Dear prof. Vishwakarma,

I have rated your wonderful essay with maximum rating. I expect your comments on my essay in my thread. I want to have discussion on Kasner solution a little bit later.

All the best,

Sreenath

Dear Ram Gopal and All,

I am attaching the iDNASeries.bmp that I have envisioned and how it shows the DNA structure in its sequence.

I give you all a cosmological iSeries which spans the entire numerical spectrum from -infinity through 0 to +infinity and the simple principle underlying it is sum of any two consecutive numbers is the next number in the series. 0 is the base seed and i can be any seed between 0 and infinity.

iSeries always yields two sub semi series, each of which has 0 as a base seed and 2i as the first seed.

One of the sub series is always defined by the equation

Sn = 2 * Sn-1 + Sigma (i=2 to n) Sn-i

where S0 = 0 and S1 = 2 * i

the second sub series is always defined by the equation

Sn = 3 * Sn-1 -Sn-2

where S0 = 0 and S1 = 2 * i

Division of consecutive numbers in each of these subseries always eventually converges on 2.168 which is the Square of 1.618.

Union of these series always yields another series which is just a new iSeries of a 2i first seed and can be defined by the universal equation

Sn = Sn-1 + Sn-2

where S0 = 0 and S1 = 2*i

Division of consecutive numbers in the merged series always eventually converges on 1.618 which happens to be the golden ratio "Phi".

Fibonacci series is just a subset of the iSeries where the first seed or S1 =1.

Examples

starting iSeries governed by Sn = Sn-1 + Sn-2

where i = 0.5, S0 = 0 and S1 = 0.5

-27.5 17 -10.5 6.5 -4 2.5 -1.5 1 -.5 .5 0 .5 .5 1 1.5 2.5 4 6.5 10.5 17 27.5

Sub series governed by Sn = 2 * Sn-1 + Sigma (i=2 to n) Sn-i

where S0 = 0 and S1 = 2i = 1

0 1 2 5 13 34 ...

Sub series governed by Sn = 3 * Sn-1 - Sn-2

where S0 = 0 and S1 = 2i = 1

0 1 3 8 21 55 ...

Merged series governed by Sn = Sn-1 + Sn-2 where S0 = 0 and S1 = 2i = 1

0 1 1 2 3 5 8 13 21 34 55 ...... (Fibonacci series is a subset of iSeries)

The above equations hold true for any value of I.

As per Antony Ryan's suggestion, I searched google to see how Fibonacci type series can be used to explain Quantum Mechanics and General Relativity and found an interesting article.

http://msel-naschie.com/pdf/The-Fibonacci-code-behind-super.pdf

Now that I split the Fibonacci series in to two semi series, seems like each of the sub semi series corresponds to QM and GR and together they explain the Quantum Gravity. Seems like this duality is a commonality in nature once relativity takes effect or a series is kicked off from a basic singularity. The only commonality between the two series is at the base seed 0 (singularity) and first seed 1, which are the bits in our binary system.

Its also interesting to see the singularity is in the base seed of zero and how it is all pervasive all through out the DNA structure in the attached image. I have been telling that I is that nothing which dwells in everything and this DNA structure seems to prove that notion. Singularity is right with in the duality. Absolute is right with in the relativity. This proves that both of these states of singularity and duality are interconnected and are the source of life.

Love,

Sridattadev.Attachment #1: 8_iDNASeries.bmp

Professor Vishwakarma:

Richard Feynman in his Nobel Acceptance Speech (http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html)

said: "It always seems odd to me that the fundamental laws of physics, when discovered, can appear in so many different forms that are not apparently identical at first, but with a little mathematical fiddling you can show the relationship. And example of this is the Schrodinger equation and the Heisenberg formulation of quantum mechanics. I don't know why that is - it remains a mystery, but it was something I learned from experience. There is always another way to say the same thing that doesn't look at all like the way you said it before. I don't know what the reason for this is. I think it is somehow a representation of the simplicity of nature."

I too believe in the simplicity of nature, and I am glad that Richard Feynman, a Nobel-winning famous physicist, also believe in the same thing I do, but I had come to my belief long before I knew about that particular statement.

The belief that "Nature is simple" is however being expressed differently in my essay "Analogical Engine" linked to http://fqxi.org/community/forum/topic/1865 .

Specifically though, I said "Planck constant is the Mother of All Dualities" and I put it schematically as: wave-particle ~ quantum-classical ~ gene-protein ~ analogy- reasoning ~ linear-nonlinear ~ connected-notconnected ~ computable-notcomputable ~ mind-body ~ Bit-It ~ variation-selection ~ freedom-determinism ... and so on.

Taken two at a time, it can be read as "what quantum is to classical" is similar to (~) "what wave is to particle." You can choose any two from among the multitudes that can be found in our discourses.

I could have put Schrodinger wave ontology-Heisenberg particle ontology duality in the list had it comes to my mind!

Since "Nature is Analogical", we are free to probe nature in so many different ways. And you have touched some corners of it.

Good luck,

Than Tin

Dear Ram,

Thank you for your interest in my essay. As noted on my page, I believe our theories are compatible and I am working to show this.

You have re-analyzed Einstein's full field equations and concluded that R_{ab} = 0 does not represent 'empty' space-time, as it produces 'curvature', and therefore must represent at least the gravitational fields which, in my opinion [and Einstein's], 'define' or 'make real' space-time. You suggest the fields are represented in the equations through their non-linearity. Of course! What else could represent the self-interacting field?

My approach has been to assume initially one field, with no 'matter' sourced, and attempt to solve the evolution of this field. Except for the initial state of perfect symmetry, I have not focused on cosmological solutions but on particle creation. In particular I have worked with the 'linear' weak field equations which, however, represent a field that is inherently nonlinear. So I have attempted to 'add back' the non-linearity, but in a form that offers new solution possibilities. The jury is still out.

I find your analysis and your arguments compelling, most particularly:

"The fact that the sources of curvature are implicitly present in R_{ij} = 0 and must not be added again (through the stress-energy tensor), is vindicated by the failure to obtain a proper energy stress tensor of a gravitational field."

I'm very excited about your new theory, and believe it offers great promise in a time of great confusion. A stress energy tensor that does not incorporate the stress of the field's non-linearities cannot be the answer. Your approach looks like the answer to me.

My best regards,

Edwin Eugene Klingman

    Dear Edwin,

    Thanks for your wonderful remarks! By the way, mine is not a new theory. It is just the resurrected version of GR. Einstein barely missed it. He did this twice: first, when he discovered that the energy-stress tensor was the `wood' portion of his grand edifice of `marble'. Second, when he couldn't find a proper energy-stress tensor of the gravitational energy. Had he not gone astray, he would have discovered that the concept of the energy-stress tensor is not compatible with a geometric theory of gravitation [Astrophys.Space Sci. 340 (2012) 373-379].

    One should also note that not only the gravitational energy, but the matter field (which is the ultimate cause of the gravitational field) also appears in equations R^{ik}=0 without including the energy-stress tensor. The source mass M appears in Schwarzschild solution, through a constant of integration, without including the energy-stress tensor. (Though GR is not sufficient for this identificaton and we have to invoke extra assumptions. For example, in the present case, we assume that GR should reduce to the Newtonian gravitation in the case of the weak field.)

    Best Regards.

    ___Ram

    Dear Ram,

    One single principle leads the Universe.

    Every thing, every object, every phenomenon

    is under the influence of this principle.

    Nothing can exist if it is not born in the form of opposites.

    I simply invite you to discover this in a few words,

    but the main part is coming soon.

    Thank you, and good luck!

    I rated your essay accordingly to my appreciation.

    Please visit My essay.

    Dr. Vishwakarma,

    An out of the box look at GR is long overdue, especially with the continuing mystery of gravity, black holes and the BB. Your essay was challenging but remarkably clear for an unschooled, yet newborn physics zealot such as myself.

    Empty space is not bereft of energy and does seem to engender gravity, perhaps perturbed by virtual particles. That is my image in portraying the BB in my essay and its occurrence, absent of conscious observation.

    I would welcome your skilled look at my essay.

    Jim

    4 days later

    Dear Ram,

    Congratulations on an important and undervalued work. The very well written essay pales to insignificance against the content.

    However I hope you may bear with me if I suggest it is incomplete and slightly flawed. I suggest we require a quantum gravity also unifying SR and QM.

    Have you ever wandered, lost, then come across a familiar place from an entirely unfamiliar approach? If you know that feeling you'll know how I felt reading your essay.

    Over the last few years using only geometry, dynamics and wide experimental data, not formula, I've evolved and ontological construction including all of the characteristics of the Kasner solution (which I first herd of ten minutes ago) complete with 'singularity', curvature, and 'real' condensed matter particles not just a geometrical field description. This 'discrete field' model (DFM) derives SR direct from QM. It's outlined in my last 3 essays here and includes a cyclic cosmology coherently explaining the peculiar CMB anisotropies and resolving hosts of astronomical and other anomalies (and paradoxes). I'm not sure how well I grasped your proposal at first read, but I think an evolution of Kasner as you are thinking but with a full physical model may work.

    My current essay simply takes one DFM element and shows how that can decode the 'noise' limiting Shannon's channel capacity and resolve the EPR paradox. The full coherent 3D jigsaw puzzle picture seems to stretch way beyond just QG. However, it'd stand no change of even denting doctrine without the rationalisation and description in currently understood terms that you are close to being able to offer. People only gain glimpses of mine but have no conceptual 'hooks' to hang it on. My 7th places in the last two years have not been adequate to turn the judges heads. This year however many more essays are complimentary to mine.

    I commend you for your excellent and important work and essay, certainly top marks from me, and I greatly look forward to discussing my own essay/s with you further.

    Congratulations, and very best wishes.

    Peter

      Dear Peter,

      Thanks for your kind remarks. I hope you may also bear with me if I suggest that we require a theory which can answer why the world is there and why we are here! Then your proposal, or any theory of quantum gravity, would become "incomplete and flawed" in your terms!

      I have kept limited myself, in the present essay, to only the most successful theory of gravitation, i.e., GR. However, there are hopes, in the proposed framework, for further developments, on which I'm working. You know that one of the most common ways for a particular theory to be renormalizable is to be scale invariant. And equation R^{ik}=0 (on which the proposed paradigm is based) presents an scale-invariant theory!

      Best Regards.

      ___Ram

      Ram,

      I quite agree your model may be only 'slightly', but mine may be entirely 'flawed', and almost certainly is: "All we know will ultimately be revealed as false." The best answer I found to why we may be here is Richard Nixeys, we are an organic experiment, which may be called a 'computer' to find out why the scale-invariant greater universe exists! Yes, I agree scale invariance is essential. But I think there are questions we CAN answer which we yet have not.

      I think that is the reason we postulate theories, to be falsified, and that is the reason I would like you to read my essay; so you can judge for yourself. I confirm I was very impressed by your work and believe I will greatly respect your views.

      Very best wishes and thank you.

      Peter

      Having read so many insightful essays, I am probably not the only one to find that my views have crystallized, and that I can now move forward with growing confidence. I cannot exactly say who in the course of the competition was most inspiring - probably it was the continuous back and forth between so many of us. In this case, we should all be grateful to each other.

      If I may, I'd like to express some of my newer conclusions - by themselves, so to speak, and independently of the logic that justifies them; the logic is, of course, outlined in my essay.

      I now see the Cosmos as founded upon positive-negative charges: It is a binary structure and process that acquires its most elemental dimensional definition with the appearance of Hydrogen - one proton, one electron.

      There is no other interaction so fundamental and all-pervasive as this binary phenomenon: Its continuance produces our elements - which are the array of all possible inorganic variants.

      Once there exists a great enough correlation between protons and electrons - that is, once there are a great many Hydrogen atoms, and a great many other types of atoms as well - the continuing Cosmic binary process arranges them all into a new platform: Life.

      This phenomenon is quite simply inherent to a Cosmos that has reached a certain volume of particles; and like the Cosmos from which it evolves, life behaves as a binary process.

      Life therefore evolves not only by the chance events of natural selection, but also by the chance interactions of its underlying binary elements.

      This means that ultimately, DNA behaves as does the atom - each is a particle defined by, and interacting within, its distinct Vortex - or 'platform'.

      However, as the cosmic system expands, simple sensory activity is transformed into a third platform, one that is correlated with the Organic and Inorganic phenomena already in existence: This is the Sensory-Cognitive platform.

      Most significantly, the development of Sensory-Cognition into a distinct platform, or Vortex, is the event that is responsible for creating (on Earth) the Human Species - in whom the mind has acquired the dexterity to focus upon itself.

      Humans affect, and are affected by, the binary field of Sensory-Cognition: We can ask specific questions and enunciate specific answers - and we can also step back and contextualize our conclusions: That is to say, we can move beyond the specific, and create what might be termed 'Unified Binary Fields' - in the same way that the forces acting upon the Cosmos, and holding the whole structure together, simultaneously act upon its individual particles, giving them their motion and structure.

      The mind mimics the Cosmos - or more exactly, it is correlated with it.

      Thus, it transpires that the role of chance decreases with evolution, because this dual activity (by which we 'particularize' binary elements, while also unifying them into fields) clearly increases our control over the foundational binary process itself.

      This in turn signifies that we are evolving, as life in general has always done, towards a new interaction with the Cosmos.

      Clearly, the Cosmos is participatory to a far greater degree than Wheeler imagined - with the evolution of the observer continuously re-defining the system.

      You might recall the logic by which these conclusions were originally reached in my essay, and the more detailed structure that I also outline there. These elements still hold; the details stated here simply put the paradigm into a sharper focus, I believe.

      With many thanks and best wishes,

      John

      jselye@gmail.com

      Hi Ram,

      Thank you for a very intriguing model of gravity. You wrote:

      > It would be interesting to note that a homogeneous, isotropic cosmological solution of equations (2) becomes Minkowskian.

      In my essay Sofware Cosmos, I describe a computational model for the cosmos that answers many cosmological puzzles. One important distinction in my model is between the "explicate" order (which is Minkowskian) and the "implicate" order which is conformally compactified Minkowski space.

      My hypothesis is that it is the curvature of the implicate (rather than total energy) that is responsible for the observed departures of gravitational force from the Newtonian. This can be calculated (via Gauge Theory Gravity) in a flat background and does not require the presence of matter. My picture also includes scale-invariance in the form of fractal structure.

      I hope you get a chance to take a look and tell me what you think.

      Hugh

      Dear Vishwakarma,

      I have a question about the statement that equates K/r with gravitational energy of the field - In Newtonian physics it is not the energy of the field but the energy of a unit mass particle interacting with another particle of mass M, or the potential energy of the unit mass particle. Why and how are you equating it to the energy of the gravitational field?

      Also, apart from the beginning sentence in the abstract I did not find much connection with the topic of the FQXi discussion - can you please say how you address that issue?

      Thanks and regards,

      Unnikrishnan

        Dear Unnikrishnan,

        Thanks for your interest in my essay. I am a bit puzzled by your first question, that why you ask such a trivial one. Is it not the potential energy of the unit mass (situated at a certain point in the gravitational field of mass M) by which we measure the gravitational (potential) energy of the field produced by mass M in the Newtonian mechanics? Is this energy not calculated in terms of the work done in bringing this (unit) mass from infinity to that point? And does this work not equal to -GM/r, where r is the radial distance between the source mass M and the unit test mass?

        The aim of the present FQXi contest is to provide foundational, innovative and influential thinking on Wheeler's dictum "it from bit". Here `bit' stands for the information and `it' for physics of the Universe. In the introduction of the essay, I have framed a goal to show that a correct physical theory of the Universe (`it') can emerge from the `bit' if perceived correctly. The rest of the essay is devoted to this goal only, in the spirit of the philosophy of the FQXi, and I did not find it necessary to mention the words `it', `bit', `information' several times unnecessarily.

        Regards.

        ___Ram

        Posted at my essay comment area:

        Dear Ram,

        sorry for the long gap in answering your question (I was on vacation with my family).

        According to my ideas, matter is also part of the spacetime (a part of the 3-space). So verything is unified: spacetime and matter, Bit and It.

        Best

        Torsten

        Now more:

        I like your essay. You also went along the usual way not modifying the spacetime (to be discrete etc.) I rated it a longer time ago very high.

        So Good luck and Best wishes

        Torsten

        Ram,

        I do hope you may get the time to also read my essay and comment. Both having read each others seems an essential requisite for useful communication.

        You also may be able to guide me on the areas I see commonality with my more geometric, epistemic and and heuristic ontology.

        I think your work is valuable and hope my score may help it make the final cut.

        Very best wishes

        Peter

        Best of Luck for the Magnificent Eight !

        I am throught the 180 essays, all rated. For me 2/3 of them were poor and other 1/6 curious. The rest (1/6) have I rated over 4/10.

        You are among the authors of the top essays from my sight - alphabetically :

        Corda, D'Ariano, Maguire, Rogozhin, Singleton, Sreenath, Vaid, Vishwakarma,

        and I hope one of you will be the winner. (Please, don't rate my essay.)

        David