Hi Douglas,

Thanks for reading and your comments. Interesting point about collider results - good news for what I'm saying.

I'll save those links - thanks for those!

You sum it up well. The reduction along the Fibonacci sequence results from how limited information is in its exchange.

If we imagine two particles outside a BH, then they can both receive & reveal information 3-dimensionally.

At the event horizon, they both can only receive information in something like a half sphere direction because they can't receive anything from past the event horizon.

Likewise, they can only release information in the opposite direction.

This means there is a 2-dimensional unique point where information is both released and received.

Then pathways reduce to 1-dimension. The Fib. Sequence has two 1s before 0. This ought to mean there is a point where information can only be released, then further towards the singularity another point where information can only be received.

Then there is the 0-dimensional singularity.

The negative parts I will answer in another in below as another comment asks this.

But as you point of, dimensionality increasing towards a singularity may be getting less experimental backup these days, so my idea may make sense. Also that a singularity by definition is 0-dimensional, then at least we follow downwards from 3 to 0 in this system

Best wishes & thanks for the great comments,

Antony

Hello Marcoen,

These are very good points. Thanks for your comments.

Points 1 and 2 can be answered together.

The fundamental part comes from two places. Te first is that we begin at a singularity or 0 in the sequence. Also that we balance out the sequence conserving numbers, by using the negative part of the sequence.

Indeed the part of the sequence used isn't as small as just 0, 1, 1, 2, 3, but also includes -3, 2, -1, 1, before the 0.

We can extend in both positive and negative directions to fit the conservation, so indeed in some respects we can use the whole sequence. But we are using 9 points of the sequence for a valid reason.

Te negative numbers do denote information exchange, but moving away from the singularity. In other words the potential to move away isn't real, but virtual. But this is using to explain why nothing escapes - usually. Obviously I explained that Hawking Radiation can occur, and that the smaller the Black Hole, the greater the rate of radiation.

The empirical aspect that the Universe is spatially 3-dimensional also is matched, not only by the conservation at -3 to balance the inside and outside of the Black Hole, but also for the reasons in point 3 that you make.

The negative simplex is indeed strange. As soon as we consider the "decay" products of 0 or beyond, we have to consider these negative sets. I'm glad you raised this point, as I too found these strange.

If we imagine them as inverted real geometries, we give them a negative number. We also take the positive and take the mean of the two numbers. So this is zero. Then we increase by plus 1 for entropy going right down the sequence, but have to stop at 2 in the negative part of the sequence because the decay product breaks the +1 rule for the entropy. Shown in red in table 1.

As you say, a negative simple sounds crazy. But then this is what makes the whole idea MORE fundamental. We are dealing with black holes where the quantum world is expected to meet general relativity.

Also pre-Big Bang singularity for instance, we had to create a Universe from nothing. The -1, 1, 0 part of the sequence alone allows for this, but more comprehensively, I have a broader theory where we get geometries from simplexes that partly unify the four forces of nature and resolved the three paradoxes of Cosmogony.

So what I am saying is that these negative dimensionalities and simplex representations are part of the way space-time curves to conserve nothingness overall.

Perhaps they exist as real structures with a Black Hole, but I'd suggest that all particles with mass actually consist of these as well as positive geometry. Further we don't see them for the same reason I suggested an Arrow of Time, because a natural asymmetry arises, which the entropy table hints at.

Sorry if I've not been too clear - rambling is easy around these points, because they are so important.

Please let me know and I can be be more thorough and/or more concise about these excellent questions.

I'll try to also read over your paper again once I've finished the few I haven't looked at yet.

Best wishes,

Antony

    Another quick point around -1 and -3 dimensionality with regard to information exchange. As we decent into the Black Hole, we lose pathways for exchange, reducing the said dimensionality, such that we need to actually account for these. So the Black Hole remains balanced with the rest of the Universe.

    The singularity being 0-dimensional suggests information can't be exchanged at all. However information can pass over this thanks to the 1s surrounding the 0. Negative information exchange hence means that balance or conservation comes from the Black Hole not releasing information as is, but in a time reversed manner. Thus essentially not releasing most information, and when it does as Hawking Radiation, it is in a jumbled form.

    Hi Tom,

    Thanks for your excellent essay and sorry for the delay in my reply!

    I'm definitely not talking about naked singularities at all. So I can't comment on those unfortunately.

    Also I'm not considering Black Hole not their event horizons relative to an outside observer. Indeed you make the same point of me that physical interaction is one way!

    Open space away from the Black Hole is easy. I envisage 3-dimensional exchange of information, such that information can be received and revealed fully across 3-dimensions.

    At the event horizon (or point when no more information escapes out after the fading stops), from the poor astronauts point of view, information can be released inwards towards the black hole and along the event horizon itself. When no space time pathways point outwards.

    The astronaut can not receive information from inside the black hole. This is a point when information can only be BOTH received and revealed across 2-dimensions.

    Then pathways tend towards 1-dimension deeper into the black hole.

    There ought to be a point, from a thought experiment point of view, where information can only be released, and deeper where it can only be received 1-dimensionally. Then at the singularity there are 0-dimensions.

    As mentioned the sequence allows 0 to be skipped over via -1, 1, 0, 1, 1 part via equivalence amongst other reasons.

    The negative valued vertex is a quantum effect of the Black Hole that conserves space time between the black hole and the outside Universe. I've elaborated on this in a comment below.

    Rather than a white hole emerge from this system, it makes a black hole MORE stable because an arrow of time emerges from the entropy increase, that both conserves numbers and shows a natural asymmetry of space time.

    I'll gladly elaborate further if necessary as your questions are excellent and these points, once understood/explained better by me are very compelling and important.

    Very best wishes & pleased to "meet" you,

    Antony

    Hi John,

    You wrote - "Given all the major patches to keep it working, from inflation to dark energy, not to mention everything from time traveling wormholes to multiverses springing out of it, it is all bizarre beyond belief".

    It being current cosmology. I agree there are too many patches, and I don't think inflation, dark energy multiverse nor wormholes make any sense.

    In fact my model only partly explained with regard to information around black holes,bodes explain things more simply. It partly unifies the four forces of nature and resolves the three paradoxes of cosmogony.

    My essay doesn't hint at agreeing with any of these classical phenomenon, but does agree with current empirical data.

    Best wishes,

    Antony

    All,

    I'll be reading the last few essays which I haven't yet commented on over the next two days. If I happened to have missed yours or missed a reply, please let me know and I'll be glad to discuss further.

    Best wishes,

    Antony

    Hello Sridattadev,

    Thanks for sharing. I'll take a look at the video.

    All the best for your writing,

    Antony

    Hi Antony,

    Just playing the devil's advocate: you say that a set with negative dimensionality indeed sounds crazy, but that this is what makes your idea more fundamental. But a mathematician would answer: no, this is what makes your idea wrong, as no such negative dimensionality exists in mathematics.

    That is to say: can you give a definition of the dimensionality of a set, such that this can be negative?

    Best regards,

    Marcoen

    Hi Antony,

    Yours was certainly an original approach, and I like the possibility that the Fibonacci sequence is more fundamental than we suppose, but I am not sure I understand everything you describe. You wrote:

    > However, any information that passes beyond an event horizon becomes empirically lost.

    Essayist Christian Corda claims that it may not be lost. You may want to look at his argument.

    > The only direction where information can be both received and revealed is 2-dimensionally across this 2-dimensional horizon.

    It is not clear to me whether this is possible either. I thought time appears "frozen" at the event horizon to observers falling in.

    > The final part -3-dimensions, again conserves dimensionality by giving the Universe outside the Black Hole information, confirming that a bit of 3-dimensional space has fallen in, so the Universe gets -3 back out.

    You stated in your abstract that information falling in becomes "empirically lost". What do you mean here by "giving the Universe outside the Black Hole information"? Is the information the fact that a bit has fallen in rather than the value of the bit?

    Your concept of "dimensional conservation" is interesting. Do you mean that the dimensions that a particle can send or receive information (summed over all particles) is conserved?

    In my Software Cosmos essay I do not refer to the Fibonacci sequence. But I can see how it could be involved in an architectural layer below the outer physical layer. This layer would be responsible for Life, music, and aesthetics generally. Contrary to the usual assumptions, I think the material could emerge from it rather than the other way around.

    Hugh

      Hi Hugh,

      Thanks for reading and your comments. Great questions.

      I've looked at Christian's essay and he has looked at mine. We agree with regard to information loss, in that I suggest it seems lost, but actually continue to conclude it isn't. It must always be released even if that takes an seemingly infinite amount of time to an outside observer.

      At the event horizon, time moves normally to anyone at that same "altitude". Only seems frozen to an outside observer. I'm considering information exchange AT the horizon.

      The -3 is the bit that an it has fallen in AND the value of that it. Hence dimensionality is balanced between the inside and outside of the Black Hole.

      Dimensional conservation is indeed about the number of dimensions information can be exchanged in the Universe as a whole, yes.

      Your Software Cosmos does certainly sound interesting. I've read it and thought I'd commented, but I'll double check. I'm open to both it and bit being more fundamental, as I currently consider both somewhat equally important, but different.

      Best wishes & thanks again for you excellent questions,

      Antony

      Hi Marcoen,

      Thanks for taking the time to discuss, I'm enjoying it, abd it helps clarify the theory.

      It is good to play devil's advocate, but I don't consider it wrong, just a new idea, which is what the contest is about.

      The negative part comes from the Fibonacci sequence. All positive numbers also have negative square roots, but are generally ignored. Even square root of -2 is a mathematical concept.

      But what I meant by more fundamental, is that it is a quantum like aspect, in that we consider both the positive AND negative dimensionality.

      Also negative in the case of dimensionality here spells out time direction, in that for objects to fall out of a Black Hole, time would have to travel backwards, I.e. a white hole. This should not be confused with normal time s Hawking Radiation.

      Another way to look at negative dimensionality is to imagine what happens when we lose positive dimensionality from the Universe to a Black Hole. The BH gains it as some +ve, while the Universe outside loses it as -ve. So we can even simply imagine it as keeping balance of accounts.

      But I'd suggest that inside the Black Hole the negative is more real.

      Take Hawking Radiation for example, to emit mass, negative virtual mass pops into existence within the BH. Again, like my dimensionality, a "crazy" concept.

      Glad you made this point.

      Many thanks & best wishes,

      Antony

      Indeed, there seems to be a lot of evidence in nature for your theory.

      Antony

      Hi Antony,

      Very nice essay. One does not have to agree with my approach to physics, to receive due credit for clear original thinking. Physics theory requires deep thinking. I enjoyed your novel approach. Good luck in the contest. I have rated your essay.

      James Putnam

        Hi James,

        Many thanks for your kind comments and rating. There have been some wide ranging approaches, but the whole process has been enjoyable.

        Best wishes for the contest and the future,

        Antony

        Hi Antony,

        I'm glad I read your essay! I think you're on to something significant in recognizing a relationship between black holes and a Fibonacci sequence. I also agree with your conclusion that black holes represent the 'reverse' of the holographic principle. Personally (and I know you didn't ask) I think that black holes are the 'wombs' of baby universes forming from our own.

        I think highly of your essay, and rated it so.

        Best to you,

        Ralph

          Hi Ralph,

          Thanks for the kind comments and rating. Likewise I think highly of your essay and rated it so. I'm glad you enjoyed reading my essay.

          I've heard many good arguments that Black Holes are like baby Universes. My thoughts on this don't stray too far either. I imagine that all Black Holes keep growing and never evaporate.

          I think they lose some mass, but always gain more - i.e. no micro black holes should ever form, because the potential for the to evaporate by Hawking radiation is too high.

          Anyway, the larger Black Holes would then continue to grow until the Universe expands to such an extent that there are only Black Holes and empty space in between (save for virtual particles).

          Then all points in space-time become equivalent - even the singularities of the Black Holes.

          Then there would be a Big Bang - so one infinitely large Universe with finite observable size at any given point.

          Great point to make.

          Best wishes and thanks again,

          Antony

          Dear Antony,

          The introduction of the Fibonacci sequence in this contex is a bold enterprise. Although I start in my essay from a very different position, I appreciate your approach.

          All the best,

          Antoine.

            Dear Antony,

            Somebody took your 2 comments ( 1 my answer ) from my blog. Copy of my lost hacked comment you can find in my blog from 3 aug 2013.

            Michael

              Thank you Antony,

              Your essay is very pertinent and relevant.

              Bits of Wheeler are eDuality that we observe in everything.

              I am writing a book about eDuality that explains all things, even our reasoning.

              You said :

              « By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two. »

              and

              « Both the Fibonacci sequence and Wheeler's foundational question rely upon 0 and 1. »

              I analysed Fibonnacci serie before and find the number « two », and eDuality is at the basis of it, sits at the core of this eReality.

              You are in the right way, continue to developpe the idea of Fibonacci sequence in relation with eDuality.

              Two, couples, pairs, opposites, ... are the bits « 0 » and « 1 » of our eReality.

              The two dimensionalities are everywhere.

              eDuality provides the basis upon which all the Universe is built.

              From the First and Primary Principle (eDuality) we can say significantly : Thing never, absolutely never existed without its opposite.

              eReality is a virtuality, and virtuality is our eReality.

              For me : John Wheeler's dream is eReality.

              « It » from « bit », or « bit » from « It », « It » is a « bit », and « bit » is « It », all have emerged from the same fundamental eReality.

              I also rated highly your essay.

              Please visit My essay.