a great read.

Tom

Dear Cristi,

Fascinating idea to extend general relativity to prevent mathematical singularities. Interesting to make use of ADM formalism to eliminate divergences. I enjoyed your essay very much. It is well-organized and nicely illustrated with the colorful diagrams you used.

Best wishes,

Paul

Paul Halpern, The Discreet Charm of the Discrete

Your essay is interesting. There are some questions I do have about some of this, in particular the nature of this caustic smoothng. In particular it seems to imply more degrees of freedom to spacetime.

However, what you wrote is interesting. This is one of the better papers.

Cheers LC

Dear Christi

I've just re-read your essay and congratulate you, though areas were outside my more conceptional and empirical approach. In particular I reconsidered in a broader sense your 'boxed' comment;

"The best evidence for the continuity of reality would be provided by a theory which is based in an essential, irreducible way, on the necessity that spacetime and the values of the fields are divisible ad infinitum."

I realised that this is at face value entirely equivalent to the model of discrete fields which I describe, itself also consistent with Edwin Klingmans Cfield. Your route otherwise is largely finer than my 'overview' approach, and would not be qualified to comment. My discrete fields are consistent with Einstein's descriptions, applicable from a single ion up to the (or each) universe where in relative motion.

I've just posted a logical assessment of where it derives SR may reconnect with it's quantum mechanism, where GR also more naturally emerges. I am not a mathematical physicist but a logician and architect, viewing the matter from a different place, and that job is done. I really hope you're able to read and comprehend the dynamic variable logic in the style written.

I feel it is important, and your views would be appreciated, if you have the time and am not suffering the eye strain I am!

Many thanks

Peter

Dear Peter,

thank you for reading my essay and for your kind observations. I am happy for the connections you pointed with what you and Edwin say. As certainly you observed, I am only trying to show that GR is not guilty of a sin of which it is accused by many, and which became widely accepted - that it predicts its own "breakdown". In this essay I did not discuss the connections of this theory with the experiment, or how to find an explanation for its principles, and I limited myself to discuss only the problem of singularities, although there are certainly other problems too. Definitely all other areas are important and should be analyzed thoroughly, but I could concentrate only on one issue. I hope what I say may be helpful even to modified versions of GR, since it concerns the geometric structure of space and time in general.

Best regards,

Cristi

Christi

I agree. Far too many have simply treated this as an opportunity to give us a lecture on physics history as they see it, which is far from the point! And many of those are higher than yours, which I think very wrong. Your point is very important and well made, and I'm glad you saw the important aspect of my own as a way round the present illogicalities in relativity.

You referred to possible predictions varying from our current understanding. I responded - that I've made many, but in front of mobile goalposts they all fall to nought! I've just made some more ref the 'ignorosphere' (NS) we're about to explore. I won't repeat them as they're here.http://fqxi.org/community/forum/topic/803

Many thanks, and best of luck

Peter

thank you, Peter, and best of luck to you too!

Cristi

Hi Cristi,

I reread your essay. We both agree that infinity is a problem. Your perspective is that information gets overwritten when field lines become degenerate, mine is that infinity cannot exist within a finite Observable Universe (13.7 billion light-years is huge, but finite). As I understand, you essentially are saying that the fields remain continuous ad infinitum, and that infinitesimally small terms are introduced that prevent the true singularity. It seems that these small terms could be introduced via properties of intrinsic and extrinsic curvature.

My perspective is that infinity cannot exist in our reality, and therefore the concept of field lines that are continuous ad infinitum is a slippery slope - what is the definition of "ad infinitum" if infinity doesn't really exist?

You approached this problem from the perspective of General Relativity and handled a tough subject very well in my opinion. I partially addressed the problem of infinity from the perspective of Scales, Supersymmetry and Solid State Physics models. I think that the concept of infinity requires different scales - some larger (Multiverse?) and some smaller (Quantum?) than our classical scale. Perhaps your intrinsic and extrinsic curvatures are related to my ideas of Scales, and are related to each other via a concept similar to Supersymmetry (or perhaps the Haag-Lopuszanski-Sohnius theorem).

In my forum, I have been discussing the idea that a static Black Hole "singularity" is encased by a Buckyball lattice of "quantum spacetime" or "quantum gravity", so that infinity is never truly reached. Because most (perhaps all?) Black Holes rotate, we should expect torsion to morp a nested pair of buckyballs into their homotopic cousin, a lattice-like torus. Although this torus may have lattice properties at a scale of 10^-31 cm, these lattice points are the ends of strings that appear continuous (and seemingly continuous ad infinitum) at scales greater than 10^-31 cm.

The contest period is drawing near the end of Community votes. I would appreciate your feedback on my essay if you have an opportunity.

Good Luck and Have Fun!

Dr. Cosmic Ray

Dear Cristinel,

Congratulations on your dedication to the competition and your much deserved top 35 placing. I have a bugging question for you, which I've also posed to all the potential prize winners btw:

Q: Coulomb's Law of electrostatics was modelled by Maxwell by mechanical means after his mathematical deductions as an added verification (thanks for that bit of info Edwin), which I highly admire. To me, this gives his equation some substance. I have a problem with the laws of gravity though, especially the mathematical representation that "every object attracts every other object equally in all directions." The 'fabric' of spacetime model of gravity doesn't lend itself to explain the law of electrostatics. Coulomb's law denotes two types of matter, one 'charged' positive and the opposite type 'charged' negative. An Archimedes screw model for the graviton can explain -both- the gravity law and the electrostatic law, whilst the 'fabric' of spacetime can't. Doesn't this by definition make the helical screw model better than than anything else that has been suggested for the mechanism of the gravity force?? Otherwise the unification of all the forces is an impossiblity imo. Do you have an opinion on my analysis at all?

Best wishes,

Alan